What is the present value of a 4-year ordinary annuity of $4,250 per year plus an additional $2,750 at the end of Year 4 if the interest rate is 6%

Answers

Answer 1

The present value of the 4-year ordinary annuity of $4,250 per year plus an additional $2,750 at the end of Year 4 if the interest rate is 6% is $17,732.71.

We must determine the present value of each cash flow and add them up to determine the present value of an ordinary annuity. In this instance, we have a 4-year ordinary annuity with an additional $2,750 at the end of Year 4 and an annual payment of $4,250 with a 6% interest rate.

To find the present value of the annuity payments, we can use the formula for the present value of an ordinary annuity:

PV = C * [(1 - (1 + r)⁻ⁿ) / r]

Where PV is the present value, C is the cash flow per period, r is the interest rate, and n is the number of periods.

Using the formula, we can calculate the present value of the annuity payments as follows:

PV of annuity payments = $4,250 * [(1 - (1 + 0.06)⁻⁴) / 0.06] = $15,521.65

To find the present value of the additional payment at the end of Year 4, we can simply discount it back to the present value:

PV of additional payment = $2,750 / (1 + 0.06)⁴ = $2,211.06

Finally, we can calculate the total present value by summing up the present values of the annuity payments and the additional payment:

Total present value = PV of annuity payments + PV of additional payment = $15,521.65 + $2,211.06 = $17,732.71

Therefore, the present value of the 4-year ordinary annuity is $17,732.71.

In conclusion, the present value represents the current worth of future cash flows adjusted for the time value of money. By calculating the present value of each cash flow in the annuity and summing them up, we can determine the present value of the annuity. This helps us understand the value of the annuity in today's terms and make informed financial decisions.

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Related Questions

Which of the following jobs is expected to double in the next few years?
nurse
automobile mechanic
real estate salesperson
computer engineer

Answers

Answer:

real estate salesperson

Computer Engineer

I have to write at least 20 characters to post this.

QUESTION 2 of 10: A
agency attempts to recover monies past due on customer accounts.
a) Central Intelligence
b) Customer Service
c) Collection
d) Consumer Protection

Answers

The answer to yo question is C

Which of the following must be true for a natural monopoly to occur?
a. the marginal cost must be below the average cost
b. the average cost must always be declining
c. the total cost must be constant
d. all of the above are true

Answers

For a natural monopoly to occur, all of the following conditions must be true: the marginal cost must be below the average cost, the average cost must always be declining, and the total cost must be constant.

Firstly, the marginal cost being below the average cost implies that the cost of producing an additional unit of output is lower than the average cost per unit. This is a characteristic of natural monopolies as they can take advantage of economies of scale, resulting in lower production costs.

Secondly, the average cost continually declining means that as the quantity of output increases, the average cost per unit decreases. This is often observed in natural monopolies due to their ability to spread fixed costs over a larger output, leading to cost efficiencies.

Lastly, the total cost being constant indicates that the overall cost of production remains the same regardless of the quantity produced. This condition is often met in natural monopolies where there are significant fixed costs involved.

Therefore, to have a natural monopoly, all of these conditions must hold true, as they represent the characteristics of an industry where a single firm can efficiently serve the entire market.

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Regardless of the form of share-based compensation, the accounting objective is to record compensation expere Multiple Choice as the book value of the compensation expensed over the vesting period. as the fair value of the compensation expensed over the vesting period as the book value of the compensation expensed at the date of grant as the fair value of the compensation expensed at the date of grant.

Answers

The accounting objective for recording share-based compensation is to accurately reflect the value of the compensation over the vesting period. This can be done using either fair value or book value accounting methods. The fair value method records the compensation expense based on the market value of the shares at the grant date, while the book value method records the expense based on the book value of the shares at the date of grant.

