If $400 is invested at an interest rate of 3.5% per year , find the amount of the investment at the end of 15 years for the following compounding methods

Answers

Answer 1

To calculate the amount of the investment at the end of 15 years using different compounding methods, we can use the formula:

A = P(1 + r/n\()^(nt)\)

Where:

A = the amount of the investment at the end of the period

P = the initial principal amount ($400 in this case)

r = the annual interest rate (3.5% or 0.035)

n = the number of times interest is compounded per year

t = the number of years (15 in this case)

(a) Annually:

Since compounding is done once per year, n = 1.

A = 400(1 + 0.035/1\()^(1*15)\) = $635.18

(b) Semiannually:

Compounding is done twice per year, n = 2.

A = 400(1 + 0.035/2\()^(2*15)\) = $641.43

(c) Quarterly:

Compounding is done four times per year, n = 4.

A = 400(1 + 0.035/4)^(4*15) = $643.14

(d) Continuously:

For continuous compounding, we use the formula:

A = Pe\(^(rt)\)

A = 400e\(^(0.035*15)\) = $644.98

Therefore, the amount of the investment at the end of 15 years would be approximately:

(a) Annually: $635.18

(b) Semiannually: $641.43

(c) Quarterly: $643.14

(d) Continuously: $644.98

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Full Question ;

If $400 is invested at an interest rate of 3.5% per year, find the amount of the investment at the end of 15 years for the following compounding methods. (Round your answers to the nearest cent.) (a) Annually (b) Semiannually (c) Quarterly (d) Continuously


Related Questions

2+5=32
4 how is he 5 at the same time

Answers

Answer:

7 = 32

Explanation:

??

During the _____ stage of the Product Life Cycle, technical problems are common and the product is fine-tuned.

Answers

Answer:

introductory stage

Explanation:

Answer:

-During the INTRODUCTORY_ stage of the Product Life Cycle, technical problems are common and the product is fine-tuned.

\(hope \: it \: helps\)

In the course of the communication process, which of the given steps logically follows after the listener receives the message sent by the communicator?

Answers

Answer:

b. Interpreting the message

Explanation:

As we know that the communication process involves sender, encoding, message, receiver, decoding and feedback

After the listener received the message sent by the communicator the step that is followed is message interpreted that means how the message would be interpreted it would be the same as the sender send to the receiver or it would be in understanding in a different way

Hence, the correct option is b.

Assume the economy is operating at P1Y2.
Which of the following would cause a shift to bring the economy to P3Yf?

Real wages fall.
Productivity increases.
Personal income taxes increase.
Transfer payments decrease.
A major hurricane hits the southeastern United States.

Assume the economy is operating at P1Y2.Which of the following would cause a shift to bring the economy

Answers

The decrease in aggregate demand would also reduce productivity and lead to a decrease in output and employment.

What is employment?

Employment is an agreement between two parties, usually based on a contract, where work is exchanged for compensation, such as wages, salary, or commission. Employment is typically for a fixed period of time, and the employer usually has the right to dismiss an employee for a legitimate reason. Employment typically involves an exchange of services, knowledge, skills and experience for remuneration. Employment can be either full-time, part-time, or casual, depending on the type of job and the agreement between the employer and the employee.
A major hurricane hitting the southeastern United States would cause a shift to bring the economy to P3Yf as it would reduce aggregate demand in the affected areas, resulting in a decrease in consumption and investment spending. This would lead to a contraction in output and employment, resulting in a decrease in real wages, a decrease in transfer payments, and an increase in personal income taxes.

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A company sold the personal data of their customers to insurance cor generating revenue. After it was reported, the manager insisted that
• He has not done anything wrong • Everybody in the business is doing it • Has a duty to run a profitable operation • Revenue for the company . Express your views on the manager's comments based on: a) Relativism: b) Deontology: c) Consequentialism: d) Utilitarianism: e) The Kantian Theory:

Answers

The company selling personal data of its customers to an insurance company to generate revenue is an unethical business practice. The manager insisted that he has not done anything wrong and everybody in the business is doing it and has a duty to run a profitable operation.

