Which of the following is the correct definition for free cash flows to the firm?

Answers

Answer 1

The correct definition for free cash flows to the firm is D. EBITX (1-Tax) + Depreciation - Changes in working capital - Capital Expenditure.

What is free cash flow?

Free cash flow (FCF) is the cash a company has after all the cash outflows for its operations and capital assets maintenance.

This implies that free cash flow is the available cash that a company has after making payments for its operating expenses and capital expenditures (Capital Expenditure).

A. EBITDAX (1-Tax) + Depreciation - Changes in working capital + Capital Expenditure

B. EBITDAX (1-Tax) - Depreciation - Changes in working capital - Capital Expenditure

C. EBITX (1-Tax) - Depreciation - Changes in working capital + Capital Expenditure

D. EBITX (1-Tax) + Depreciation - Changes in working capital - Capital Expenditure

Thus, the correct definition for free cash flows to the firm is Option D.

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Related Questions

On June 1, 2020, Sandhill Company sells $196,000 of shelving units to a local retailer, ShopBarb, which is planning to expand its stores
in the area. Under the agreement, ShopBarb asks Sandhill to retain the shelving units at its factory until the new stores are ready fo
installation. Title passes to ShopBarb at the time the agreement is signed. The shelving units are delivered to the stores on September
1, 2020, and ShopBarb pays in full. Prepare the journal entries for this bill-and-hold arrangement (assuming that conditions for
recognizing the sale as a bill-and-hold sale have been met) for Sandhill on June 1 and September 1, 2020. The cost of the shelving units
to Sandhill is $109,000.

Answers

The journal entries for this bill-and-hold arrangement for Sandhill Company on June 1 and September 1, 2020, are as follows:

June 1, 2020:

Debit Cash $196,000

Credit Sales Revenue $196,000

September 1, 2020: No journal entry is required

Debit Cost of goods sold $109,000

Credit Inventory $109,000

What is a bill-and-hold arrangement?

A bill-and-hold arrangement is a revenue recognition method that records revenue before the delivery of goods to the customer.

Transaction Analysis:

June 1, 2020: Cash $196,000 Sales Revenue $196,000

September 1, 2020:

Cost of goods sold $109,000 Inventory $109,000

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Proposal Research for digital planners

Answers

Answer:

Digital media planners are responsible for developing and executing digital media strategies. This typically includes negotiating and acquiring advertising space across digital media platforms; monitoring, optimizing, and reporting on campaign performance; managing budgets, and liaising with clients.

Oza has established several successful products in the competitive beverage industry. Why has he been able to achieve this success when large organizations with more resources, such as Coca Cola and Pepsi, are forced to buy these new successful brands?

Answers

Oza has shown a propensity to zig when category heavyweight Gatorade zags over its seven years at Glaceau/Vitaminwater, during which time it has built the dominant brand in the enhanced water industry. Further capitalizing on the growing demand for "functional drinks" among modern consumers. This is further explained below.

What is  beverage industry?

Generally, The production of beverages and ready-to-drink items constitutes the beverage business (or drink industry).

In conclusion, Oza, during its seven years at Glaceau/Vitaminwater, established itself as the market leader in the enhanced water business by consistently bucking the trends set by category heavyweight Gatorade. Tapping into the expanding market for "functional beverages" among today's customers.

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______ is the result of low-cost producers focusing all their efforts on producing a single good or service. (Use one word for the blank.)

Answers

Specialization is the result of low-cost producers focusing all their efforts on producing a single good or service. This is further explained below.

What is Specialization ?

Generally, the process of focusing on and developing expertise in a specific topic or ability.

In conclusion, Low-cost manufacturers specialize when they concentrate all of their efforts on providing a particular commodity or service.

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What are the consequences for overs and unders in your store

Answers

Answer:

it may lead to scarcity of customers

1. As a manager at Starbucks, Sarah Brynski hires, schedules, and oversees employees. She must also make sure each is paid the correct amount. Occasionally, she authorizes overtime when a scheduled employee does not show up. However, she tries to use as little overtime as possible to help control costs. A tire installer at the Tire Center is paid $10.50 per hour for an 8-hour day or $3.20 per tire installed, whichever is higher. Find the weekly earnings for an employee having the following rate of production. Monday 32 tires Tuesday 24 tires Wednesday 34 tires Thursday 22 tires Friday 33 tires

Answers

The weekly earnings of this employee would be $358 per tire installed and $420 per total weekly hour per spent.