Ultimately, the goal is to ensure that the company'sm financial stateents reflect the true value of the compensation awarded to employees or other stakeholders. Regardless of the method used, it is important for companies to carefully track their share-based compensation expenses and ensure that they are in compliance with relevant accounting standards and regulations. By using the fair value, companies can properly account for the compensation's worth and align it with the financial reporting standards. This approach helps maintain transparency and comparability in financial statements.

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The race to the bottom scenario of global environmental degradation is explained roughly like this:
A. Profit-seeking multinational companies shift their production from countries with strong environmental standards to countries with weak standards, thus reducing their costs and increasing their profits.
B. Companies seek to reduce their costs of operation on plant and equipment design and this results in higher levels of pollution.
C. Companies seek the lowest market prices on products in order to gain market share, resulting in inferior goods and increased waste and pollution.
D. Companies seek to influence environmental legislation standards to the lowest possible standards in the U.S. in order to maximize profits.
Reset Selection

It is sometimes argued that a nation should not depend too heavily on other countries for supplies of certain key products. This argument is commonly known as the:
A. buy-American argument.
B. anti-dumping argument.
C. national interest argument.
D. self-sufficiency argument.

Answers

Answer:

A. Profit-seeking multinational companies shift their production from countries with strong environmental standards to countries with weak standards, thus reducing their costs and increasing their profits.

D. self-sufficiency argument.

Explanation:

In the case when there is a race to the bottom scenario so it would be described that the multinational companies that are profit seeking is shifting their production from that countries who have the strong environmental standards to the weak standard countries so that the order would be decreased due to this the profit would increase

In the other case, when the nation is not too much depend on other countries for supplies so this case we called as self-sufficiency argument as they managed themselves rather depending on another

Why someone working full time on a minimum wage may rin it very difficult to develop sources of unearned income, while someone on a higher salary should be able to

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The labour expenses that firms must bear may be significantly affected if the minimum wage is set too high or raised too much. This might therefore result in price inflation, harm to exports, and a decline in employment.

Do rising wages lead to inflation?

The relationship between wages and prices. Pay increases are a key inflationary factor since salaries account for a sizeable amount of organizations' expenditures. Inflation may increase when firms increase prices to maintain profits and profitability as a result of pay growth that is more rapid than productivity growth.

Why would a pay increase increase demand while reducing supply?

The volume of goods or services that are offered on the market may decline when profits or income rise since doing so also raises supplier or manufacturing expenses. According to microeconomic theory, an increase in wages or income translates into higher income levels for households and consumers.

Why would someone decide to put in less time at work to get more money?

With an increase in pay rates, the cost of producing the good rises, forcing manufacturers to raise their selling prices. As a result of consumers purchasing less of the goods when the price rises, there will be a reduction in output and sales. Less labor will be needed as a consequence.

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Discuss the professions related to finance.​

Answers

Answer:

Financial officer, finance clerk, treasurer

Finance officers help to manage the finances of an organisation by keeping track of its income and controlling its spending.

Why do you think the 4 components of media measurement are important?

Answers

Answer:

audience, impression, frequency, and cost per thousand (CPM) 3.

Reach””The number or percent of different homes or persons exposed at least once to an advertising schedule in one or more media vehicles over a given period of time.

Frequency””The average number of times that the household or person is exposed to a media vehicle, schedule or campaign over a given time period.

Pete would like to respond only to users within his organization with an automatic reply. He is configuring the automatic response. Which option should he select?

answer b

Answers

Answer: B: Inside my organization tab

Explanation: edge 2021 unit review

(a) An amount of $100 is deposited into an account at the end of the 1st year, after which payments of $200, $400, $600,... are deposited at the end of every 2 years, that is, there will be a payment of $200 at time 3, a payment of $400 at time 5, and so on. The last payment will be made at the end of the 15th year. Determine the present value if the annual effective rate of interest is 2%. Round your answer to the nearest cent. [7] (b) An annuity-due consists of a first payment of $100, with subsequent payments increased by 7% over the previous one until the 10th payment, after which subsequent payments are level at the amount of the 10th payment. If the effective rate of interest is 7% per payment period, determine the present value of this annuity-due with 20 payments. Round your answer to the nearest cent

Answers

The present value of the series of uneven cash flows and the annuity-due with increasing and level payments can be calculated by discounting each cash flow back to the present using the respective effective rates of interest.