The comments of the manager can be viewed based on several ethical theories, which are discussed below:a) Relativism:According to relativism, what is morally right or wrong depends on the cultural norms and values of the society. However, selling personal data of customers is not acceptable in any society or culture. Therefore, the manager's comments are not justified by relativism.b) Deontology:Deontology is based on the principle of moral duty.

The duty of the company is to protect the personal data of customers, which the company has violated. Therefore, the manager's comments are not justifiable by the deontological theory.c) Consequentialism:Consequentialism judges the morality of an action based on its outcome. .d) Utilitarianism:Utilitarianism judges the morality of an action based on its ability to provide the greatest happiness to the greatest number of people. Selling personal data of customers is not morally justifiable since it violates the privacy of the customers.

Therefore, the manager's comments are not justifiable by utilitarianism.e) The Kantian Theory:According to the Kantian theory, people should be treated as ends in themselves and not as means to an end. Selling personal data of customers for generating revenue is not justifiable since it treats the customers as means to an end. Therefore, the manager's comments are not justifiable by the Kantian theory.

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DST Company has inventory of 90 days, average collection period of 40 days and average payment period of 30 days. What is the length of the firm's cash cycle? (3 marks) Determine its cash turnover. (2 marks) If the company's annual sales are RM3 million and 80% of the firm's sales are on credit, calculate the company's accounts receivables

Answers

DST Company's inventory is 90 days, the average collection period is 40 days, and the average payment period is 30 days.

How to find?

Let us find the length of the firm's cash cycle by using the formula below:

Cash Cycle = Inventory Days + Receivable Days – Payable Days

Cash Cycle = 90 + 40 – 30

= 100 days.

Therefore, the length of the firm's cash cycle is 100 days. To determine the cash turnover, we will use the formula below:

Cash Turnover = Cost of Goods Sold / Average Cash Balance

Average cash balance = (90 + 40 - 30) / 3

= 33.33 days.

Inventory turnover = 365 / 90 = 4.06 times.

Accounts receivable turnover = 365 / 40

= 9.12 times

Payable turnover = 365 / 30

= 12.17 times.

COGS = Sales × (1 – Gross Profit Percentage)

= RM 3,000,000 × (1 – 0.6)

= RM 1,200,000.

Cash Turnover = RM 1,200,000 / 33.33

= 36 times.

If 80% of the firm's sales are on credit and the company's annual sales are RM 3 million, we can calculate the company's accounts receivables using the formula below:

Accounts receivables = (80 / 100) × RM 3,000,000 × (40 / 365)

= RM 350,685.

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The indirect approach to organizing negative messages opens with the reasons behind the bad news before presenting the bad news itself.

question 8 options:
true
false

Answers

It is a true statement that an indirect approach to organizing negative messages opens with the reasons behind the bad news before presenting the bad news itself.

What is an negative messages?

This refers to a kind of letter, memo, news that conveys negative information which will likely to disappoint, upset or anger the reader, listener etc

However, the indirect approach of organizing these negative messages opens with the reasons behind the bad news before presenting the bad news itself.

Therefore, it is a true statement.

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From the end of 2010 to the end of 2011, M1 increased from $2,006 billion to $2,311 billion. By what percentage did M1 increase?

Answers

Answer:

15.20%

Explanation:

The computation of the M1 increase is shown below:

= (M1 End of the year 2011  - M1 end of the year 2010) ÷ M1 End of the year 2010

= ($2,311 billion - $2,006 billion) ÷ ($2,006 billion)

= 15.20%

two technicians are discussing labor rates. technician a states most customers like high labor rates. technician b states most shop owners love low labor rates. who is correct?

Answers

Only Technician A is correct as floor jacks are the most common jack found in automotive shops and not the most floor jacks in shops are rated between six and eight tons as said by Technician B.

A jack is a lifting device used to apply great force or lift heavy objects. Mechanical jack uses screws to lift heavy objects. The hydraulic jack uses hydraulic power. The most common form is a car jack, floor jack or parking jack, which lifts the car to work efficiently. Jacks are usually rated for maximum lifting capacity (for example, 1.5 tons or 3 tons). Industrial jacks can be rated for tons of load.

