when you retire, you want to have a million dollars saved. if you plan to retire in 40 years, and you can receive 5% interest annually on a savings account, what is the fixed amount you have to save each year?

Answers

Answer 1

You want to have $1,000,000 saved up for retirement. If you anticipate retiring in 40 years and are able to earn 5% interest per year on a savings account, the fixed amount is $8,278.

How do you calculate fixed rate?

Total Cost of Production - Variable Cost Per Unit * Number of Units Produced equals Fixed Cost.Add up your variable costs and divide by the quantity of units you generated to get your total cost of production.

Regardless of the number of hours worked or an employee's performance, the fixed pay remains the same. Any sum equal to the set amount that the Issuer will pay the Swap Counterparty for that Payment Date under the terms of the Interest Rate Swap is referred to as a "Fixed Amount" for that Payment Date.

Even though it is grammatically valid to state a number of people, the amount of people is more frequently heard in everyday speech. Although it is often used, the number of persons is incorrect.

The complete question is

When you retire, you want to have a million dollars saved. If you plan to retire in 40 years, and you can receive 5% interest annually on a savings account, what is the fixed amount you have to save each year?

$8,278

$23,026

$14,836

$3,860

None of these answers

Therefore the correct answer is $8,278 .

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Related Questions

a. the balanced scorecard b. a strategic scorecard c. a strategic map d. measurement management e. evidence-based management

Answers

Some managers use the balanced scorecard which provides four indicators with which organizations can set goals and measure performance.

What does "balanced scorecard" refer to?The balanced scorecard, a strategic scorecard, and a strategic map are the results of an image search. Evidence-based management, measurement management, andIn order to constantly enhance strategic performance and outcomes, a balanced scorecard (BSC) is a management system that offers feedback on both internal company processes and external outcomes.The balanced scorecard involves tracking a company's performance in four key areas: learning and development, business operations, clients, and finances.A system for strategic planning and management is the balanced scorecard (BSC). BSCs are used by organizations to: Express their objectives. Align strategy with the daily job that everyone is performing.

The complete question is Some managers use ________, which provides four indicators with which organizations can set goals and measure performance.

A) a strategic map

B) the balanced scorecard

C) measurement management

D) a strategic scorecard

E) evidence-based management

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suppose i have computed the cost of carbon per mile for my car at 0.012 per mile. assume that the interest rate is 3% and that i drive the car 24,000 miles per year. what is present value of the carbon expense for four years? you will need to use the pv function in excel or a financial calculator. in excel the present value of a stream of monetary cash flows is given by -pv(rate,number of payments,payment amount) where rate is the interest rate if the payment is a cost but entered in excel as a positive number. you can also compute the carbon cost per year and then discount those four values back to the present.

Answers

To calculate the present value of the carbon expense for four years, we can use the present value (PV) function in Excel or a financial calculator.

The PV function in Excel has the following syntax:

=PV(rate, number of payments, payment amount, [future value], [type])

Where:

rate: The interest rate, entered as a positive number.number of payments: The number of payments in the series.payment amount: The payment amount per period.future value: The future value of the investment. This is optional and can be left blank if not known.type: A number indicating when payments are due. 0 indicates that payments are due at the end of the period, and 1 indicates that payments are due at the beginning of the period. This is optional and can be left blank if not known.

In this case, we can use the following formula to calculate the present value of the carbon expense for four years:

=PV(3%, 4, -0.012*24000, 0, 0)

This formula calculates the present value of a series of four payments of -0.012*24000, with an annual interest rate of 3%. The payments are assumed to be due at the end of the period (type = 0).

The result of this formula is -400.17. This means that the present value of the carbon expense for four years is $400.17.

Alternatively, we could also calculate the carbon cost per year and then discount those four values back to the present. To do this, we would need to calculate the carbon cost per year, which is 0.012*24000 = $288.

Then, we would use the PV function to calculate the present value of each year's carbon cost, using the annual interest rate of 3%. The present value of the carbon expense for four years would be the sum of the present values of each year's carbon cost.

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______permits companies to tailor offers and content to needs and interests of carefully defined​ segments, which in turn helps develop​ long-lasting customer relationships as well as resulting in immediate responses.