(a) To calculate the present value of the series of uneven cash flows, we need to discount each cash flow back to the present using the given annual effective rate of interest of 2%. The first cash flow of $100 at the end of the 1st year does not need to be discounted since it is already at the present time. The subsequent cash flows of $200, $400, $600, and so on, occur every 2 years. We can treat these cash flows as a series of regular cash flows of $200 at the end of every 2 years. We can use the present value of an ordinary annuity formula to calculate the present value of these cash flows:

Present Value = \($100 + $200/(1 + r)^2 + $200/(1 + r)^4 + $200/(1 + r)^6 + ... + $200/(1 + r)^30\)

where r is the annual effective rate of interest (2% in this case). By substituting the values and calculating the sum, we can find the present value of this series of cash flows.

(b) For the annuity-due with increasing payments followed by level payments, we need to calculate the present value of each payment and then sum them up to find the total present value. The first payment is $100 and subsequent payments increase by 7% over the previous one until the 10th payment. After the 10th payment, subsequent payments remain constant at the amount of the 10th payment. We can use the present value of an annuity-due formula to calculate the present value of these cash flows:

Present Value = \($100/(1 + r) + ($100 * (1 + g))/(1 + r)^2 + ($100 * (1 + g)^2)/(1 + r)^3 + ... + ($100 * (1 + g)^10)/(1 + r)^11 + ($100 * (1 + g)^10)/(1 + r)^12 + ... + ($100 * (1 + g)^10)/(1 + r)^30\)

where r is the effective rate of interest (7% per payment period) and g is the growth rate of subsequent payments (7% in this case). By substituting the values and calculating the sum, we can find the present value of this annuity-due with 20 payments.

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Why is it important to plan early for your retirement?
That way you can choose the right major in college.
In order to take advantage of the power of compounding.
Planning early will allow you to invest in new companies.
Taxes on retirement investments increase as you get older.

Answers

It is quite important to begin to plan early for your retirement In order to take advantage of the power of compounding.

Why should you plan early for retirement?

When you start planning early for retirement, you get to invest funds earlier and leave them to grow for longer.

This means that you can take advantage of the power of compounding, in that your investment will compound for longer and accumulate to higher levels.

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A production possibilities curve (PPC) illustrates the attainable combination ______. Multiple choice question. of two goods that can be produced given a specific set of resources of two goods that can be produced given a limited amount of income of two goods that can be produced given an unlimited amount of resources of many goods that can be produced given an unlimited amount of resources

Answers

A production possibilities curve (PPC) illustrates the attainable combination of A. of two goods that can be produced given a specific set of resources.

What is production possibility curve?

It should be noted that the production possibility curve is important as it's used to improve efficiency and avoid wastage of resources.

In this case, a production possibilities curve (PPC) illustrates the attainable combination of two goods that can be produced given a specific set of resources.

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When writing a business plan, it
is important to think about the competition. Think of a
product or service you use often. What are the advantages it
has over competing products?

Answers

Depends on the product you are intending on introducing to the public

Say you are developing a phone, what features does it have over Apple? Let’s say Apple released a new feature, the greatest touch screen by average standards, so how can you top that? You can’t cause it’s the “greatest” by average standards

Do you think it is true that one person can make a difference? Why or why not?

Answers

Think about it. When one person influences a few others, there are two major effects:

A ripple effect that, over time, can actually impact thousands over generations.
A broadening effect since one person influences many, like multiplying tree branches.

So, yes.

How do I verify my LPC in Texas?

Answers

Visit the website at www.bhec.texas.gov/verify-a-license/index.html.

To search by license number, click the link.