There are two types of hydraulic jacks, the bottle jack and the floor jack. As the name implies, the bottle jack is portable and has a vertical piston with a weight bearing pad on top. Bottle jacks are often used with cars and are useful for changing tires. The jack is in the car at the correct point to raise the car, then use the detachable lever, the jack is pumped, so raise the car to change the wheel. The floor jack has horizontal pistons and long arms that provide vertical lift. Floor jacks have wheels or castors and are often found in garages. These jacks can carry heavier loads than bottle jacks.

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Complete Question:

Two technicians are discussing automotive jacks. Technician A says that floor jacks are the most common jack found in automotive shops. Technician B says that most floor jacks in shops are rated between six and eight tons. Who is correct?

Which should you finance first?
O your needs
O your wants
O your savings
O your investments

Answers

in my opinion, the last option. i would spell it out but it won’t let me lolz

it should be your investments

If you were paid $952 today, and you invested it at a 5% interest rate, how much would you have a year from now?
$900
O a
$952
b.
$985
Oc.
$1000
d
None of these
e

Answers

Answer:

Depends on if its simple or compund bu since your investing to earn, ill estimate they want the compound answer which is 999.60 which can be rounded to $1000. If they want it rounded, its $1000 if they dont, it's none of the above

Explanation:

A=P(1+r)t

A=952(1+0.05)1

A=952(1.05)1

A=952(1.05)

A=952x1.05

A=999.60 which can be rounded to 1000

Question 7 of 10
What is the main disadvantage of overdraft protection?
A. Banks usually charge a fee when it is used.
B. Banks take several days to process the transaction.
C. It keeps a check from being returned due to insufficient funds.
D. It requires customers to maintain a positive account balance.

Answers

Answer:

b because I would say in am 72% sure I am right

which economic index measures the aggregate price level in an economy and consists of a bundle of commonly purchased goods and services?

Answers

The economic index that measures the aggregate price level in an economy and consists of a bundle of commonly purchased goods and services is called the Consumer Price Index (CPI).

The Consumer Price Index (CPI) is a measure of the average price level of a basket of consumer goods and services purchased by households. It measures inflation, which is the rate at which the cost of goods and services is rising over time. The CPI is widely used as a measure of the cost of living and as an indicator of economic performance.

The CPI is calculated by taking the price of a basket of goods and services that are commonly purchased by consumers and then comparing it to the price of the same basket of goods and services in a previous period. The difference between the two prices is the rate of inflation.

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Gabriella needs copper wire to make hanging candle lanterns out of antique glass canisters. based on her previous craft projects, she feels she would find this particular type of wire at michael's, a large arts and crafts store. gabriella is relying on a(n)_____________source for her buying situation. internal external primary secondary

Answers

Based on the information provided, Gabriella is relying on an external source for her buying situation.

This is because she is seeking out a specific type of copper wire that she believes can be found at Michael's, a large arts and crafts store.

An external source refers to any information or resource that is outside of the individual themselves.

In this case, Gabriella is seeking out information from an external source (Michael's) to help her make her buying decision.

It is worth noting that Gabriella's previous craft projects may be considered an internal source of information.

This is because her previous experiences and knowledge of crafting could potentially influence her decision-making process. However, in the context of this specific situation, it seems that Gabriella's main source of information is external, as she is seeking out a specific type of product from a specific store.



Overall, Gabriella's reliance on an external source for her buying situation shows that she is actively seeking out information and resources to help her make a more informed decision.

This is a common practice for consumers, as they often look to external sources such as friends, family, and online reviews to help them make informed purchasing decisions.

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a firm acquired an assset on 1st Apri, 1990 at a cost of Le 30,000. The useful life of the asset is expected to be 10 years. The estimated scrap value of the asset at the end of the year is Le 2,000. Show the provision for depreciation account for the first 3 years in the life of the asset using the Straight line method​

Answers

Answer:

First year : Le 2100

Second year : Le 2800

Third year : Le 2800

Explanation:

Given the following :

Cost of equipment = 30,000

Useful years = 10

Salvage or scrap value = 2,000

depreciation account for the first 3 years in the life of the asset using the Straight line method :

Straight line Depreciation :

(Cost - salvage value) / useful years

First year: (April - December 1990)

April - December 1990 = 9 months

(30,000 - 2000) / 10 × 9/12

28000 / 10 × 0.75 = Le 2100

Second year:

(30,000 - 2000) / 10 × 12/12

28000/ 10 = Le 2800

Third year:

(30,000 - 2000) / 10 × 12/12

28000/ 10 = Le 2800

This is a receipt for a purchase made at a restaurant in Sacramento, California. The total cost of the food and drinks before taxes was . The buyer paid in sales tax. Based on the receipt, Sacramento has a sales tax rate of .