Solution

To get the total weekly earnings per tire installed, we simply employ multiplication. That is, we multiply, $3.20 * per tire installed daily and then sum up the total for the 5 days work period.

Monday: 32 * $3.2 = $102.4Tuesday: 24 * $3.2 = $76.4Wednesday: 34 * $3.2 = $108.8Thursday: * $3.2 = $70.4Friday: 33 * $3.2 = $105.6

Total: $358

Meanwhile, we get the total weekly earnings using the "per hour for an 8-hour day" calculation by multiplying by 5 days.

8 *5 = 40

40 hours per week * $10.50 per hour = $420

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NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. Step 2 of 2 : Suppose a sample of 502 people is drawn. Of these people, 140 passed out. Using the data, construct the 85% confidence interval for the population proportion of people who black out at G forces greater than 6. Round your answers to three decimal places.

Answers

The confidence interval is given as 0.250 and 0.308

How to solve for the confidence interval?

n = 502

x = 140

x/ n = proportion

= 140/502

= 0.2789

To find the proportion using 85%

1-0.85 = 0.15

0.15/2 = 0.075

Find the z value to be 1.44

[tex]p +- z*\sqrt{p'(1-p')/n\\}\\ = 0.279 +-1.44\sqrt{0.279(1-0.279)/502}[/tex]

= 0.279 +- 0.029

= 0.250, 0.308

Hence the confidence interval is 0.250, 0.308.

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The Tucker family has health insurance coverage that pays 80 percent of out-of-hospital expenses after a deductible of $1,000 per person. If one family member has doctor and prescription medication expenses of $2,200, what amount would the insurance company pay?

Answers

The amount that the insurance company will pay is $960.

What is insurance?

.It should be noted that insurance simply means a way that's used to manage risk.

The amount after deduction will be:

= $2200 - $1000

= $1200

The amount that the company will pay:

= 80% × $1200

= $960

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Too little of a good or service is produced when there is a

Answers

Market equilibrium
..

the idea of setting timers for work intervals followed by short breaks is called what​

Answers

Answer:

The Pomodoro Technique

Explanation:

The Pomodoro Technique is a time management system that encourages people to work with the time they have—rather than against it. Using this method, you break your workday into 25-minute chunks separated by five-minute breaks. These intervals are referred to as pomodoros.

6) If the owner contributes $44,900 and the owner withdraws $4,200, how much is net income (loss)?

Answers

Based on the amount the owner contributed and then withdrew, the net income (loss) is -$12,300.

What is the net income (loss)?

First, find the value of ending equity:

= Ending assets - liabilities

= 62,000 - 28,000

= $34,000

Then find beginning equity:

= 25,000 - 19,000

= $6,000

The net income(loss) is:

= Equity - Owner's contribution + Withdrawals - Beginning equity

= 34,000 - 44,500 + 4,200 - 6,000

= -$12,300

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Which of the following is an example of a human resource?
a.) Indoor and outdoor furniture available for customers to enjoy the
O
atmosphere
b.) The manager of Tarheel Coffee, who oversees the day-to-day operations
O
Oc.) Cash used to pay monthly operating expenses at each location
d.) An idea for a new summer drink that will be unique to Tarheel Coffee's
O
menu

Answers

The answer to your question is b

Dorian owns a farm and sells potatoes to local restaurants and grocery stores. Which phrase describes this information about Dorian's business?

Supplier in the factor market
Supplier in the financial market
Consumer in the product market
Consumer in the factor market

Answers

The phrase that describes Dorian's business is she is a supplier in the factor market.(Option 1)

What is a factor market?

A factor market is a market where the factors of production that are needed in the production of final goods and services are bought and sold. The potatoes sold by Dorian represents a factor of production because they are input for the restaurants.

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Which of the following is NOT TRUE about life insurance applications? A The application may contain all the information that underwriting needs to approve the insured B The application is confidential communication between the producer and the insurer C Applications for life insurance are typically divided into two parts: General Information and Health History D The application more fully identifies the insured

Answers

Answer:

A

Explanation:

The application may contain all the information that underwriting needs to approve the insured

The form used by employers to show how much an employee earned that year and all taxes paid is a _______.

A.
W-2

B.
1099

C.
W-4

D.
1040

Answers

The form used by employers to show how much an employee earned that year and all taxes paid is a W-2.

Therefore option A is correct.

What is a W-2?

Form W-2, also known as the Wage and Tax Statement, is the document an employer is required to send to each employee and the Internal Revenue Service (IRS) at the end of the year.