To check the status of my license, which is in good standing and active status, enter my license number (36337) and click Search.

How can I find out whether my Texas LPC has been approved?

You can check the status of any applications you've begun or finished in the past. By selecting the "Select" button from the Main Menu next to "Check Status of Your Applications. You can check your applications' status, the type of license they were submitted for, when they were submitted, and more here.

How frequently must you renew your Texas LPC license?

A license holder must renew their license(s) every two years. Licensees are sent a postcard reminder at least 30 days before their renewal date to inform them that they need to renew their license.

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the driving force behind marketing channel decisions should be group of answer choices cost reduction. customer satisfaction. convenience. environmental concerns. quality.

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The driving force behind marketing channel decisions should primarily be customer satisfaction. While cost reduction, convenience, environmental concerns, and quality are all important factors.

Marketing channels exist to connect businesses with customers and deliver value to them. By prioritizing customer satisfaction, businesses can ensure that their marketing channels are designed to meet customer needs, preferences, and expectations effectively. This includes factors such as providing convenience, delivering quality products and services, and addressing environmental concerns. Ultimately, by focusing on customer satisfaction, businesses can build strong relationships, loyalty, and long-term success in the marketplace.customer satisfaction is paramount.

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Which of the following must always be true as the quantity of output increases? a. Marginal cost must rise. b. Average total cost must rise. c. Average variable cost must rise. d. Average fixed cost must fall.

Answers

If the marginal cost increases as production increases, this may indicate that the greater input resources utilised to achieve the higher output were not used as effectively.

Input-output resources: what are they?

Management resources are the inputs that go into business management. They consist of assets, investments, information, and people. Sales, profitability, market share, and other measures are examples of the outcomes of effective business management. These measures and their variations are used to assess management performance. The foundation for I-O analysis is provided by input-output tables. All economic sectors' supply chains are quantified in these tables' rows and columns of data. The headers of each row and column list the industries. Each column's data shows the number of inputs that were utilised.

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What type(s) of compensation may be included in a human resource compensation system?

A. Indirect financial compensation

B. Non-Financial Compensation


C. Financial Compensation


D. Financial and non-financial compensation

Answers

C. Financial compensation

Economies of scale mean that firms can be so large they can ___ and limit competition.



A) have better marketing campaigns



B) produce at a higher cost



C) produce at a lower cost



D) get major exemptions from the government

Answers

The correct option is D. Economies of scale mean that firms can be so large they can get major exemptions from the government and limit competition.

Due to production efficiency, businesses achieve economies of scale, which are cost advantages. For businesses to attain economies of scale, production must increase and costs must decrease. This occurs as a result of the cost being spread across a wider variety of goods. The existence of both variable and fixed costs is plausible.

Businesses profit financially from economies of scale as production is becoming more productive since expenses can be spread across a greater variety of products.

Size affects a company's ability to take advantage of economies of scale; larger companies will create more products while preserving more money. Economies of scale might be internal or external. Internal economies are influenced by circumstances within a certain firm, whereas external reasons have had an effect on every industry.

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A series of cash flows starts from Year 1 and continues every year to Year 20 with an equal amount of $200 per year, except in Year 15 when the cash flow is $100 only. What is the equivalent future value at Year 20 for this series of cash flows in the annul rate is 10%?
a. 12432
b. 10048
c. 11294
d. 9698

Answers

The equivalent future value at Year 20 for this series of cash flows is approximately $10,894.51.

To calculate the equivalent future value at Year 20 for this series of cash flows, we can use the formula for the future value of an annuity:

FV = PMT * [(1 + r)^n - 1] / r

Where:

FV is the future value

PMT is the payment per period ($200 per year, except $100 in Year 15)

r is the annual interest rate (10% or 0.10)

n is the number of periods (20 years)

For the first 14 years, the payment is $200, and for the 15th year, the payment is $100. From the 16th to the 20th year, the payment is again $200.