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Direct Marketing permits companies to tailor offers and content to needs and interests of carefully defined​ segments, which in turn helps develop​ long-lasting customer relationships as well as resulting in immediate responses.

How Does Direct Marketing Work?

Any form of marketing that communicates or distributes with consumers directly, as opposed to indirectly through a third party like the media, is considered direct marketing. Campaigns can be sent using mail, email, social media, and texting, among other distribution methods.

The act of presenting an offer directly to a target client and providing them with a way to respond immediately is known as direct marketing. It is sometimes referred to as direct response marketing among practitioners. Advertising, in contrast, is a form of mass messaging.

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assume instead that american consumers, fearing an economic collapse, increased their marginal propensity to save to 0.5. would this increase, decrease, or not change the effectiveness of teh stimulus packakge?

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A government that chooses fiscal stimulus lowers taxes or boosts spending in an effort to boost the economy.

How does the economy do after a stimulus package? A government that chooses fiscal stimulus lowers taxes or boosts spending in an effort to boost the economy.People have access to more money when taxes are reduced.People will have more money to spend if their disposable income rises, which will improve demand, production, and economic growth.Towards the time the second stimulus program was implemented at the end of December 2020, the economy had begun to show signs of recovery, and the unemployment rate had decreased to 6.7%.With money from the second stimulus package, households changed their spending patterns as a result of the better economic conditions.Everyone increases their consumption when the government pumps money into the economy.

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today, many organizations are moving the internal management of diversity away from human resources where it was treated as a legal issue and creating a new position called:

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Today, many organizations are creating a new position called HR management to take over the internal management of diversity from human resources, where it was previously treated as a legal issue.

What is HR management?Human resource management (HRM) is the practice of recruiting, hiring, deploying and managing an organization's employees. HRM is often referred to simply as human resources (HR). A company or organization's HR department is usually responsible for creating, putting into effect and overseeing policies governing workers and the relationship of the organization with its employees. The term human resources was first used in the early 1900s, and then more widely in the 1960s, to describe the people who work for the organization, in aggregate.HRM is employee management with an emphasis on those employees as assets of the business. In this context, employees are sometimes referred to as human capital. As with other business assets, the goal is to make effective use of employees, reducing risk and maximizing return on investment (ROI).

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a company reported the following information at year-end: book value estimated cash flows fair value building $ 500,000 $ 380,000 $ 360,000 patent $ 35,000 $ 40,000 $ 38,000 copyright $ 40,000 $ 38,000 $ 39,000 machine $ 100,000 $ 120,000 $ 85,000 based on the above information, what is the total amount of impairment loss that the company should report at year-end?

Answers

The total amount of impairment loss that the company should report at year-end is $139,000.

What is impairment loss ?

When a corporate asset's fair market value decreases more than its book value on the company's financial statements, it is said to be impaired.

Assets that are deemed "damaged" must be recorded as a loss on an income statement in accordance with U.S. generally accepted accounting rules, or GAAP.

A drop in an asset's net carrying value, which is the acquisition cost minus depreciation, that is greater than the asset's future concealed cash flow is referred to as an impairment loss in accounting terms. When assets are sold or abandoned because the company no longer believes they will help with long-term operations, impairment occurs.

Given that:

                    Book value           Estimated cash flow       Fair value

Building       $ 500,000                $ 380,000                    $ 360,000

Patent          $ 35,000                  $ 40,000                       $ 38,000

Copyright    $ 40,000                  $ 38,000                       $ 39,000

Machine      $ 100,000                $ 120,000                      $ 85,000

The impairment loss happens when C-Stop corporation cash flow is less than it's book value.

As can be seen, the expected cash flows for the building and copyright are below the book value. so total amount of impairment loss:

($ 500,000   -  $ 360,000   ) - ($ 40,000-  $ 39,000  )

= $ 140,000 - $1,000

= $139,000

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which is larger; the price elasticity of demand for food of the price elasticity of demand for oranges? why?

Answers

The rate elasticity of call for for oranges is greater due to the fact there are numerous extra substitutes for oranges than there are for food.

