Venice InLine, Inc., was founded by Russ Perez to produce a specialized in-line skate he had designed for doing aerial tricks. Up to this point, Russ has financed the company with his own savings and with cash generated by his business. However, Russ now faces a cash crisis. In the year just ended, an acute shortage of high-impact roller bearings developed just as the company was beginning production for the Christmas season. Russ had been assured by his suppliers that the roller bearings would be delivered in time to make Christmas shipments, but the suppliers were unable to fully deliver on this promise. As a consequence, Venice InLine had large stocks of unfinished skates at the end of the year and was unable to fill all of the orders that had come in from retailers for the Christmas season. Consequently, sales were below expectations for the year, and Russ does not have enough cash to pay his creditors.

Well before the accounts payable were due, Russ visited a local bank and inquired about obtaining a loan. The loan officer at the bank assured Russ that there should not be any problem getting a loan to pay off his accounts payable—providing that on his most recent financial statements the current ratio was above 2.0, the acid-test ratio was above 1.0, and net operating income was at least four times the interest on the proposed loan. Russ promised to return later with a copy of his financial statements.

Jurgen would like to apply for a $125,000 six-month loan bearing an interest rate of 8% per year. The unaudited financial reports of the company appear below.

Venice InLine, Inc.
Comparative Balance Sheet
As of December 31
(dollars in thousands)
This Year Last Year
Assets
Current assets:
Cash $ 90.0 $ 260.0
Accounts receivable, net 80.0 95.0
Inventory 290.0 185.0
Prepaid expenses 35.0 53.0
Total current assets 495.0 593.0
Property and equipment 410.0 180.0
Total assets $ 905.0 $ 773.0
Liabilities and Stockholders' Equity
Current liabilities:
Accounts payable $ 251.0 $ 135.0
Accrued liabilities 35.0 40.0
Total current liabilities 286.0 175.0
Long-term liabilities .0 .0
Total liabilities 286.0 175.0
Stockholders' equity:
Common stock and additional paid-in-capital 150.0 150.0
Retained earnings 469.0 448.0
Total stockholders' equity 619.0 598.0
Total liabilities and stockholders' equity $ 905.0 $ 773.0
Venice InLine, Inc.
Income Statement
For the Year Ended December 31
(dollars in thousands)
This Year
Sales (all on account) $ 665.0
Cost of goods sold 460.0
Gross margin 205.0
Selling and administrative expenses:
Selling expenses 63.0
Administrative expenses 112.0
Total selling and administrative expenses 175.0
Net operating income 30.0
Interest expense –
Net income before taxes 30.0
Income taxes (30%) 9.0
Net income $ 21.0
Required:
1a. Based on the above unaudited financial statement of the current year calculate the following. (Round your answers to 2 decimal places.)

Current ratio
Acid-test ratio
Number of times of the net operating income to the interest on the proposed loan
1b. Based on the statement made by the loan officer, would the company qualify for the loan? (Yes/No)
2.
Last year Jurgen purchased and installed new, more efficient equipment to replace an older heat-treating furnace. Jurgen had originally planned to sell the old equipment, but found that it is still needed whenever the heat-treating process is a bottleneck. When Jurgen discussed his cash flow problems with his brother-in-law, he suggested to Jurgen that the old equipment be sold or at least reclassified as inventory on the balance sheet because it could be readily sold. At present, the equipment is carried in the Property and Equipment account and could be sold for its net book value of $120,000. The bank does not require audited financial statements.

a.
Calculate the follwing if the old machine is considered as inventory. (Round your answers to 2 decimal places.)

Current ratio
Acid-test ratio
b.
Based on the 2a above would the company qualify for the loan? (Yes/No)

c.
Calculate the following if the old machine is sold off. (Round your answers to 2 decimal places.)

Current ratio
Acid-test ratio
d.
Based on the 2c above would the company qualify for the loan? (Yes/No)

Answers

Answer 1

1. Determine the following based on the above unaudited financial statement for the current year:

Current Ratio

493 Current Assets

276 Current Liabilities

1.79:1 Current Ratio

Acid Test Ratio:

Accounts Receivables 83 Cash 100

Quick Ratio 0.66:1 Total Quick Assets 183 Current Liabilities 276

? The ratio of net operating income to interest on the proposed loan.

Net Operating Income 20 Interest Expense 0 Time Interest Earned

2. Would the company qualify for the loan based on the loan officer's statement?

According to the calculated ratios, the company does not qualify for the loan since the current ratio of 1.79 is less than the 2 required, the quick ratio of 0.66 is less than the 1 required, and the time interest ratio is less than the required.3. Last year Jurgen purchased and installed new, more efficient equipment to replace an older heat-treating furnace.

Considering the case that is presented in the financial statements as property, plant, and equipment, it will not affect the current quick and current ratios of the company. However, if this will be reclassified as inventory, considering the intention of reselling it, the current ratio will be changed as follows:

Original Current Asset 493

Reclassification of the for Sale Equipment 95

New Balance of Current Assets 588

Current Liabilities 276

New Current Ratio 2.13

In this case, the company will qualify for the required current ratio of 2.0. However, still, other requirements, such as the quick ratio and time interest earned will still not satisfied.

4. Calculate the following if the old machine is considered as inventory. (Round your answers to 2 decimal places.)

? Current Ratio

Original Current Asset 493

Reclassification of the for Sale Equipment 95

New Balance of Current Assets 588

Current Liabilities 276

New Current Ratio 2.13

Acid Test Ratio

Cash 83

Accounts Receivables 100

Total Quick Assets 183

Current Liabilities 276

Quick Ratio 0.66:1

5. Calculate the following if the old machine is sold off:

Current Ratio

Current Assets (493+95) 588

Current Liabilities 276

Current Ratio 2.13:1

Acid Test Ratio

Cash (83+95) 178

Accounts Receivables 100

Total Quick Assets 278

Current Liabilities 276

Quick Ratio 1.01:1

Learn more about Ratios analysis here

https://brainly.com/question/28624468

#SPJ4


Related Questions

If a country has a current account deficit, which of the following must be true? It must also show a deficit in its capital account. It must also show a deficit in its capital account. A It must show a surplus in its capital account. It must show a surplus in its capital account. B It must increase the purchases of foreign goods and services. It must increase the purchases of foreign goods and services. C It must increase the domestic interest rates on its bonds. It must increase the domestic interest rates on its bonds. D It must limit the flow of foreign capital investment.

Answers

Answer:

A. It must show a surplus in its capital account.

Explanation:

A deficit can be defined as an amount by which money, falls short of its expected value.

In Financial accounting, deficit is usually as a result of revenue falling below expenses or expense exceeding revenue at a specific period of time.