Answers

Answer:

Total bill = $10.00Sales tax = $0.85Sales tax rate = 8.5%

Explanation:

According to the receipt in question, the buyer paid a total bill of $10.00.

Buyer also paid a sales tax of $0.85.

The total cost of the food was $10.00 and a sales tax of $0.85 was paid.

The sales tax is based on the amount paid so the sales tax rate is the percentage of $10 that $0.85 is.

= Sales Tax / Total bill * 100%

= 0.85 / 10 * 100%

=  0.085 * 100%

= 8.5%

Answer:

1- B) $10.00

2- A) $0.85

3- B) 8.5%

Explanation:

I did it on edge and got it right

A certain element decays at a constant rate of 3% per year. If you start with 15 grams of the element, how long will it take before there are only three grams left? 0.) 54.4 years o b.) 51.8 years c.) 53.4 years d.) 52.8 years

Answers

The number of years that the element would decrease from its  initial 15 grams to 3 grams is 54.4 years

What is the appropriate formula to determine years in case of a decreasing growth rate?

When the element decreases rather increases, the number of years it takes for the element to decrease from its initial value of 15 grams  to 3 grams  determined as shown below formula based on the present value and future value

n= ln(FV/PV) / ln(1+i)  

FV=future value of the element after the decrease=3grams

PV=the initial value of the element=15 grams

i=decreasing rate of asset=3% per year

n=ln(3/15)/ln(1+3%)

n=-54.4 years(it is negative because asset value is reducing)

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Answer:

52.8

Explanation:

A certain element decays at a constant rate of 3% per year. If you start with 15 grams of the element,

If you were opening a new business, would you select a location closer to or farther away from a business that sold a similar or even identical product? Why?

Answers

Answer:

Depends on how big your business is and what you can offer.

Explanation:

If you have a business that is bigger and has more to offer than the other company i would select a closer location. If you have a smaller business and have less or an equal amount to offer mover farther away. Try comparing the two business to each other. Think of your pro's and con's.

An example of an asset is:

Answers

Answer:here

Explanation: A company lists its assets with a dollar amount on balance sheets. Assets are made up of liabilities and equity on the balance sheet.

Asset: noun
a useful or valuable thing, person, or quality.
"quick reflexes were his chief asset"property owned by a person or company, regarded as having value and available to meet debts, commitments, or legacies. military equipment, such as planes, ships, communications and radar installations, employed or targeted in military operations.

In 1911, the U.S. government sued Standard Oil, a U.S. company, for violation of antitrust laws. The company broke up into 34 smaller companies. This is an example of

Answers

In 1911, the U.S. government sued Standard Oil for violation of antitrust laws. This is an example of government intervention to break up a monopoly and promote fair competition.

The U.S. government took legal action against Standard Oil, a powerful company that dominated the oil industry at the time, because it violated antitrust laws. These laws aim to prevent business practices that hinder fair competition, create monopolies, and ultimately harm consumers. In this case, Standard Oil was accused of using anti-competitive tactics, such as price fixing and predatory pricing, to maintain its monopoly in the oil market.

To address this issue, the U.S. government filed a lawsuit under the Sherman Antitrust Act, which is a federal law enacted in 1890 to prevent and break up monopolies that restrict trade and limit competition. The lawsuit resulted in the breakup of Standard Oil into 34 smaller, independent companies. This decision was intended to increase competition in the oil industry and protect consumers from unfair business practices.

The breakup of Standard Oil serves as a prominent example of government intervention to promote fair competition and prevent monopolies. It highlights the importance of antitrust laws in regulating businesses and maintaining a healthy, competitive market for the benefit of both consumers and the economy as a whole.