The required details for price elasticity of demand in given paragraph

A good's rate elasticity of call for is a degree of the way touchy the amount demanded is to its rate. When the rate rises, amount demanded falls for nearly any good, however it falls extra for a few than for others. The rate elasticity offers the share alternate in amount demanded while there may be a one percentage boom in rate, maintaining the whole lot else constant. If the pliability is −2, meaning a one percentage rate upward thrust ends in a percentage decline in amount demanded. Other elasticities degree how the amount demanded adjustments with different variables (e.g. the profits elasticity of call for for client profits adjustments). Price elasticities are terrible besides in unique cases. If a very good is stated to have an elasticity of 2, it nearly usually manner that the coolest has an elasticity of −2 in keeping with the formal definition.

The phrase "extra elastic" manner that a very good's elasticity has more magnitude, ignoring the sign. Veblen and Giffen goods are training of products that have nice elasticity, uncommon exceptions to the regulation of call for.

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I love apple pie because it tastes good. Why do I.

Answers

Answer:

bc IT YUMMY

Explanation:

Answer:

Because it tastes good

Explanation:

u literally said it

an effective delivery requires that a donor retain control and dominion over the subject matter of a gift. true false

Answers

The donor must also renounce control and dominion (ownership rights) over the gift's object in order for the effective delivery otherwise, the donor will be responsible for paying taxes on the property's revenue.

What are the four characteristics of an effective delivery, and what is effective delivery?

In order to create client value, service providers must ensure that the services they give are of a high calibre. Effective service delivery is to improve consumer wants and demands. You should aim for naturalness in your delivery, be enthusiastic, exude confidence, and make eye contact with audience members. Speech delivery can be divided into four categories: memorised, extemporaneous, written, and spontaneous. Speaking spontaneously, as when someone is asked to "say a few words," is known as impromptu speaking. Extemporaneous speaking entails using notes to deliver a speech in a conversational style.

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why have some municipalities put restrictions on innovations in the sharing economy and in on-demand services?

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Sharing resources, frequently through online or mobile platforms, is a component of the sharing economy. The sharing economy is typified by services like ride-sharing, short-term rentals, co-working, and food delivery.

Regulator ambiguity is a common theme in criticism of the sharing economy. Businesses that provide rental services are frequently subject to federal, state, or municipal restrictions; people who provide rental services without a licence may not be adhering to these rules or paying the corresponding fees.

Our research indicates that nine barriers—effort expectation, exploitation, rigidity, lack of trust, danger to performance, physical safety, privacy, and procedure, as well as unwanted social interaction—have a negative influence on involvement in the sharing economy.

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the deadweight loss is smallest when a tax is levied on a good where the elasticity of demand is

Answers

The deadweight loss is smallest when a tax is levied on a good where the elasticity of demand is relatively inelastic.

The cost of market inefficiency, which happens when supply and demand are out of balance, is known as a deadweight loss.

Deadweight loss, a term mostly used in economics, refers to any deficit brought on by an ineffective resource allocation.

Deadweight losses are generally caused by an inefficient distribution of resources, which is brought about by a variety of interventions, including price floors, ceilings, monopolies, and levies.

These elements cause goods to be overvalued or undervalued because the price of a product is not adequately reflected.

When a product's price is not adequately displayed, customer and producer behaviour are likely to change, which typically has a negative effect on the economy.

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Antigen presentation requires the physical attachment of antigen to a specialized transmembrane __________ called MHC.

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Antigen presentation requires the physical attachment of antigen to a specialized transmembrane proteins called MHC.

What is Antigen?

Your immune system uses antigens as markers to determine whether or not something in your body is hazardous. Viruses, bacteria, cancers, and healthy bodily cells all include antigens. An antigen in immunology is a molecule, molecular structure, foreign particle, pollen grain, etc. that can attach to a particular antibody or T-cell receptor. An immunological reaction may be brought on by the presence of antigens in the body. An antigen is any material that the immune system identifies as foreign. Immunogens also include antigens. The immune system is known to be activated by antigens. They could be autoantigens, exogenous, or endogenous. Pollen, bacteria, parasitic worms, and viruses are a few types of antigens.