For instance, if in a country liabilities exceeds assets or import exceeds export there would be a deficit in the financial account of the country.

Generally, a deficit on the current account of a country leads to a surplus on the financial and capital account. This is simply as a result of a country having to import more goods and services than it is exporting to other countries in trade.

Hence, if a country has a current account deficit, it must show a surplus in its capital account.

In conclusion, a deficit on the current account is because the value of goods and services exported is lower than the value of goods and services being imported in a particular country.

Use the drop-down menus to explain how to create a one-to-one relationship using the primary keys of two tables.
1. Open the database.
2. On the Database Tools tab, in the Relationships group, click
3. On the Relationship Tools Design tab, in the Relationships group, click
4. In the dialog box, click one of the tables to add, and click Add.
5. Click the other table to add, click Add, and click
6. Click and drag the primary key from a table, and drop it on the primary key of the other table.
7. In the Edit Relationships dialog box, make sure the correct fields are being linked.
8. Click the Enforce Referential Integrity checkbox, and click

Answers

Answer:relationships, show table, close, create

Explanation: just did it

Answer:

Use the drop-down menus to explain how to create a one-to-one relationship using the primary keys of two tables.

1. Open the database.

2. On the Database Tools tab, in the Relationships group, click

✔ Relationships

.

3. On the Relationship Tools Design tab, in the Relationships group, click

✔ Show Table

.

4. In the dialog box, click one of the tables to add, and click Add.

5. Click the other table to add, click Add, and click

✔ Close

.

6. Click and drag the primary key from a table, and drop it on the primary key of the other table.

7. In the Edit Relationships dialog box, make sure the correct fields are being linked.

8. Click the Enforce Referential Integrity checkbox, and click

✔ Create

Explanation: Just did it and its correct

A portfolio has 75 shares of Stock A that sell for $43 per share and 115 shares of Stock B that sell for $31 per share.
(a) What is the portfolio weight of Stock A?
HINT: The portfolio weight is the percent of the portfolio's total value that is invested in Stock A.
0.4750
0.4850
0.4236
0.6011
0.4650

Answers

The portfolio weight of Stock A is approximately 0.4750. Option A is the correct answer.

To calculate the portfolio weight of Stock A, we need to determine the total value of the portfolio and the value of Stock A in the portfolio.

The total value of the portfolio can be calculated as follows:

Total Value = (Number of shares of Stock A × Price per share of Stock A) + (Number of shares of Stock B × Price per share of Stock B)

Total Value = (75 × $43) + (115 × $31)

Total Value = $3,225 + $3,565

Total Value = $6,790

Now, we can calculate the portfolio weight of Stock A:

Portfolio Weight of Stock A = (Value of Stock A / Total Value)

Portfolio Weight of Stock A = ($3,225 / $6,790)

Portfolio Weight of Stock A ≈ 0.4750

Therefore, the portfolio weight of Stock A is approximately 0.4750.

The correct answer is option A: 0.4750.

Learn more about the portfolio weight of stock at

https://brainly.com/question/32248241

#SPJ4

true/false. nested tags automatically adopt the properties of tags that are higher in the tag structure.

Answers

False. In HTML and XML, nested tags do not automatically adopt the properties of tags higher in the tag structure.

Each tag's properties and behaviors are defined independently, and nesting tags only affects their hierarchical relationship, not their inherent properties. The properties of a nested tag are typically specified separately within its own tag definition or through cascading stylesheets (CSS).

In HTML and XML, each tag has its own set of properties and behaviors defined by its associated element type or defined explicitly through attributes. While nested tags create a hierarchical structure, they do not inherently inherit the properties of their parent tags. Instead, specific properties can be applied to nested tags through CSS, which allows for cascading styles from higher-level tags. This separation of properties and behaviors provides flexibility in designing and styling web content.

Learn more about properties  here:

https://brainly.com/question/29528704

#SPJ11

A change from Point B to Point C represents a(n): B E Price D Quantity O decrease in supply. O increase in quantity supplied. O increase in supply. O decrease in quantity supplied. 52 50

Answers

A change from Point B to Point C represents an increase in supply.

An increase in supply occurs when the quantity of goods and services that producers are willing to offer at a given price point increases. As a result, the supply curve shifts to the right in the diagram, indicating an increase in supply. This happens as a result of factors that influence the cost of production, including technological advances, lower input prices, and higher profit margins.An increase in supply results in lower prices and higher quantities. When supply rises, the equilibrium point shifts down and to the right, indicating a new, lower price and a greater quantity demanded. This new price and quantity level provide a new equilibrium point, indicating the point at which the market can effectively clear the supply and demand of the item.

Know more about supply here:

https://brainly.com/question/13296654

#SPJ11

when analyzing and advising clients about funding their retirement, qualitative factors are of much less significance than quantitative or financial factors.T/F

Answers

False. When analyzing and advising clients about funding their retirement, both qualitative and quantitative factors are significant and should be considered.

While quantitative or financial factors such as income, savings, investments, and expenses play a crucial role in determining retirement funding needs and strategies, qualitative factors should not be overlooked. Qualitative factors involve personal considerations and individual circumstances that can impact retirement planning, such as lifestyle goals, health status, risk tolerance, desired retirement age, family dynamics, and personal values. These factors help shape the retirement plan and ensure it aligns with the client's unique situation and aspirations. A comprehensive retirement plan should consider both quantitative and qualitative factors to provide a well-rounded and customized approach to meet the client's retirement goals.

Learn more about qualitative and quantitative factors here:

https://brainly.com/question/14620279

#SPJ11

(b) Analyse from an investor's point of view if common stock is riskier than bond. (10 marks)

Answers

We can see here that common stock is riskier than bond from an investor's point of view.

The reasons common stock is riskier than bond:

Unpredictable returnsLimited voting rightsPotential for loss of investment

Who is an investor?

An investor is an individual, organization, or entity that allocates funds or resources, typically with the expectation of generating a financial return or achieving a specific goal.

Investors engage in various investment activities to grow their wealth, preserve capital, or support ventures they believe in. They commit their funds to assets, projects, or securities with the aim of generating income or capital appreciation over time.

Learn more about investor on https://brainly.com/question/30130634

#SPJ4

T/F. the first step in making an ethical decision is to understand the problem.

Answers

True, The first step in making an ethical decision is to understand the problem. To make an ethical decision,

it is crucial to have a clear understanding of the situation or problem at hand. This involves gathering relevant information, facts, and context to comprehend the ethical dimensions and potential consequences of the decision.

Understanding the problem allows individuals to identify the stakeholders involved, consider their interests and rights, and evaluate the ethical implications of various choices.

Once the problem is understood, it becomes possible to analyze the ethical aspects of the situation, consider different perspectives, and determine the underlying ethical principles or values that should guide the decision-making process.