Let's calculate the equivalent future value:

FV = (14 * $200) * [(1 + 0.10)^14 - 1] / 0.10 + $100 * (1 + 0.10)^14 + (5 * $200) * [(1 + 0.10)^5 - 1] / 0.10

FV = $2,800 * [1.10^14 - 1] / 0.10 + $100 * 1.10^14 + $1,000 * [1.10^5 - 1] / 0.10

FV ≈ $10,894.51

Therefore, the equivalent future value at Year 20 for this series of cash flows is approximately $10,894.51.

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why was the expansion of railroads significant to the growth of the cattle industry?

Answers

More cow towns were built in the West as railroads made it easier to transport a large number of cattle. Cattle from the east could be transported west via railroads and fed the region's expanding population.

What exactly is the cattle industry ?

The production, management, slaughter, and sale of meat, dairy, and other products derived from cattle, such as hides, are all parts of the multi-billion dollar cattle industry in the United States. Any bovine animal—cows, buffalo, bison, etc.—is referred to as a cattle.

The national cattle herd ended its seven-year liquidation on January 1, 2014, with 88.2 million cattle and calves—the lowest herd size since 1952. The herd of cattle has increased ever since, reaching a peak of 94.8 million head in 2019. The herd has decreased by 3% to 91.9 million cattle heads as of January 1, 2022.

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Under PPO, which of the following in-network specialists would a referral be required?

A. None of these
B. Neurologist
C. Dermatologist
D. Cardiologis

Answers

Answer:

A) none of these

Explanation:

Hope this helps you have a nice :)

A. None of Them Work
Hope this helped<3

Which "unwritten" skill did the Harvard Business Review consider essential to being promoted on the job?

Answers

The skill that's considered essential to being promoted on the job is strategic thinking.

What is strategic thinking?

Strategic thinking simply means a form of critical thinking. It simply has to do with seeing the bigger picture.

It is an unwritten skill that the Harvard Business Review consider essential to being promoted on the job. It's about putting thoughts to action.

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Which is an example of a small business showing social responsibility to individuals within the company?
A. starting an office recycling program
B. developing sustainable business practice
C. donating money to local organizations
D. allowing employees to work from home

Answers

Starting an office recycling program, developing sustainable business practice and donating money to local organizations are examples of a small business showing social responsibility to individuals within the company.

Company have a social responsibility to the communities in which they operate. This includes ensuring that they are good corporate citizens, providing support for local causes and charities, and protecting the environment.

Sustainable business is a term that is often used to describe businesses that are environmentally friendly or that have a positive social impact.

Hence, the correct options are "A, B & C".

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what is the purpose of the international monetary fund and the world bank

Answers

The International Monetary Fund (IMF) and the World Bank are two of the most prominent international organizations tasked with promoting economic growth and development worldwide.

The IMF primarily focuses on maintaining financial stability in the global economy by providing loans to member countries experiencing balance of payments difficulties. The organization also provides policy advice and technical assistance to help countries manage their economies more effectively.



On the other hand, the World Bank primarily aims to reduce poverty and support economic development by providing loans, grants, and other forms of financial and technical assistance to member countries. The World Bank works with governments, private sector entities, and civil society organizations to support projects that promote sustainable development and social inclusion.


Both the IMF and the World Bank play crucial roles in maintaining economic stability and promoting development worldwide. While their mandates and areas of focus may differ slightly, both organizations are committed to addressing economic challenges and fostering sustainable growth in a rapidly changing global economy.

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It Takes a Village!
Required Materials
Word processing software
Have you ever heard of an all-inclusive vacation? There are some resorts that offer everything—hotel, food, entertainment, and tours. What about the huge floating resorts that many have found appealing—cruises? To make these operations run smoothly and allow guests to have the best getaway experience they can, many different jobs are required. Most of these jobs can be found in the career clusters we learned about in our unit.