A W-2 reports employees' annual wages and the amount of taxes withheld from their paychecks

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How is the annual percentage yield (APY) calculated?

Answers

Annual percentage yield (APY) refers to the rate of return. It does this via way of means of stating the actual percent of increase on the way to be earned in compound interest assuming that the money is deposited for one year.

What is the formula for Annual percentage yield (APY)?

Annual percentage yield (APY) is calculated by the usage of this formula

APY= (1 + r/n )n – 1,

Here, “r” is the said annual interest rate, and “n” is the variety of compounding intervals every year.

APY is referred to as the effective annual rate or EAR.

Therefore, Annual percentage yield (APY) refers to the rate of return. It does this via way of means of stating the actual percent of increase on the way to be earned in compound interest assuming that the money is deposited for one year.

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Who is authorized to inspect a scaffold?

Answers

Answer:

Competent person

Explanation:

OSHA requires the general contractor in section 1926.451(f)(3) to have scaffolds and scaffold components inspected for visible defects by a competent person prior to each work shift and after any occurrence which could affect a scaffold's structural integrity.

Answer:OSHA

According to 2 sources

Posted on June 29, 2017 by Trekker Group As you know, OSHA requires that a competent person inspect all scaffolds before each shift when it will be used and after any circumstances or events that could potentially affect their integrity.

what are two signifcant reasons why a particular objective or target my not ba attained as planned?

Answers

There are many reasons why a target is not achieved as they are planned:

Flexibility is hindered by plans.Ideas are stifled by plans.Planning averts action.

What is Planning?

Idea organization into doable actions is the process of planning. Strategic planning, tactical planning, operational planning, and contingency planning are the four main subcategories of planning. An organization's aims and objectives are determined through the process of strategic planning.

Thus, An organization's aims and objectives are determined through the process of strategic planning. But sometimes planning creates an obstacle while achieving the target because planning averts the action, and planning makes the process rigid.

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Great Eastern Credit Union (GECU) has two operating departments (Branches and Electronic) and three service departments (Processing, Administration, and Maintenance). During July, the following costs and service department usage ratios were recorded.



Supplying Department Using Department
Processing Administration Maintenance Branches Electronic
Processing 0 50 % 0 10 % 40 %
Administration 0 0 0 60 % 40 %
Maintenance 10 % 20 % 0 20 % 50 %
Direct cost $ 86,000 $ 550,000 $ 321,000 $ 4,600,000 $ 2,300,000


The cost accountant at Great Eastern Credit Union estimates that the cost structures in its departments are as follows.



Processing Administration Maintenance Branches Electronic
Variable costs $ 65,000 $ 157,000 $ 131,000 $ 1,550,000 $ 1,450,000
Fixed costs 21,000 393,000 190,000 3,050,000 850,000
Total costs $ 86,000 $ 550,000 $ 321,000 $ 4,600,000 $ 2,300,000
Avoidable fixed costs $ 6,000 $ 279,000 $ 78,000 $ 650,000 $ 690,000


Required:

a. If GECU outsources the Processing Department, what is the maximum it can pay an outside vendor without increasing total costs?

b. If GECU outsources the Administration Department, what is the maximum it can pay an outside vendor without increasing total costs?

c. If GECU outsources the Maintenance Department, what is the maximum it can pay an outside vendor without increasing total costs?

Answers

a. If GECU outsources the Processing Department, the maximum it can pay an outside vendor without increasing total costs is $56,400.

b. If GECU outsources the Administration Department, the maximum it can pay an outside vendor without increasing total costs is $513,300.

c. If GECU outsources the Maintenance Department, the maximum it can pay an outside vendor without increasing total costs is $146,300.

What is the maximum amount to pay an outside vendor without increasing total costs?

The maximum amount that a company can pay an outside vendor without increasing total costs is equal to the avoidable costs (variable and fixed).

The unavoidable fixed costs cannot be outsourced; therefore, it is irrelevant in decision-making.

Data and Calculations:

Supplying Department               Using Department

                Processing  Administration  Maintenance  Branches  Electronic

Processing           0                50 %                0                 10 %             40 %

Administration     0                  0                    0                 60 %            40 %

Maintenance      10 %            20 %                0                 20 %            50 %

Direct cost    $86,000     $550,000     $321,000   $4,600,000  $2,300,000

Cost Structures:

                Processing  Administration  Maintenance  Branches   Electronic

Variable

costs             $65,000   $157,000      $131,000     $1,550,000  $1,450,000

Fixed costs       21,000    393,000       190,000       3,050,000      850,000

Total costs    $86,000  $550,000     $321,000    $4,600,000 $2,300,000

Avoidable

fixed costs    $ 6,000 $ 279,000     $ 78,000       $ 650,000  $ 690,000

Avoidable

costs             $71,000  $436,000   $209,000     $2,200,000 $2,140,000

Processing

cost              (35,500)      35,500

Maintenance 20,900        41,800      (62,700)

Amount to pay an outside

vendor       $56,400   $513,300     $146,300

Thus, Great Eastern Credit Union cannot outsource the unavoidable fixed costs of its service departments.