Understanding the problem provides a foundation for subsequent steps, such as identifying alternative courses of action, assessing their ethical implications, and choosing the most ethically appropriate solution.

In summary, the first step in making an ethical decision is to understand the problem. This involves gaining clarity about the ethical dimensions, gathering relevant information, and comprehending the context to evaluate the situation from an ethical standpoint.

To know more about interest click here

brainly.com/question/28479401

#SPJ11

what risk does the hotel face for not training staff to converse with arriving guests?

Answers

The risk that a hotel faces for not training its staff to converse with arriving guests is that the guests may have a negative experience, which can lead to poor reviews, reduced bookings, and loss of revenue.

Good communication skills are essential in the hospitality industry because guests expect to be treated with respect and professionalism from the moment they arrive. The lack of proper communication can lead to misunderstandings, frustration, and an overall negative perception of the hotel and its staff.

Training staff to converse with arriving guests is an investment that can yield significant returns. Well-trained staff can create a positive first impression, establish rapport with guests, and provide valuable information that enhances the guest's experience.

Additionally, effective communication can help prevent and resolve conflicts, which can lead to higher guest satisfaction and loyalty. Therefore, hotels should prioritize staff training to ensure that guests feel welcomed and valued from the moment they arrive.

To know more about revenue, refer to the link:

https://brainly.com/question/14952769#

#SPJ11

When two companies get involved in each other's business in any form, there are structural changes that take place in both companies. The following is one of the ways in which companies join forces: Two companies enter into a formal relationship to pursue a mutually beneficial goal without combining all their assets. This statement best describes a. Digicon Inc. has been a leading producer of computer hardware, including hard drives and CD-ROM drives, for a couple of decades. More recently, Digicon entered the software market, and this division has grown to be a major part of Digicon's overall corporate structure. The hardware and software markets are very different lines of business and the firm has struggled at times when making strategic decisions that affect both lines. Digicon is now in the process of carving out its software division. Which method of changing corporate control does this example illustrate? Merger or acquisition Leveraged buyout Divestiture Corporate alliance

Answers

The example provided in the statement illustrates a divestiture as a method of changing corporate control. Option C is correct.

A divestiture refers to the process of a company selling, spinning off, or otherwise disposing of a portion of its business or division. In this case, Digicon Inc., a company primarily involved in computer hardware production, entered the software market and developed a software division. However, the hardware and software markets are distinct and have different strategic considerations.

Due to the challenges faced by Digicon in making strategic decisions that affect both the hardware and software lines of business, the company has decided to carve out its software division. Carving out the division means separating it from the rest of the company, potentially creating a separate entity or forming a partnership to focus on the software market independently.

By divesting the software division, Digicon can streamline its operations, allocate resources more effectively, and potentially enable the software division to pursue its goals and strategies more efficiently. This approach allows both the hardware and software divisions to pursue their respective goals and objectives without completely combining all their assets.

Hence, C. is the correct option.

To know more about divestiture here

https://brainly.com/question/14789157

#SPJ4

--The given question is incomplete, the complete question is

"When two companies get involved in each other's business in any form, there are structural changes that take place in both companies. The following is one of the ways in which companies join forces: Two companies enter into a formal relationship to pursue a mutually beneficial goal without combining all their assets. This statement best describes a. Digicon Inc. has been a leading producer of computer hardware, including hard drives and CD-ROM drives, for a couple of decades. More recently, Digicon entered the software market, and this division has grown to be a major part of Digicon's overall corporate structure. The hardware and software markets are very different lines of business and the firm has struggled at times when making strategic decisions that affect both lines. Digicon is now in the process of carving out its software division. Which method of changing corporate control does this example illustrate? A) Merger or acquisition B) Leveraged buyout C) Divestiture D) Corporate alliance."--

There are many types of leadership style.Using any three (3) dimensions of servant leadership, explain how a leader can motivate the Millennials to perform at their best?

Answers

Servant leadership is a leadership style that focuses on serving others, empowering them, and prioritizing their needs above one's own. It comprises various dimensions, and three dimensions can be explained to show how a leader can motivate millennials to perform at their best. The three dimensions of servant leadership include empathy, stewardship, and community building.

Below is an explanation of how each of these dimensions can be used to motivate millennials:

Empathy: Leaders need to understand and relate to the millennials they lead. Empathy is the ability to understand another person's feelings, thoughts, and behaviors. When a leader can empathize with millennials, they can create a rapport that motivates millennials to perform at their best. Empathy allows a leader to understand what motivates millennials, their concerns, and aspirations.

Stewardship: This dimension focuses on the leader's responsibility to take care of the people and resources they are entrusted with. Millennials want to be part of a bigger purpose than themselves, and they want to contribute to society. A leader who prioritizes stewardship will motivate millennials by showing them how their contributions impact the larger society. Stewardship also encourages leaders to develop their team's skills, making them better equipped to perform their tasks.

Community Building: Millennials thrive in a collaborative environment that allows them to connect with others. Leaders can create a community by fostering teamwork, celebrating milestones, and creating a sense of belonging. A leader who prioritizes community building motivates millennials to perform at their best by showing them they are part of something bigger than themselves.

In conclusion, servant leadership can be used to motivate millennials to perform at their best. Leaders can use the dimensions of empathy, stewardship, and community building to create a work environment that empowers and motivates millennials.

Learn more about servant leadership here:-

https://brainly.com/question/15576767

#SPJ11

Which of the following statements is True about the capital allocation process? OA OB. Promotes productivity. OC. Encourages innovation. O.D. Provides timely, relevant information and encourages innovation.

Answers

The correct answer among the following statements that are true about the capital allocation process is that it provides timely, relevant information and encourages innovation.

The capital allocation process refers to the way companies determine how to invest their available capital in various projects, divisions, or assets. The capital allocation process of a company should be optimized so that the maximum value for the shareholders can be delivered by balancing the expected returns of the different investment opportunities that are available to the company.

The capital allocation process provides timely, relevant information and encourages innovation. By investing resources and capital in a variety of initiatives and projects, companies can promote productivity, provide greater job opportunities, and encourage innovation.

To know more about innovation refer to:

https://brainly.com/question/24261602

#SPJ11

FILL THE BLANK. "1 If a country is facing an internal imbalance of under
employment, and an external imbalance of a too large a Current
Account deficit, then the recommended policies to restore balance
involves a(n) _"

Answers

If a country is facing an internal imbalance of under employment, and an external imbalance of a too large a current account deficit, then the recommended policies to restore balance involves a balance of payments policy.

When a country is experiencing underemployment internally, it means that there is a significant number of unemployed or underutilized resources, such as labor and capital, within the country. Additionally, if the country has a large Current Account deficit externally, it indicates that it is importing more goods and services than it is exporting, resulting in a deficit in its international trade.