In this activity, you will pick one type of all-inclusive vacation. Research an example of the vacation destination you have in mind and list the amenities that are offered. See if you can identify at least two careers from the Arts, AV Technology & Communication Cluster and two from the Hospitality & Tourism Cluster that all work together in this resort. For each one of your four careers, take a few minutes to research more about the role they play, as well as what a person would need to do to get started in this career path. Let's consult our handy reference, the Bureau of Labor Statistics' Occupational Outlook Handbook, once again to find more information. This time check out the headings “How to Become One,” “Pay,” and “Job Outlook” for each career you choose.

Once you have gathered the career information on the professionals you might find in your all-inclusive resort, it’s time to put your research to use. You will create a flyer for your resort, introducing guests to each person who will play a part in making their stay memorable. On your flyer, include a name (you can make one up) and title for each person. Explain in one paragraph under their name a little bit about what they do at the resort. Under that paragraph, include a paragraph with a quick (imaginary) biography that showcases the person’s education and career path.

Do your best to make your flyer fun and appealing so that guests will immediately feel right at home, knowing that their vacation is in the hands of some of the best professionals in the business!

Your flyer should include the following elements:

Employees who represent two careers from the Arts, AV Technology & Communication Cluster
Employees who represent two careers from the Hospitality & Tourism Center
One paragraph under each explaining the job duties of the employee
One paragraph under each with a short bio of the employee

Answers

These are the flyers about the all-inclusive vacation employees:

Lucy Adams

She's the singer of our cruise! You will enjoy her beautiful voice every night of your holiday and have a great time listening to the best songs you can think of!

Lucy is a professional singer who sings in three different languages: English, Spanish and Italian. She's the best one out here in the sea! Don't miss her!

Tom Díaz

He's the chief animator of our cruise! He's the one in charge of making you have your best vacation! You will laugh with his jokes and enjoy the day next to the pool playing games with him and the rest of the amazing team.

Tom has been working in the entertainment industry for many years now. He is a comedian so he will know how to make you laugh!

Penelope Smith

She's the best tourist guide in this cruise! She can explain to you what you do in the places where the cruise stops. You can't miss her recommendations!

Penelope has studied tourism and she knows how to make your trip the best one! She has been to all the places we will visit with the cruise so you can ask her for advice whenever you need.

John Harries

He's the best chef you can find! You can find John in the purple restaurant where you can try the best food you have ever eaten. He specializes in pasta, so you can't miss the Italian night in the cruise!

John is a professional chef with many years of experience on board. He has lived many years in Italy where he learnt everything about the culture and flavors that he applies to his dishes.

How do you solve writing exercises?

To complete writing exercises in English, you have to do a research of the topic you are going to write about first. In this case, you have to select four jobs that are available to do in all-inclusive holidays and then write flyers with specific information about the people who do these jobs.

In writing exercises, it is important to use key words and organise your information so it is easier for the reader to understand.

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Tammy is the owner of British Brushes. Due to the price of paint, she has to raise the prices of her painting classes. What curve is affected and what determinant caused this change?
a. The Supply Curve shifted to the Left because the cost of inputs increased.
b. The Demand Curve shifted to the Right because of the change in consumer income
c. The Supply Curve shifted to the Right because the cost for new technology decreased

Answers

B will be the correct answer hope I helped

In a condition where Tammy has to increase the prices for her painting classes, the supply curve will show a shift to the left because the input costs also saw a rise. Therefore, the option A holds true.

What is the significance of input costs?

Input costs can be referred to or considered as costs that are associated with the production of goods or services for a firm in the economy. A business can not grow or sustain without incurring input costs. When input costs for a firm increase, the supply curve of an economy shifts to the left.

In the above condition, when prices of paint increase, it also leads to an increase in the input costs for Tammy, and as a result of the same, the supply curve shows a shift towards the left.

Therefore, the option A holds true and states regarding the significance of input costs of British Brushes.