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Hat Tricks Company (HTC) is a Buffalo, New York, manufacturer of hats and gloves. Recently, the company purchased a new machine to aid in producing the hat product lines. Production efficiency on the new machine increases with the workforce experience. It has been shown that as cumulative output on the new machine increases, average labor time per unit decreases up to the production of at least 3,200 units. As HTC’s cumulative output doubles from a base of 100 units produced, the cumulative average labor time per unit declines by a learning rate of 80%.



HTC has developed a new style of men’s hat to be produced on the new machine. One hundred of these hats can be produced in a total of 20 labor hours. All other direct costs to produce each hat are $19 per hat, excluding direct labor cost. Direct labor cost per hour is $60. Fixed costs are $8,000 per month, and HTC has the capacity to produce 3,200 hats per month.

Answers

The selling price per hat is mathematically given as

S=$62

What is the selling price per hat?

Direct labor hours required to produce first 100 hats=10hr

Direct labour cost =20hr*60$/hour = $1200

Other Direct cost =100hats*19$/hat = $1900

Total Direct cost. = $3100

Selling price is 200% of Direct production cost

$3100*200% = $6200

The selling price per hat = $6200 / 100hats

The selling price per hat = $62

In conclusion, The selling price per hat = $62

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explain 5 advantages of transport to the business​

Answers

Answer:

Explanation:

Efficient Transport. Your firm may be losing money and resources by sticking with an outdated shipping model.

Increased Customer Satisfaction.

Opportunity For Innovation.

Information On Technology Updates.

Industry-Specific Expertise.

I. David Williams (David) is the long-serving Chief Executive Officer (CEO) of Advanced Disposal Services Inc, a US listed company. He had a meeting with the newly-appointed chairman of the company, Peter Thomson (Peter), who happens to be married to David’s sister. A number of different items were on the agenda for discussion. David said that he had recently had a meeting with two institutional shareholders in the company, who together held 7% of the equity share. He had discussed the company’s performance over the past few months and they had been pleased by the profit forecasts that he had given them. The company’s results would be announced to the stock market within the next three weeks. He had also discussed the company’s main business strategies with these shareholders and had informed them that he intended to establish a strategy committee within the company, consisting of the executives. They then went on to discuss the retirement and re-election of board of directors at the Assistant General Manager. David said there was a problem with one of the directors, who would be retiring by rotation this year, who had been an independent non-executive director for almost of the board. He was considered to be too valuable to lose from the board, but there was now a problem with his independent status. David felt that he was still as an independent now as he was when he first joined the board. David also informed Peter that he had arranged for additional training for two board directors: the marketing director and one of the non-executive directors.
(a) Evaluate the apparent weaknesses in the corporate governance practices of Advanced Disposal Services Inc. For each weakness that you suggest what the appropriate practice of governance should be.
(b) Explain the problem facing the Advanced Disposal Services Inc regarding the long-serving non-executive director, and suggest the company should do resolve it.

Answers

The apparent weaknesses in the corporate governance practices of Advanced Disposal Services Inc. is the lack of a clear company policy regarding the tenure of company directors.

What is the problem facing Advanced Disposal Services Inc?

They have a problem with their long-serving non-executive director and they are at a loss on what to do because they do not have a clear company policy regarding how long a member of the board should serve.

Hence, we can see that the solution to this would be to draft a company policy that is easily understood and can be enforced and add a time limit for serving board members.

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lanier company manufactures expensive watch cases sold as souvenirs. three of itssales departments are retail sales, wh

Answers

Mary Gammel's responsibility in the firm is to monitor the results of profit center because it is the key driver of the total results of the company.

What is Mary Gammel position?

She is a manager in the retail sales department which is a profit center in the firm because it is saddles with role of supervising the team of sales representatives who works with customers.

Hence, Mary Gammel's role is to monitor the results of profit center because it is the key driver of the total results of the company.