To restore balance in such a situation, the recommended policies typically focus on achieving a balance of payments. The balance of payments refers to the record of all economic transactions between residents of a country and the rest of the world over a specific period. It includes the current account, capital account, and financial account.

To address the internal imbalance of underemployment, the country may implement expansionary fiscal policies, such as increasing government spending or reducing taxes, to stimulate domestic demand and create job opportunities. This can help reduce unemployment and utilize underutilized resources.

Simultaneously, to address the external imbalance of a large Current Account deficit, the country may implement policies to promote exports and reduce imports. This can involve measures such as currency devaluation to make exports more competitive, trade promotion initiatives, import restrictions, or improving domestic production capacity.

By focusing on achieving a balance of payments, the country aims to restore equilibrium between its internal and external economic conditions. The ultimate goal is to achieve full employment and a sustainable level of economic growth while ensuring a more balanced trade relationship with other countries.

Learn more about balance of payment here:-

https://brainly.com/question/30080233

#SPJ11

ch 3: measures and indicators of product and service performance that have a strong correlation with customer satisfaction are appropriate to monitor. t/f

Answers

Measures and indicators of product and service performance that have a strong correlation with customer satisfaction are appropriate to monitor- true.

In Chapter 3 of a company's process of measuring and monitoring quality, product and service performance are vital. The majority of the performance indicators are concerned with quality, cost, and delivery. The delivery process includes customer service and satisfaction.

As a result, the given statement is "True" or T.The measures and indicators of product and service performance that have a strong correlation with customer satisfaction are appropriate to monitor. In other words, if a product or service satisfies customers, it will eventually lead to success and revenue for the company. Thus, monitoring customer satisfaction is critical for the long-term success of any company.

To know more about customer visit :

brainly.com/question/32406737

#SPJ11

Sugar Industries has provided the following data for its 2022 operations (ignore income taxes): 2022 revenues were $150,900. 2022 expenses were $76,500. Dividends declared and paid during 2022 totaled $15,450. Total assets at December 31, 2022 were $289,500. Total liabilities at December 31, 2022 were $181,500. Common stock at December 31, 2022 was $66,000. Which of the following is correct? Total stockholders' equity at December 31, 2022 was $351,600. 2022 net income was $58,950. Retained earnings at December 31, 2022 were $58,950. Retained earnings at December 31, 2022 were $42,000.

Answers

The correct statement is "Retained earnings at December 31, 2022 were $58,950.

2022 revenues: $150,900

2022 expenses: $76,500

Dividends declared and paid in 2022: $15,450

Total assets at December 31, 2022: $289,500

Total liabilities at December 31, 2022: $181,500

Common stock at December 31, 2022: $66,000

Total stockholders equity at December 31, 2022:

Total Stockholders Equity = Total Assets - Total Liabilities

Total Stockholders Equity = $289,500 - $181,500

Total Stockholders Equity = $108,000

2022 net income:

Net Income = Revenues - Expenses

Net Income = $150,900 - $76,500

Net Income = $74,400

Retained earnings at December 31, 2022

Retained Earnings = Net Income - Dividends

Retained Earnings = $74,400 - $15,450

Retained Earnings = $58,950

Learn more about Retained earnings at:

brainly.com/question/14529006

#SPJ4

4. (6 marks) Michael has the utility function (xx, yy) = √xx + �yy. Michael’s preferences are strongly increasing and strongly convex. You don’t need to show this. (a) (3 marks) Compute the expenditure minimizing demands for xx and yy as functions of utility and prices. (b) (3 marks) Compute the CV when prices and income change from �ppxx, ppyy,� = (10,10,10) to (5,20,20).

Answers

The utility function of Michael is: (xx, yy) = √xx + √yyLet px and py be the prices of the goods xx and yy respectively, and M be the income. Then the expenditure minimization problem of Michael is:minimize I = pxx + pyysubject to √xx + √yy = Uand M = pxx + pyy.

The Lagrangean function isL = pxx + pyy + λ(U - √xx - √yy) + μ(M - pxx - pyy),where λ and μ are the Lagrangean multipliers.The first-order conditions are:∂L/∂xx = 0 ⇔ px/2λ√xx - μ = 0,∂L/∂yy = 0 ⇔ py/2λ√yy - μ = 0,∂L/∂λ

= 0 ⇔ U - √xx - √yy = 0, and∂L/∂μ = 0 ⇔ M - pxx - pyy = 0.From the first two first-order conditions, we havepx√xx = py√yy.The third and fourth first-order conditions giveU = √xx + √yy andpxx + pyy = M, respectively.Thus,pxx = M/(1 + py/px), andpyy = M/(1 + px/py).

Substituting these into the condition √xx + √yy = U, we have√M/(1 + py/px) + √M/(1 + px/py) = U.Squaring both sides, we get(M/U2){(px + py)U2 + 2pxpy} = 4M.Thenpxpy = (1/2)(U2 - (U2 - 4pxpy)).Solving for pxpy, we havepxpy = U2/8.Now,px√

xx = py√yy ⇔ px

2xx = py2yy ⇔ (px/py)

2 = (yy/xx).Hence,(px/py)

2 = (yy/xx)

= U2/(8xx) - 1.Then(8xx/U2)(px/py)

2 = 1/(xx) - 1/U2. Thus,

let s = (px/py)2, then(8/U2)

s = 1/(xx) - 1/U2.Substituting pxx and pyy from above, we get

xx = (M2/U2)(s/(1 + s)2),

andyy = (M2/U2)((1 + s)/(s)2).

To know more about expenditure visit:

https://brainly.com/question/30063968

#SPJ11

3. Two sets of cash flows are shown in the table below. Year 0 1 2 3 4 5 Cash Flow, Series I $125 $100 $75 $50 $25 $0 Cash Flow, Series II SX $ 2X $ 3X $ 4X $5X $ 7X If these sets are equal at 8% interest rate, determine the unknown value, X. 4. Jim Showoff bought a Mercedes when he came to Tech as an engineering student (so that his feet would not get cold on the way to those early morning classes). The Mercedes was purchased by taking a loan that was to be paid off in 20 equal, quarterly payments. The interest rate on the loan was 12% per year with quarterly compounding. After four years, at the time that Joe made his 16th payment, he got married (too many dates!) and sold the Mercedes to his buddy Sam Pledge. Sam made arrangements with Joe's bank to refinance the loan and to pay Joe's unpaid balance by making 16 equal quarterly payments at the same interest rate that Joe was paying. After 3 years, at the time that Sam made his 13th payment, Sam flunked out (too many dates!) and sold the car to Nancy. Nancy paid the bank $2,000 cash (she had a good summer job!) to pay the loan balance. What was the amount of Joe's loan to purchase the Mercedes when it was new?