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the two categories of cost comprising conversion costs are

Answers

Answer:

Explanation:

Direct labor and factory overhead

what likely effect will a new tariff have on the price of an imported product

Answers

\(⇒\)

Tariffs increase the prices of imported goods. Because of this, domestic producers are not forced to reduce their prices from increased competition, and domestic consumers are left paying higher prices as a result.

A relevant cost ______. Multiple select question. differs between alternatives is always an opportunity cost pertains to the future will not influence a decision

Answers

Answer:

pertains to the future

differs between alternatives

Explanation:

Relevant cost can be regarded as term in managerial accounting which gives details of incurred avoidable costs when there is a process of decision making in Businesses, with the Relevant cost process unnecessary data are eliminated. It should be noted that A relevant cost is pertains to the future and differs between alternatives

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Can someone tell me how to do this? This is so confusing to me. Most of the aerobic respiration of a cell takes place in which structure?A chloroplast B lysosome C vacuole D mitochondria When is it most appropriate to send an automatic reply? Check all that apply.when you are at the office and available during normal hourswhen you are out of the office and want to let all senders knowwhen you are on a lunch break and want to let all senders knowwhen you are going on vacation and want to let all senders knowwhen you only want to respond to senders within the organizationwhen you only want to respond to senders outside the organization Do you think the conflict in Ukraine will likely drag on for months? Explain your answer. Detention of colorism and example of the term ? How effective are the activist organizations UFWOC, La Raza Unida and AIM in improving equality for their ethnic groups? Y 9.9 = 6.4What are the steps to solve this and the answer Pls help!! Ill give brainlist can you help me with this please a channel of distribution: group of answer choices is any series of firms or individuals who participate in the flow of goods and services from producer to consumer or final user. is only needed when products must be stored. must include one or more intermediaries. 1. A roller coaster car rapidly picks up speed it as it rolls down a slope. As it startsdown the slope, its speed is 4 m/s. But 3 seconds later, at the bottom of theslope, its speed is 22 m/s. What is its average acceleration? name this slope please Scalping and other black market activities arise when A. the quantities of goods demanded and supplied are allowed to adjust to their equilibrium levels. B. the prices of goods are restricted to levels below equilibrium prices. C. the prices of goods are restricted to levels above equilibrium prices. D. the prices of goods are allowed to adjust to their equilibrium levels. According to the law of? demand, other things being? equal, A. when the price a good goes? up, then people buy less of that good. B. when the price a good goes? up, then people buy more of that good. C. when? people's income goes? up, then they buy more of a good. D. when? people's income goes? up, then they buy less of a good. Solve the equation 2x + 2x +2 = 4x + 2 Use the map to help you choose the word or phrase that best completes each sentence from the drop-down menus. The ancient Egyptian civilization was concentrated along the Nile River . Most people lived in the Nile River delta . Others lived in towns and cities to the south . Very few people lived in the deserts Which graph best represents the information in the table?1: Graph A2: Graph B3: Graph C Make an algorithm that calculates the arithmetic average of a student's three grades and shows, in addition to the value of the student's average, the message "Approved" if the average is equal to or greater than 6, or the message "Failed" otherwise. A certain population follows a Normal distribution, with mean and standard deviation = 2.5. You collect data and test the hypothesesH0: = 1, Ha: 1You obtain a P-value of 0.072. Which of the following is true?A.A 90% confidence interval for will exclude the value 1.B.A 90% confidence interval for will include the value 0.C.A 95% confidence interval for will exclude the value 1.D.A 95% confidence interval for will include the value 0. Which of the following is NOT true of the crack cocaine epidemic in the 80s?a)Addicts were widely described as "thugs" or "criminals" and were blamed or the violence caused by crack cocaineb)The government responded by investing more money in the police, building more prisons, and giving addicts and drug dealers harsher criminal sentencesc)The government implemented helpful treatment programs for addicts, who were seen as victimsd)The majority of crack cocaine users were black a condition of profound unconsciousness with no reasonable hope for improvement is known as