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all things being equal, which event will shift the aggregate demand (ad) curve to the right? choose all that apply.

Answers

The aggregate demand curve, shifts to the right as the components of aggregate demand, consumption spending, investment spending, government spending, and spending on exports minus imports rise.

What is the definition of aggregate demand?

However, aggregate demand identifies the complete market for all goods and services that an economy generates and expresses it as an overall dollar value. A nation might have a $1 billion annual aggregate demand for products and services, for instance.

Why is it crucial?

A way to examine all of the demand for goods and services in an economy is through aggregate demand. It is a measure used by macroeconomists to ascertain or forecast the total economic strength of a nation over a specific time period, often one year.

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what two facets of nonprofit organizations makes branding more critical for them as compared to for-profit organizations? (check all that apply.)

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Complex goals and varied audiences, are the two facets of nonprofit organizations makes branding more critical for them as compared to for-profit organizations.

The act of studying, creating, and implementing a distinctive feature or collection of features for one's organisation so that customers might start to identify it with its goods or services is known as branding.

People brand their business by developing a website that explains what they want to offer, creating ads that advertise those goods and services, choosing specific corporate colours that will be associated with their business, developing a logo, and using that logo across all of their social media accounts.

However, they will still have a brand even if they never invest in a strategic brand plan. Customers' perceptions of them will be impacted if, for instance, they are a corporation with poor customer service. One can position themselves as a brand that goes above and beyond or one might be known as a business that doesn't care about its clients.

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in her fifteen-year career at calcorp, samantha's work did not require any travel at all. actually, samantha has never traveled outside of the united states. however, she has excelled at her job and is good at communicating with everyone in the firm. an important position has opened in calcorp's dubai operations, and the company is considering whom to send. according to mendenhall and oddou, which attribute would seem unlikely to predict success in this situation?

Answers

Samantha hasn't actually traveled outside of the US, in actuality. Despite this, she has done a terrific job and communicates well with everybody in the organization.

What accounts for Samantha's fame?

Although she struggled to achieve fame, many people are inspired by her story. Samantha is a talented Telugu actress that is also attractive and successful. Her most well-known films include Eega, Neethaane En Ponvasantham, Dookudu, Yeto Vellipoyindhi Manasu, and just few others.

What is Samantha's real name?

Samantha Ruth Prabhu, originally Samantha Akkineni, is an Indian actor who primarily works in the Telugu and Tamil cinema industries. She was born on April 28, 1987.

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the nacho division of the tex-mex company has a return on investment (roi) of 12%, sales of $200,000, and an asset turnover of 2.0. what was nacho's operating income?

Answers

The nacho division of the tex-mex company has a return on investment (roi) of 12%, sales of $200,000, and an asset turnover of 2.0 .Operating income for Nacho is  $6,510.

What was nacho's operating income?Operating income is the adjusted revenue of a business after all operating costs and depreciation have been taken into account. The charges spent to maintain the functioning of the firm are known as operational expenses.

The nacho division of the tex-mex company has a return on investment (roi) of 12%, sales of $200,000, and an asset turnover of 2.0.

First, we determine the division's total asset.

Asset turnover is equal to Sales/Total Assets.

Total Assets = Asset turnover / Sales

= $217,000/ 4

$54,250 in asset turnover

Additionally, ROI is calculated as Operating Income / Total Assets.

Consequently, operating income equals return on investment times total assets.

= 12% X 54,250

=$6,510

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) If the percentage change in quantity demanded is greater than the percentage change in price, can you determine if the
demand is elastic, unit elastic, or inelastic? Explain your answer.

Answers

If the share extrude in amount demanded is more than the share extrude in rate, the call for is elastic.

The required details for Elasticity in given paragraph

Elasticity is an critical idea in neoclassical financial concept, and allows within side the information of diverse financial concepts, which include the occurrence of oblique taxation, marginal concepts referring to the concept of the firm, distribution of wealth, and different sorts of goods referring to the concept of purchaser preference. An information of elasticity is likewise critical whilst discussing welfare distribution, in particular purchaser surplus, manufacturer surplus, or authorities surplus. Elasticity is gift at some stage in many financial theories, with the idea of elasticity acting in numerous principal indicators. These encompass rate elasticity of call for, rate elasticity of supply, earnings elasticity of call for, elasticity of substitution between elements of production, cross-rate elasticity of call for, and elasticity of intertemporal substitution.