Answers

The unknown value, X, is approximately 25.87.

To determine the unknown value, X, in the equal cash flows, Series II, we can equate the present values of both cash flow series at an 8% interest rate. The present value of Series I can be calculated as follows:

PV(I) = 125/(1 + 0.08)^0 + 100/(1 + 0.08)^1 + 75/(1 + 0.08)^2 + 50/(1 + 0.08)^3 + 25/(1 + 0.08)^4 + 0/(1 + 0.08)^5

Simplifying the equation gives:

PV(I) = 125 + 92.59 + 64.25 + 41.94 + 23.14 + 0 = 347.92

Now, let's calculate the present value of Series II using the unknown value, X:

PV(II) = X/(1 + 0.08)^0 + 2X/(1 + 0.08)^1 + 3X/(1 + 0.08)^2 + 4X/(1 + 0.08)^3 + 5X/(1 + 0.08)^4 + 7X/(1 + 0.08)^5

Simplifying the equation gives:

PV(II) = X + 1.85X + 2.43X + 2.56X + 2.49X + 3.13X = 13.46X

Since the two cash flow series are equal, we can set their present values equal to each other:

347.92 = 13.46X

Solving for X gives:

X = 347.92 / 13.46 = 25.87

For more such questions on unknown value

https://brainly.com/question/29102781

#SPJ11



Welch Company is considering three independent projects, each of which requires a $5 million investment. The estimated internal rate of return (IRR) and cost of capital for these projects is presented below:

Project H (High risk): Cost of capital = 15% IRR = 19%
Project M (Medium risk): Cost of capital = 13% IRR = 11%
Project L (Low risk): Cost of capital = 8% IRR = 10%

Note that the projects' costs of capital vary because the projects have different levels of risk.

The company's optimal capital structure calls for 30% debt and 70% common equity, and it expects to have net income of $12,494,000.

If Welch establishes its dividends from the residual dividend model, what will be its payout ratio? Round your answer to two decimal places.

Answers

Welch Company's payout ratio under residual dividend model will be 2238322.8% (rounded to two decimal places).

Residual Dividend Model Residual dividend model refers to a method of estimating the dividends paid to the shareholders of a company. Under this model, the dividend paid to shareholders is calculated by deducting the equity investment's minimum required return from the firm's net income.

The residual amount available after paying dividends is then retained by the company as internal equity for its operations. Calculation of payout ratio under residual dividend model is done by dividing dividends paid per share by earnings per share.

To compute the dividends per share under the residual dividend model, the amount of earnings that is not needed to finance capital expenditures and any additional working capital requirements is distributed to shareholders. If a company employs a residual dividend model, the payout ratio can fluctuate depending on the amount of capital expenditure required for future operations.

Welch Company's payout ratio under residual dividend model is calculated as follows: To determine the amount of dividends paid per share, subtract equity's minimum required return from the net income. The amount remaining after paying dividends is retained by the company as internal equity.

The formula for dividends paid per share is as follows: Dividends paid per share = Net income - (Equity investment × Minimum required return)To determine the residual amount available, multiply the amount of equity by the minimum required rate of return, which is the rate of return that equity investors demand for their investment. Minimum required return is also known as the cost of equity.

The formula for the residual amount available is as follows: Residual amount available = Equity investment × Minimum required return Substitute the values given in the question.

Dividends paid per share = $12,494,000 - (0.70 × $12,494,000 × 0.10) = $3,745,200Residual amount available = 0.70 × $12,494,000 × 0.10 = $87,458Payout ratio = Dividends per share / Earnings per share We need to find the earnings per share, which are calculated using the following formula: Earnings per share = Net income / Total shares outstanding Substitute the values given in the question. Earnings per share = $12,494,000 / 7,500,000 = $1.67Payout ratio = $3,745,200 / $1.67 = 2,238,322.8% (rounded to two decimal places)

Therefore, Welch Company's payout ratio under residual dividend model will be 2238322.8% (rounded to two decimal places).

For more such questions on residual dividend

https://brainly.com/question/19338996

#SPJ11

Consolidated financial statements are the financial statements
of a group in which the assets, liabilities, equity, income,
expenses and cash flows of the parent and its subsidiaries are:
a. presented

Answers

Consolidated financial statements are an important part of financial reporting.

Consolidated financial statements are the financial statements of a group in which the assets, liabilities, equity, income, expenses, and cash flows of the parent and its subsidiaries are presented. A parent company owns and controls subsidiaries, and they operate as a single entity. These statements provide an overview of the overall financial health of the company as a whole. In accounting, the objective of consolidated financial statements is to provide investors, creditors, and stakeholders with a picture of the combined economic entities' financial position, performance, and cash flows. Consolidated financial statements' presentation provides stakeholders with a more comprehensive view of the financial situation of a group, resulting in more meaningful information. Thus, consolidated financial statements are an important part of financial reporting.

To know more about cash flows  visit:

https://brainly.com/question/27994727

#SPJ11

Out of neoclassical, ecological and feminist economics, which
one would aid in reducing climate change?

Answers

Neoclassical and feminist economics are important areas of study in economics, ecological economics would aid in reducing climate change.

Ecological economics would aid in reducing climate change. Ecological economics is a type of economics that focuses on the relationships between economic growth and ecological sustainability. It's a branch of economics that is concerned with the study of environmental policies and the consequences of economic growth on the environment.

Ecological economics emphasizes the importance of sustainability in economic growth. It recognizes that there is a link between economic growth and the environment, and it seeks to promote the use of sustainable development methods to reduce the effects of climate change. It takes into account the environmental, social, and economic factors that contribute to climate change and considers how they can be reduced.

In conclusion, while neoclassical and feminist economics are important areas of study in economics, ecological economics would aid in reducing climate change.

To learn more about  ecological economics click here:

brainly.com/question/13353436

#SPJ11

Rachel bought a motor vehicle for £25,000. The vehicle has an estimated useful life of 3 years and an estimated residual value of £2,500. If depreciation is to be provided on the straight-line basis, which of the following statements is true? a. Depreciation will be provided at 33% on cost. b. Depreciation will be provided at 30% on cost. c. Depreciation will be provided at 10% on cost. d. Depreciation will be provided at 37% on cost.

Answers

Depreciation will be provided at 30% on costIf Rachel bought a motor vehicle for £25,000, the vehicle's estimated useful life is 3 years, and its estimated residual value is £2,500,

the depreciation is to be provided on the straight-line basis; we are required to find out the rate at which depreciation is to be provided. On the straight-line basis, the same amount of depreciation is charged every year over the useful life of the asset. Straight-line depreciation is calculated as the difference between an asset's cost and its salvage value divided by the number of years it is expected to be in use.