Missing words "Mary Gammel is a manager in the Retail Sales Department. Determine what should be included in the responsibility report of the manager"

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assume you decide to start a business and you quit your job that was paying you $60,000 a year. you pay $36,000 to the landlord

Answers

The implicit cost is  $61,000.

What is the implicit cost?

Implicit cost is the cost of the next best option forgone when one alternative is chosen over other alternatives.

When you decide to start the business, you forgo the amount you earned from your job and the interest you were earning.

$60,000 + 1,000  = $61,000

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Decision Point: Julia's Power Tactic

"That's the worst idea I've heard today," Julia scoffs. "You can't even run this company in this old warehouse without me, much less take the group over to the fancy new complex and grow it big. Do you even know what I do here?"

You have to admit to yourself that you've become removed from day-to-day operations and do not know how to do what she does, but her anger is making you angry, too, so you choose to stay silent.

She concludes, "I am not going to compete for a title and risk becoming just a director. Just ask the others; they'll hate this idea, too. I'll leave!"

Which power tactic is Julia employing?

1. Pressure
2. Rational persuasion
3. Inspirational appeal
4. Consultation

Answers

Option 1. The power tactic that Julia is trying to employ here is what is called Pressure.

What is a power tactic?

This is the tactic that people would employ in order to show potential power or give off a certain perception of power.

This is what is being used here. The type that she is using is what is called Pressure.

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Low-risk investments tend to generate what kind of investment income and wealth?

a) Low amounts
b) Low and volatile amounts
c) High amounts
d) Stable amounts

For this question I chose: a) low amounts

Answers

Low-risk investments typically produce low levels of investment income and wealth. Option a is correct.

What is understood by Low-risk investments?

Low risk investments are that type of investment that are harmless by explanation than their opposite number. Low-risk investments typically generate little investment income and wealth.

Stocks are less dangerous than derivatives. The right to purchase or exchange an asset on a limited date for a planned price at the contract date.

Therefore, option a is correct.

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Vaughn Manufacturing had the following accounts and balances: Accounts payable $28800 Equipment $35600 Accounts receivable 5300 Land 34400 Buildings 98500 Unearned service revenue 10400 Cash 15350 Total stockholders' equity ? If the equipment was sold for $35600, what would be the total of stockholders' equity? $64400 $139550 $90650 $149950

Answers

Based on the value of the various accounts of Vaughn Manufacturing, the total stockholders' equity would be D. $149,950

What is the total stockholders' equity?

First find the total assets:
= Equipment + Land + Building + Accounts receivable + Cash

= 35,600 + 34,400 + 98,500 + 5,300 + 15,350

= $189,150

Liabilities would be:
= Accounts payable + Unearned service revenue

= 28,800 + 10,400

= $39,200

Equity is:

= 189,150 - 39,200

= $149,950

Note: The sale of equipment would not affect total asset value as cash would increase when equipment decreases.

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what attributes are in a good landing experience

Answers

Answer:

Relevant and original content, Easy to navigate, Transparent about the client's business are the attributes that describe a good landing page experience. A good landing page experience means that users can quickly find the necessary information, and the provided materials are useful.

Explanation:

Use the following chart to explain how the loan repayment period affects the total cost of the loan.
Loan Repayment Period
Principal
Interest Rate
Loan 1
$5,000
6.47 percent
$98
Monthly Payment
Loan Repayment Period 5 years
Total cost of the loan $5,866
Loan 2
$5,000
6.47 percent
$57
10 years
$6,804

Answers

Loan 1 and Loan 2 have the same principal and interest rate but different monthly payments and total loan costs, therefore, the loan repayment periods would be different.

What is the loan repayment period?

The loan repayment period refers to the time it takes to repay a loan.

When the amount being repaid is smaller, the loan repayment period tends to be longer, and vice versa.

Data and Calculations:

           Loan Repayment   Principal    Interest Rate    Monthly     Total cost

             Period                                                              Payment    of the loan

Loan 1    5 years                  $5,000    6.47 percent       $98         $5,866

Loan 2  10 years                 $5,000     6.47 percent       $57         $6,804

Thus, the loan repayment periods are affected by the monthly payments and total costs to reflect the loan terms.

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Given
Principal = $11,500,
Interest Rate = 10%
Time = 240 days (use ordinary interest)

Partial payments:
On 100th day, $6,000
On 180th day, $3,500

a. Use the U.S. Rule to solve for total interest cost. (Use 360 days a year. Do not round intermediate calculations. Round your answer to the nearest cent.)
b. Use the U.S. Rule to solve for balances. (Use 360 days a year. Do not round intermediate calculations. Round your answers to the nearest cent.)
c. Use the U.S. Rule to solve for final payment. (Use 360 days a year. Do not round intermediate calculations. Round your answer to the nearest cent.)