In differential calculus, elasticity is a device for measuring the responsiveness of 1 variable to modifications in some other causative variable. Elasticity may be quantified because the ratio of the percent extrude in a single variable to the share extrude in some other variable whilst the latter variable has a causal impact on the previous and all different situations stay the same.

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6. Three months ago, the
price of a good was $4,
and the quantity supplied
was 200 units. Today,
the price is $6, and the
quantity supplied is 400
units. Did the quantity
supplied rise because the
price increased, or did
the price rise because
The quantity supplied increased

Answers

Answer:

The quantity supplied increased due to price rise. This is because of law of supply.

Explanation:

the quantity supplied rose because the price increased.

if the supplied quantity increased, with demand as it was, the price would fall.

refer to scenario 16-3. if yumyum decides to advertise its product it can expect to a. incur a loss of $1.5 million. b. earn a profit of $1.5 million. c. incur a loss of $15 million. d. earn a profit of $13.5 million.

Answers

When YumYum decides to advertise its product it can expect to A. incur a loss of $15 million.

What is advertisement?

Advertising refers to the methods used to draw attention to a good or service. An objective of advertising is to highlight a good or service in an effort to get consumers to notice it. When it comes to advertising, there are three main goals to keep in mind: to inform, persuade, and remind consumers about your brand and products.

In this situation, eacch company knows that if it spends $12 million on advertising it will get 1.5 million consumers to try its new product. YumYum has done market research which suggests that its product does not have any "staying" power in the market and even though it could get 1.5 million consumers to buy the product once,

Since profit per unit = (P-MC) = (9-2) = 7

So total Revenue = 7*1.5 = 10.5 million

So π = 10.5-12 = -1.5

Loss of 1.5 million.

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Consider the problem facing two firms, YumYum and Bertollini, in the frozen food market. Each firm has just come up with an idea for a new “frozen meal for two” which it would sell for $9. Assume that the marginal cost for each new product is a constant $2, and the only fixed cost is for advertising. Each company knows that if it spends $12 million on advertising it will get 1.5 million consumers to try its new product. YumYum has done market research which suggests that its product does not have any "staying" power in the market. Even though it could get 1.5 million consumers to buy the product once, it is unlikely that they will continue to buy the product in the future. Bertollini's market research suggests that its product is very good, and consumers who try the product will continue to be consumers over the ensuing year. On the basis of its market research, Bertollini estimates that its initial 1.5 million customers will buy one unit of the product each month in the coming year, for a total of 18 million units.

If YumYum decides to advertise its product it can expect to

a. incur a loss of $15 million.

b.incur a loss of $1.5 million.

c. earn a profit of $1.5 million.

d.earn a profit of $13.5 million

when you have towing and emergency road service coverage on your automobile insurance policy, what are some of the typical expenses your insurance company will pay or reimburse you for?

Answers

the price for a locksmith to get your keys out of a locked car

changing a flat tyre and towing your car if it breaks down while you're going

When you have a dead battery, an emergency road service provider will arrive to jump-start your vehicle.

What exactly is an auto insurance policy?

An illustration of a vehicle insurance policy

The loss of or damage to an automobile or its components resulting from natural or man-made disasters is covered by auto insurance in India. It offers accident coverage for individual car owners while they are driving, as well as for passengers and third-party liability.

What exactly is a man-made disaster?

Natural disasters and man-made disasters are the two main categories. Earthquakes, volcanoes, storms, floods, and fires are a few examples of natural disasters. War, pollution, nuclear explosions, fires, hazardous substance exposures, explosions, and transportation mishaps are a few examples of man-made disasters.

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ace 2 face corporation reports 100 outstanding shares, 500 authorized shares, and 50 shares of treasury stock. how many shares are issued?