Depreciation for a fixed asset is computed by subtracting its residual value from its cost and dividing the result by the asset's useful life. Here, the vehicle's cost is £25,000 and the residual value is £2,500. The vehicle's depreciable value is £22,500 (£25,000 – £2,500). We are going to divide the depreciable value by the asset's useful life of three years:Depreciation = Depreciable Value / Useful lifeDepreciation = £22,500 / 3Depreciation = £7,500 per year

To know more about cost visit:

https://brainly.com/question/14566816

#SPJ11

Which of the following is not a goal of the Federal Deposit Insurance Corporation (FDIC)? Group of answer choices Insure deposits. Protect consumer from excessive losses in the stock market. Manage receiverships. Supervise financial institutions for financial stability.

Answers

The goal of the Federal Deposit Insurance Corporation (FDIC) that does not align with its mission is "Protect consumer from excessive losses in the stock market."

The FDIC's primary goals are to ensure the stability and public confidence in the nation's financial system by insuring deposits, managing receiverships, and supervising financial institutions. However, the FDIC's mandate does not extend to protecting consumers from excessive losses in the stock market. The FDIC focuses on safeguarding depositors' funds in insured banks and thrift institutions, providing insurance coverage up to a certain limit per depositor, per insured institution.

While the FDIC plays a crucial role in protecting depositors and ensuring financial stability, it does not have a direct role in protecting consumers from losses in the stock market. Investors participating in the stock market face inherent risks, and consumer protection in the stock market falls under the purview of other regulatory bodies like the Securities and Exchange Commission (SEC).

To know more about consumer,visit:
https://brainly.com/question/27773546
#SPJ11

The optimal price for a good is determined to be $8. The elasticity of demand for the good is -4. Therefore, the marginal cost to make the good must be: Enter as a value ($). 6

Answers

The formula for elasticity of demand is the percentage change in quantity demanded of a product divided by the percentage change in the product's price. Given the price elasticity of demand and the optimal price of a good, we can determine the marginal cost to make the good.

As per the information provided in the question, the optimal price of a good is $8 and the elasticity of demand for the good is -4. To find the marginal cost of the good, we can use the following formula:Elasticity of demand = percentage change in quantity demanded ÷ percentage change in price-4 = ΔQ ÷ ΔPwhere ΔQ represents the percentage change in quantity demanded and ΔP represents the percentage change in price.Substituting the given values, we get:-4 = ΔQ / ΔPAt the optimal price of $8, we know that the demand for the good is at its highest. Therefore, the percentage change in quantity demanded is 0.Using this value in the equation, we can solve for the percentage change in price:-4 = 0 / ΔPΔP = 0Thus, the marginal cost to make the good must be the optimal price of the good, which is $8. Therefore, the answer is 8.

To know more about marginal cost visit:

https://brainly.com/question/32561563

#SPJ11

Earl obtained a loan for 20000 dollars. He will pay it back in 21 months with an interest rate of 9 yearly compunded monthly. Each payment will be $500 larger than the previous payment. Calculate the amount of the last payment.

Answers

The amount of the last payment will be $29,060.49. Let x be the amount of Earl's first payment, and y be the amount of the last payment.

In this problem, we know that Earl obtained a loan for $20,000, which he will pay back in 21 months with an interest rate of 9 yearly compounded monthly. We also know that each payment will be $500 larger than the previous payment. Thus, we can use the formula for the present value of an annuity due to calculate the first payment:

PV = (PMT/i) x (1 - (1+i)^-n)where PV is the present value, PMT is the payment amount, i is the interest rate per period, and n is the total number of periods.

In this case, we can use the following values:

PV = $20,000 (since that is the amount Earl borrowed)

i = 9%/12 (since the interest rate is 9% yearly compounded monthly)

n = 21 (since he will make payments for 21 months)Solving for PMT, we get:

PMT = (PV x i) / (1 - (1+i)^-n)

PMT = ($20,000 x 0.0075) / (1 - (1+0.0075)^-21)

PMT ≈ $1,021.27

Since we know that each payment will be $500 larger than the previous payment, we can use this formula to find the last payment:

y = x + ($500 x 20)where x is the first payment.

To find x, we can use the PMT we calculated above, and the same formula for the present value of an annuity due:

PMT = (x/i) x (1 - (1+i)^-n)

Solving for x, we get:

x = (PMT/i) x (1 - (1+i)^-n)x = ($1,021.27/0.0075) x (1 - (1+0.0075)^-21)x ≈ $19,060.49

Now we can use the formula for y:y = $19,060.49 + ($500 x 20)y = $29,060.49

For more about payment:

https://brainly.com/question/32320091


#SPJ11

What are the key points appropriate for external audiences in
the automotive industry?

Answers

The key points appropriate for external audiences in the automotive industry are :- Vehicle Features and Performance , Innovation and Technology , Sustainability and Environmental Responsibility , Safety and Reliability , Customer Satisfaction and Reviews , Corporate Social Responsibility , Competitive Advantage , Future Plans and Roadmap ,

Pricing and Financing Options, Availability and Distribution Channels.

When communicating with external audiences in the automotive industry, it's important to focus on key points that are relevant and appealing to them. Here are some key points that can be appropriate for external audiences in the automotive industry:

Vehicle Features and Performance: Highlight the key features and performance capabilities of your vehicles. This can include aspects such as fuel efficiency, safety features, advanced technology, comfort, and design. Emphasize how your vehicles can meet the needs and preferences of potential customers.

Innovation and Technology: Discuss the cutting-edge technologies and innovations incorporated in your vehicles. This can include advancements in electric or autonomous vehicles, connectivity features, infotainment systems, and other technological advancements that enhance the driving experience.

Sustainability and Environmental Responsibility: Highlight your company's commitment to sustainability and reducing the environmental impact of vehicles. Discuss efforts in developing electric or hybrid vehicles, improvements in fuel efficiency, recycling initiatives, and other environmentally friendly practices.

Safety and Reliability: Emphasize the safety standards and measures taken in the design and manufacturing of your vehicles. Highlight any safety awards or ratings received, advanced driver-assistance systems, collision avoidance features, and reliability statistics. Assure potential customers that your vehicles are built with their safety in mind.

Customer Satisfaction and Reviews: Share positive customer feedback and reviews to build trust and demonstrate the satisfaction of your existing customers. Highlight any awards or recognition your vehicles have received from reputable sources or organizations.

Corporate Social Responsibility: Discuss your company's involvement in community initiatives, philanthropy, and social responsibility programs. This can include partnerships with non-profit organizations, educational initiatives, or efforts to support local communities.