Answers

Total interest=$489.58

Balance after 100th day=$5,819.44

Balance after 180th day=$2,448.77

Final payment=$2,489.58

Compute the total interest, the balances on the 100th and 180th days as well as the final payment of the loan?

In the first place, ordinary interest means simple interest, in other words, the simple interest approach would be used in computing the interest due at every point in time.

Interest=loan balance*interest rate*number of days that interest is due/360 days

Interest on 100th day=$11,500*10%*100/360

Interest on 100th day=$319.444444

balance after 100th day=initial principal+ interest-partial payment

balance after 100th day=$11,500+$319.444444 -$6,000

balance after 100th day=$5,819.444444

Note it has been 80 days since the payment of the last interest on 100th

interest on 180th day=$5819.444444 *10%*80/360

interest on 180th day=$129.320988

balance of the loan on the 180th day=$5,819.444444+$129.320988-$3,500

balance of the loan on the 180th day=$2,448.765432

The final payment would be the balance as of the 180th day plus the interest for the last 60 days(180th-240th)

final interest=$2,448.765432*10%*60/360

final interest =$40.812757

Final payment=$2,448.765432+$40.812757

Final payment=$2,489.58

Total interest=$319.444444+$129.320988+$40.812757

Total interest=$489.58

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need rn!If a point C is inside AVB, then mAVC + mCVB = ______. Use two different methods to find an explain the formula for the area of a trapezoid that has parallel sides of length a and B and height H. Consider these ideas or others: combine two copies of a trapezoid to make a parallelogram. Subdivide the trapezoid into two triangles one with base b and one with base a. An atom has the following isotopes in the the following abundances. 20 10Z 30% , 19 10Z10% , 18 10Z 60% What is the average atomic mass Select the possessive pronoun that completes the following sentence. Ma famille est amricaine tandis que _________________ est franaise.A. les tiensB. le tienC. les tiennesD. la tienne If (x+ 1) is a factor of the polynomial x + px + x + 6 = 0. Find p. Which of the following sentences contains the best example of figurative language?I'm sure that I failed that horrible exam.His brown hair blew wildly around in the wind.Her lips were as red as roses in the spring.None of the sentences use figurative language. To promote accountability, which document outlines the method for coordinating response operations?. Solve a) with Substitution and b) with Elimination (check attached picture) \Handy Helpers is considering implementing a system that will pay its cleaning workers based on the number of completed residential jobs, coupled with satisfactory ratings on random inspections to ensure quality. This system is new to the organization, and it is an example of ________ change Jamie had seven posters, but only 3 could fit on his closet door. How many different ways can he arrange the three posters out of the seven on his door?A. 52.5B. 210C. 1260D. 5040 Annoying me Ive been at this for hours There are 3 times as many females as males on the maths course at university. What fraction of the course are male?Give your answer in its simplest form. How did laws change regarding children under the age of 12?OA. They would soon be required to have a college degreeB. They would soon be required to learn a tradeC. They were now required to work more hoursD. They were now required to attend school more Let f(x)=1/x+x, where is a nonzero number.what is the product of all the values of a, such that f(a)=f(2a)? The surface area of a sphere is 6477 square inches. Which equation can be used to solve for the radius of thesphere?64m 4mr647=2m6477= 2m64- 4m Section 6.1 Add and Subtract PolynomialsAdd and Subtract MonomialsIn the following exercises, add or subtract the monomials.594. 12q (6q) use the quadratic formula to solve the equation : 10x2 +11x=1 Which number line represents the solutions to 1-2x) = 4?O+OOO-10 -8 -6 -4 -2 0 2 4 6-10 -8 -6 -4 -2 0 2 4+-10 -8 -6 -4 -2 0 2 4 6 8 10-10 -8 -6 -4 -2 086++108 102 4 6 8 10 Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5,5)B(7,5)C(7,-1)D(5,1)Given these coordinates, what is the length of side of BC Rectangle? Cloture is Group of answer choices the ability of a senator to speak for as long as he or she wishes to prevent action from being taken on legislation that he or she opposes. the process by which three-fifths of the Senate can end a filibuster. the rule that allows one house of Congress to circumvent the other during the legislative process. the process by which the president can end a filibuster. a lawsuit filed by a member of the Senate against a member of the House or vice versa.