Answers

The offer capital of a partnership is the piece of the value of the organization that has been produced by giving the portions of the enterprise to investor ordinarily in return for cash. Shareholders receive dividends in the form of a proportion of a corporation's profits as a unit of ownership.

The number of authorized shares that a company can legally issue to raise capital are known as authorized shares.

The amount of money invested in a company by its owners in the form of common and/or preferred shares is referred to as the company's "share capital."

Share capital is what kind of capital is it?

Share capital is of two sorts specifically, value share capital and inclination share capital. Equity share capital is obtained through investor funding, whereas preference share capital is obtained through preference share issuance.

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true or false: an organic marketing strategy is reliant on your followers, while social media advertising allows you to target new audiences.

Answers

Answer: True or false While social media advertising enables you to reach out to new audiences, organic marketing relies on your following.

Explanation: What is an organic marketing plan?

Let's talk about organic marketing, which is essentially everything not related to paid advertisements or other marketing techniques. Instead, organic marketing (often referred to as inbound marketing) focuses on easy-to-implement methods for increasing free traffic by providing value to your audience.

What serves as the goal of organic marketing?

Instead of using paid marketing strategies, organic marketing is a digital marketing tactic that helps you automatically drive visitors to your website. Through useful and interesting content, it strives to increase brand recognition, drive visitors to landing pages and websites, foster relationships, and produce new leads.

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a local mall has decided to install cctv surveillance cameras in various locations on its property. what type of impact on crime might this strategy have?

Answers

In response to the question, this strategic approach has led to a decrease in piracy.

What exactly do users mean by strategy?

A strategy defines how the means will be used to achieve the ends (goals) (resources). Strategy can be deliberate or emerge as just a sequence of activity as an organization adapts to or competes in its environment. It entails tasks like strategic planning and thinking.

What is the significance of strategy?

Strategy assists us in defining our business by providing it with a set of principles and a sense of purpose. It enables us to comprehend what success entails. It serves as a road map for our company, indicating our destination and identifying useful rest stops along the way.

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If gas prices increase, what would happen to incomes for households and businesses?

Answers

Answer:

If gas prices continue to increase household incomes people are getting now may not be enough for the family, causing people to ask for extra hours which when giving extra hours once a person is on overtime they legally have to make at least pay and a half per hour, so if someone is making $15 an hour, once they are on overtime they make $22.50 causing businesses to put out more money. Businesses may also not be able to afford the overtime causing the worker to continue struggling with pay and either look for a higher-paying job or get a second job.

on july 9, mifflin company receives an $9,100, 120-day, 6% note from customer payton summers as payment on account. what entry should be made on the maturity date assuming the maker pays in full, and no adjusting entries have been made related to the note?

Answers

For using the debt for more than 120 days, the interest paid represents a cost. The amount of interest paid is: 6% x 120/360 x 9,500 = $190 because the annual interest rate is 6%.

An illustration of an annual interest rate

In other words, the annual percentage rate (APR) of a given loan is the total amount of interest paid over the course of the year expressed as a percentage of the loan. For instance, if the annual percentage rate (APR) on a credit card is 10%, you would pay about $1,000 a year for every $10,000 borrowed.

Is monthly or yearly interest preferable?

As opposed to savings accounts that pay only once a year, monthly interest accounts allow you to earn interest more often, allowing you to maximize the return on your money. If you want to start seeing the benefits of your savings right away rather than waiting for an annual interest payout, this sort of savings account might be the best choice for you.

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what other channel can sport organizations and governing bodies use to access consumers other than traditional media broadcasting (tv and radio)?

Answers

Other channels that can be used by sport organizations and governing bodies to access consumers other than traditional media broadcasting are:

broadcasting of games and highlights via popular video-sharing sites.social-networking sites.show game and user-generated highlights on their own website.

Therefore All of the above is the correct option.

What is  Media Broadcasting?

Broadcast media refers to a broad range of communication channels, including radio, television, newspapers, magazines, and any other products produced by the press or media.

Also, broadcasting is the one-to-many way of distributing audio or video content to a dispersed audience utilizing any electronic mass communication media, but typically one that utilizes the radio frequency spectrum.