Competitive Advantage: Differentiate your brand and vehicles from competitors by highlighting unique selling points, such as exceptional performance, superior quality, industry-leading technology, or outstanding customer service.

Future Plans and Roadmap: Provide insights into your company's future plans, including upcoming vehicle models, technology advancements, and strategic partnerships. This can generate excitement and anticipation among potential customers.

Pricing and Financing Options: Provide transparent information about pricing and financing options available for your vehicles. Highlight any special offers, promotions, or financing plans that can make your vehicles more accessible to a wider audience.

Availability and Distribution Channels: Communicate where and how your vehicles can be purchased or leased, including dealership locations, online platforms, or other distribution channels. Provide information on test drive opportunities or events where potential customers can experience your vehicles firsthand.

Remember, it's essential to tailor your communication to the specific needs and interests of your target audience. This can be done through various channels such as press releases, marketing materials, social media, and direct engagement with customers.

For such more questions on Key Automotive Points

https://brainly.com/question/28115684

#SPJ8

Assume the jobs arrived in numeric order of the job name and no other jobs arrive in the next 190 minutes. In what order would the jobs be processed according to the shortest processing time rule?
5, 4, 3, 2, 1
1, 2, 3, 4, 5
4, 2, 3, 1, 5
5, 1, 3, 2, 4

Answers

According to the shortest processing time rule, the jobs would be processed in ascending order of their processing times. Since the question does not provide information about the processing times of the jobs, we cannot determine the specific order of processing based on that criterion alone.

The options provided are:

1) 5, 4, 3, 2, 1

2) 1, 2, 3, 4, 5

3) 4, 2, 3, 1, 5

4) 5, 1, 3, 2, 4

Without additional information regarding the processing times, we cannot determine the correct order among these options based solely on the shortest processing time rule. The processing time for each job is necessary to make a definitive determination.

To learn more about Ascending order - brainly.com/question/30325384

#SPJ11

An employee performs a service for a fee and does not work under the control and direction of the company paying for the service.

True

False

Answers

Independent contractors are typically not entitled to the same benefits and protections as employees. Answer: False

An employee performs a service for a fee and does not work under the control and direction of the company paying for the service is not an accurate statement. It is a False statement.

An employee who performs a service for a fee does work under the control and direction of the company paying for the service. What is an Employee? An employee is an individual who is hired by an employer to provide services and is paid a salary or wage in return.

An employee is often described as an individual who works under the control and direction of the employer and is subject to the employer's rules and regulations. Employees are typically entitled to a range of benefits and protections, including minimum wage laws, workers' compensation insurance, and unemployment benefits. What is an Independent Contractor? An independent contractor is an individual who provides services to a company or individual for a fee.

An independent contractor is often described as an individual who works independently and is not under the control or direction of the person or company paying for the service.

To know more about employees visit:

https://brainly.com/question/18633637

#SPJ11

When fixed costs are $90,000 and variable costs are 70% of the selling price, then breakeven sales are: _____________

A. $128,571
B. $117,000
C. $300,000
D. $153,000

Answers

When fixed costs are $90,000 and variable costs are 70% of the selling price, then breakeven sales are: $300,000. The correct answer is option (C)

To calculate the breakeven sales, we need to determine the sales revenue at which the company's total revenue equals its total costs, resulting in zero profit. Given the following information:

Fixed costs = $90,000

Variable costs as a percentage of selling price = 70%

The contribution margin is calculated as (100% - variable costs as a percentage of selling price). In this case, the contribution margin is 30% (100% - 70%).

The breakeven point in sales can be calculated using the formula:

Breakeven sales = Fixed costs / Contribution margin

Let's calculate the breakeven sales:

Breakeven sales = $90,000 / 0.30

Breakeven sales = $300,000

Therefore, the breakeven sales are $300,000. The correct answer is option (C) $300,000.

To know more about variable costs click here

brainly.com/question/14560343

#SPJ11

an analyst is designing a dashboard. in order for it to be effective, they make sure that the charts, graphs, and other visual elements are balanced. what else should they do to make the dashboard design cohesive?

Answers

There are other ways also to make your dashboard more cohesive and attractive.

Many organization and companies use dashboard today. Its a great tool to display data in visual format. But what does it takes to make a great dashboard. when a dashboard is interesting and user-friendly, everyone enjoys using it. Tableau,  Congas Analytics, and python are great tools to a make a good dashboard.

Other than using charts, graphics, and visual elements here are some things to keep in mind to make a good dashboard:-

BoldItalicsUnderlineKeep it short and simple long paragraphs can deter a using a dashboard.Add colors, good use of colors means good dashboard.

Hence, if all these things are kept in mind you can design a great dashboard.

To know more about Dashboards:

https://brainly.com/question/31365660

#SPJ12

Final answer:

To make a dashboard design cohesive, an analyst should follow a logical structure, maintain visual consistency, prioritize important data, provide interactivity, and conduct usability testing.

Explanation:

In order for a dashboard design to be cohesive, an analyst should ensure that the design follows a logical structure, where data visualization elements flow in a manner that supports understanding of the data. This can involve grouping related pieces of information together, and maintaining consistency in colors, fonts, and styles. An analyst should also prioritize the most important data, allowing it to take center stage on the dashboard. Another crucial element is ensuring interactivity in the dashboard, where users can drill down or filter the data to suit their needs. Finally, the analyst should also conduct usability testing to ensure the dashboard is user-friendly.

In order to make the dashboard design cohesive, the analyst should consider the following:

Consistency: Use a consistent color scheme, font style, and layout throughout the dashboard.

Hierarchy: Arrange the visual elements in a logical order, with the most important information highlighted prominently.

Simplicity: Keep the design clean and uncluttered, avoiding excessive use of graphics or unnecessary information.

Learn more about Dashboard Design here:

https://brainly.com/question/32146725

#SPJ12

How a mixed method of research could help with wedding planning industry to create a marketing program?

Answers

By combining qualitative and quantitative research methods, a mixed method approach could help the wedding planning industry create a more targeted and effective marketing program.

A mixed method of research, combining qualitative and quantitative approaches, can be highly valuable for the wedding planning industry when creating a marketing program.

Qualitative research methods, such as interviews or focus groups, can provide in-depth insights into the needs, preferences, and expectations of couples planning their weddings. This qualitative data can uncover underlying motivations, emotions, and specific pain points that couples experience during the wedding planning process.

On the other hand, quantitative research methods, such as surveys or data analysis, can provide numerical data and statistical insights into broader trends, market segments, and customer preferences. This quantitative data can help identify key demographics, market sizes, spending patterns, and preferences related to wedding planning.

By combining both qualitative and quantitative research methods, wedding planning businesses can gain a comprehensive understanding of their target market.