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Complete Question Below:

What other channel can sport organizations and governing bodies use to access consumers other than traditional media broadcasting (TV and radio)?

A. broadcasting of games and highlights via popular video-sharing sites.

B. social-networking sites

C. show game and user-generated highlights on their own website

question 6 the ceo asks a team member to do some work outside the goals of the current sprint in progress. what should the team member do?

Answers

In order for the project owner to collaborate with the CEO, the CEO asks a team member to perform work outside the scope of the current Sprint's objectives.

Who will guide the team through the sprint process?

A clear understanding of product planning is imparted by the Scrum Master, who also facilitates Scrum events as requested by the Product Owner and assists the Product Owner in prioritizing and grooming the Product backlog. He or she makes it easier for the Product owner and the team to communicate.

When members of a scrum team get together and work together to figure out the best way to build?

The best method for building and delivering the software or other deliverables to the business is determined by team members working together. In order to ensure that the product will be as valuable as possible, the team, particularly the product owner, works with stakeholders to examine and modify the product vision.

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2. how many shares of common stock are outstanding at year-end? 3. what is the total paid-in capital at year-end?

Answers

Answer:2)20,000

3)650,000

Explanation:

At year's conclusion, the number of outstanding common shares is calculated as follows: ($250,000+125,000+50,000+75,000) / $25.

At the conclusion of the year, there were 20,000 shares of common stock outstanding ($500,000 / $25).

Common stock plus Paid-in Capital Exceeding Par Value = Total Paid-In Capital at Year End

At the conclusion of the year, the total paid-in capital was equal to $(20,000*$25) + (50,000+25,000+30,000+45,000).

At year's conclusion, paid-in capital was equal to $650,000 ($500,000 plus $150,000).

At year's end, book value per common share was equal to $695,000 divided by 20,000, or $34.75 per share.

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Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6. 5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?.

Answers

The total finance charge over the course of his loan is $2071.20 if Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6. 5%.

Finance is what?

Finance is the process of obtaining funds or capital for any kind of expenditure. It is the process of allocating different financial resources, such as credit, loans, and invested capital, to the areas of the economy that may most benefit from them.

Does one want to work in finance?

The good compensation is one thing that makes financial jobs so tempting. The median annual wage for all business and financial occupations in May 2021 was $76,570, according to the Bureau of Labor Statistics. That is significantly more than the $45,760 average yearly salary for all occupations.

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we now suppose that the production is fixed at , where is a constant. what values of and minimize the cost function ?

Answers

According to the given statement the value of L is  [tex]\frac{Q \alpha^{1-\alpha} n^{1-\alpha}}{b m^{1-\alpha}(1-\alpha)^{1-\alpha}}[/tex]  and K is [tex]\frac{Q}{b}\left(\frac{m(1-\alpha)}{\alpha n}\right)^\alpha[/tex]minimize the cost function C(L,K)=mL+nK

What does "cost" mean?

A cost is the worth of revenue that has been used to generate things or provide a service and is thus no longer accessible for use in production, exploration, retail, and accounting. In the situation of an acquisition cost, the money spent on the acquisition is considered the cost.

Briefing:

To find the maximum values of f (x,y,z) subject to the constraint g (x,y,z) [assuming that this extreme values exist and ∇g≠0 on the surface ∇g(x,y,z) = k],

(a) Find all x, y, z, and lambda values that result in

∇f(x,y,z) = λ∇g(x,y,z)g(x,y,z) = k

(b) f should be evaluated at all locations (x, y, z) that follow from step (a). The greatest and minimum values of f are represented by the largest and smallest of these numbers, respectively.

Given:

C(L,K) = mL+nk

[tex]b L^\alpha K^{1-\alpha}=Q[/tex]

Calculation:

To solve the problem, minimize the function C(L,K) = mL+nK subject to the constraint

[tex]g(L, K)=b L^\alpha K^{1-\alpha}=Q[/tex]

By using the concept,

∇C(L,K) = λ∇g(L,K)

Using L as the partial derivative,

[tex]C_L=\lambda g_L[/tex]

[tex]\text { As } C=m L+n K \text { there fore } C_L=m \text { and } g=b L^\alpha K^{1-\alpha} \text { there fore } g_L=b \alpha L^{\alpha-1} K^{1-\alpha}[/tex]

Therefore, equation [tex]C_L=\lambda g_L[/tex] becomes

[tex]\begin{aligned}& m=b \alpha L^{\alpha-1} K^{1-\alpha} \lambda \\& m=b \alpha\left(\frac{L}{K}\right)^{\alpha-1} \lambda \\& \lambda=\frac{m}{\alpha b}\left(\frac{L}{K}\right)^{1-\alpha} \quad \cdots(1) \\&\end{aligned}[/tex]

Now, taking the partial derivative with respect to K.

[tex]$$C_K=\lambda g_K$$As $C=m L+n K$ therefore $C_K=n$ and $g=b L^\alpha K^{1-\alpha}$ therefore $g_K=(1-\alpha) b L^\alpha K^{-\alpha}$[/tex]

Therefore, the equation [tex]C_K=\lambda g_K[/tex] becomes,

[tex]\begin{aligned}& n=(1-\alpha) b L^\alpha K^{-\alpha} \lambda \\& n=(1-\alpha) b\left(\frac{L}{K}\right)^\alpha \lambda \\& \lambda=\frac{n}{(1-\alpha) b}\left(\frac{K}{L}\right)^\alpha\end{aligned}[/tex]

Solving the equation for finding K and L

From (1) and (2)

[tex]\begin{aligned}& \lambda=\frac{m}{\alpha b}\left(\frac{L}{K}\right)^{1-\alpha}=\frac{n}{(1-\alpha) b}\left(\frac{K}{L}\right)^\alpha \\& \frac{m}{\alpha}\left(\frac{L}{K}\right)^{1-\alpha}=\frac{n}{(1-\alpha)}\left(\frac{K}{L}\right)^\alpha \\& \left(\frac{L}{K}\right)^{1-\alpha}\left(\frac{L}{K}\right)^\alpha=\frac{\alpha n}{(1-\alpha) m} \\& \frac{L}{K}=\frac{\alpha n}{(1-\alpha) m} \\& L=\frac{K \alpha n}{(1-\alpha) m} \quad \ldots(3)\end{aligned}[/tex]

Put the above value in the constraint. [tex]b L^\alpha K^{1-\alpha}=Q[/tex]

[tex]\begin{aligned}& b\left(\frac{K \alpha n}{(1-\alpha) m}\right)^\alpha K^{1-\alpha}=Q \\& b\left(\frac{\alpha n}{(1-\alpha) m}\right)^\alpha K=Q \\& K=\frac{Q}{b}\left(\frac{m(1-\alpha)}{\alpha n}\right)^\alpha \\& K=\frac{Q}{b}\left(\frac{m^\alpha(1-\alpha)^\alpha}{\alpha^\alpha n^\alpha}\right)\end{aligned}[/tex]

Put the values in (3).

[tex]\begin{aligned}& L=\frac{Q}{b}\left(\frac{m^\alpha(1-\alpha)^\alpha}{\alpha^\alpha n^\alpha}\right) \frac{\alpha n}{(1-\alpha) m} \\& L=\frac{Q}{b}\left(\frac{m^{\alpha-1}(1-\alpha)^{\alpha-1}}{\alpha^{\alpha-1} n^{\alpha-1}}\right) \\& L=\frac{Q \alpha^{1-\alpha} n^{1-\alpha}}{b m^{1-\alpha}(1-\alpha)^{1-\alpha}}\end{aligned}[/tex]

Hence,

[tex]L=\frac{Q \alpha^{1-\alpha} n^{1-\alpha}}{b m^{1-\alpha}(1-\alpha)^{1-\alpha}} \quad K=\frac{Q}{b}\left(\frac{m(1-\alpha)}{\alpha n}\right)^\alpha[/tex] minimizes the cost function C (L,K) =mL +nK

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The complete question is-

Referring to Exercise 27, we now suppose that the production is fixed at bLK1=Q, where Q is a constant. What values of L and K minimize the cost function C(L,K)=mL+nK?

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