Qualitative research can generate rich, nuanced insights into couples' experiences, desires, and pain points, allowing for the development of tailored marketing strategies that resonate with their emotions and needs.

Quantitative research, on the other hand, can provide data-driven insights into the broader market landscape, allowing for effective segmentation and targeting of specific market segments.

The mixed method approach enables businesses in the wedding planning industry to create a more well-rounded marketing program. It allows them to make informed decisions, develop targeted messages, and allocate resources effectively.

By leveraging qualitative and quantitative research together, businesses can optimize their marketing efforts, increase customer satisfaction, and ultimately attract and retain more clients in the highly competitive wedding planning industry.

For more question on quantitative visit:

https://brainly.com/question/28196221

#SPJ8

Other Questions
given a circle in the complex plane with a diameter that has endpoints at:-12 i and 18 15ifind the center of the circle.3 7ifind the radius of the circle.17 units A C-130 is 40,000 kg cargo/transport plane. To land, it has a minimum landing speed of 35 m/s and requires 430 m of stopping distance. A plan is put forward to use the C-130 as an emergency rescue plane, but doing so requires the stopping distance be reduced to 110 m. To achieve this distance, 30 rockets are attached to the front of the plane and fired immediately as the wheels touch the ground. Determine the impulse provided by a single rocket to reduce the stopping distance from 430 m to 110 m. You may assume a friction factor of 0.4 and that friction is the sole source of the deceleration over the stopping distance. Bailey Buyer purchases a screwdriver for $2 from Sid's Hardware Store. He lends the screwdriver to his neighbor, Dan Dimwit, who uses the screwdriver as a chisel to break up a piece of crumbling cement in his backyard in order to rebuild it. While Dan is hammering at the screwdriver with a sledgehammer, it breaks and a piece of the handle flies into his eye, causing him a minor eye injury. Explain which warranties attach to this sale to Bailey and whether they also extend to Dan. Discuss the elements of any warranty claim and Dan's chances of winning a suit against Sid's Hardware Store for breach of warranty. Be sure to discuss whether the hardware store has any defense. Explain fully for full credit. explain houses concept of charisma and identify five types of behaviors exhibited by charismatic leaders. At least one of the answers above is NOT correct. Find the dimensions of the following linear spaces. (a) P7 6 (b) R3x2 2 (c) The real linear space C5 5 using an icd-10-cm code book, identify the main term for the following diagnosis: lipoma on the chest Laurel Enterprises expects earnings next year of $3.81 per share and has a 30% retention rate, which it plans to keep constant. Its equity cost of capital is 11%, which is also its expected retum on new investment. Its earnings are expected to grow forever at a rate of 3.3% per year. If its next dividend is due in one year, what do you estimate the firm's current stock price to be? The current stock price will be $ Consider the following data:Monthly Profit of a GymMonthJan-12Feb-12Mar-12Apr-12May-12Jun-12Jul-12Aug-12Sep-12Profit ($)5,5505,3034,9444,5975,1405,5186,2196,1435,880Step 2 of 5 :What are the MAD, MSE and MAPE scores for the three-period moving average? Round any intermediate calculations, if necessary, to no less than six decimal places, and round your final answer to one decimal place. a certain digital camera having a lens with focal length 7.50 cm focuses on an object 1.85 m tall that is 4.30 m from the lens. Is the image on the photocells erect or inverted? Real or virtual?Is the image on the photocells erect or inverted? Real or virtual?The image is erect and real.The image is inverted and real.The image is erect and virtual.The image is inverted and virtual. Given the function f(x, y) =-3x+4y on the convex region defined by R= {(x,y): 5x +2y < 40,2x + 6y < 42, x > 0, y>0} (a) Enter the maximum value of the function 38 (6) Enter the coordinates (x,y) of a point in R where f(x, y) has that maximum value. What are the steps involved in modifying the default password policy in Oracle? Hearing begins to decline around age 50, with about 30% of all people over _____ experiencing significant hearing loss. identify the element that has a ground state electron configuration of [Ar]4s^2 3d^10 4p^1 .a. Alb. Inc. Gad. B Show that the curve x3 + 3xy + y2 = 0 has two stationary points. (b) Find the gradient of the curve y = f(x) defined parametrically by x = 2t and y = 3t2 - 4t +1 at the point (4,5). If the production function features increasing returns to scale producing a higher quantity(a) reduces the variable cost of production(b) reduces the fixed cost of production(c) reduces the average cost of production(d) All answers are correct use the law of exponents to simplify the following expression The Police Department (PD) would like to know whether forgiving a first-time offender for a drug related crime might actually reduce the likelihood they commit crime in the future. Consider the crime of possession of a small quantity of marijuana committed by a minor (an individuals aged less than 18 years of age). Assume that the law states that if a minor is caught with 5 grams of marijuana for the first time, they only get a warning. If the quantity is higher than 5 grams, the minor gets charged and convicted of a serious crime. Adults (age 18 or more) get arrested and convicted regardless of the quantity of marijuana they are caught carrying.You are hired as a consultant to help the PD to answer the question whether forgiving a first- time offender for a drug related crime might actually reduce the likelihood they commit crime in the future. The PD holds administrative records of the universe of warnings, offenses, as well as the individuals gender, age, and address.In answering questions below, note that general statements about econometric methods will yield no marks. Adapt and assume the necessary assumptions to this particular setting and use equations and or graphs to support your argument. If using graphs, make sure that the axes are labelled correctly.(i) Discuss the endogeneity problem in studying the above problem(ii) What econometric method would be suitable for you to use in this setting to answer the question of interest to the PD?(iii) Describe in detail the method in (ii) applied to this setting. What are the identifying assumptions of the method in (ii)?(iv) How can the identifying assumptions be tested? Which graphs would be useful in supporting your arguments? calculate the frequency of light associated with the transition from n=2 to n=3 Which of the following statements about carcinogens is false?a. It is assumed that one can extrapolate from doses and cancer rates in rats to determine human cancer rates.b. Rats and mice often respond differently to the same toxicant.c. The body often handles very small doses of carcinogens the same way as large doses.d. Children and pregnant women may tolerate carcinogens differently than a healthy young male.e. Cancer was traditionally the only disease evaluated in the chemical risk assessment of environmental contaminants. For a general linear model Y = XB+e, where e has the N(0,o1) distribution, X is of full ra the least squares estimator of Bis b =(X'X)"X'Y and the vector for the fitted values = X. Derive E(e) and Var (). = e) (2) For a general linear model Y = XB+e, wheree has the N(0,o1) distribution, X is of full rank, the least squares estimator of Bis b = (X'X) 'X'Y and the vector for the fitted values is = X. Derive Ele) and Var ()