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definition of trade-offs?

Answers

Answer:

Economics is all about tradeoffs. A tradeoff is loosely defined as any situation where making one choice means losing something else, usually forgoing a benefit or opportunity. We experience tradeoffs in zero-sum situations, when a plus in one area must be a negative in anothe

Explanation:

hope its helpful for if yes mark me as brilliant

PLEASE, In a paragraph of 150 words, Reflect on the critical thinking process and the steps involved. Discuss how this knowledge can or has helped you in your life and/ or your career?

For example, what do you think of the process? What did you learn from the process? Could it bring value to making decisions in your life or career? Would you use it in the future? Would you use it, or parts of it, in your everyday life? Have you used it in your everyday life? Do not write about the case itself, the decision you reached, or what you thought should or should not have happened relating to the case.

PLEASE, In a paragraph of 150 words, Reflect on the critical thinking process and the steps involved.

Answers

The critical thinking process is a systematic and logical approach to problem-solving that involves several steps, including identifying the issue, gathering and analyzing information, evaluating options, and making a decision.

How the critical thinking process helps me

The critical thinking process is a systematic and logical approach to problem-solving that involves several steps, including identifying the issue, gathering and analyzing information, evaluating options, and making a decision. As a person, critical thinking is useful to utilize this process in order to provide the most accurate and relevant responses to questions.

Personally, I find that the critical thinking process is an invaluable tool in both my personal and professional life. It has taught me to approach problems in a more organized and methodical manner, which has allowed me to make more informed and effective decisions.

Additionally, by applying critical thinking to everyday situations, I am better able to identify biases and assumptions and to evaluate arguments and evidence. Ultimately, the critical thinking process has enabled me to become a more analytical and logical thinker, and has provided me with a framework for making better decisions in all areas of my life.

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What is one advantage corporations have over other types of businesses?
O A. Corporations are the easiest businesses to set up.
B. Corporations have a nearly unlimited life span.
C. Corporations have fewer legal regulations to follow.
O D. Corporations are controlled by only one person.
SUBMIT

Answers

Answer:

B

Explanation:

ONE advantage corporations enjoy over other business forms is B. Corporations have a nearly unlimited life span.

Corporations do not cease to operate if one or some of the owners die. Each stockholder's shares are transferable by inheritance or sale. Corporations enjoy perpetual existence.

Other advantages of corporations over other business forms are:

Shareholders enjoy the protection of personal liability (limited liability of ownership)Shareholders have a business that is professionally managedThe business type has easy access to funds.

Unfortunately, corporations are not the easiest to form because of the rigid formalities accompanying their formation and management. Shareholders suffer double taxation because the corporation pays taxes as an entity, and shareholders pay another tax when they receive dividends. The legal regulations are many and time-consuming.

Thus, the unlimited life span of corporations makes them the best form of business since control and ownership of a corporation are not limited to one individual.

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Why very few subsistence economies exist today

Answers

Answer:

As previously mentioned,

subsistence markets are

extremely vulnerable to

external influences.

Because of this

vulnerability, these economies are

becoming more scarce around the

world. In the past, for example, large

populations of indigenous peoples lived

throughout North America.

Prepare a trial balance by placing amounts in the appropriate debit or credit column and determining the balance of the service revenue account

Answers

What should I prepare the trial balance from?

In two or three sentences, explain why real GDP per capita does not reflect the actual distribution of wealth.

Answers

Answer:

Real GDP per capita shows the level of output in a country divided equally by the number of people living in a country. But, in reality, output may not be distributed equally among everyone in the country.

Explanation:

A power point can only strengthen your presentation.
True or False

Answers

Answer:

True

Explanation:

because it gives mor information

True because making a PowerPoint presentation makes you look more professional when talking about a topic

Please help will mark brainliest

Please help will mark brainliest

Answers

Answer:

first b

second b

third a

Explanation:

Answer:

for the first one is b

and the second one is b

lastly last one is C

if im correct yq

Explain Jodi's self esteem throughout Tall Girl? Movie

Answers

Answer:

Poor

Explanation:

Jodi is very self-concious about her height. She thinks that it makes her different than other "normal" people among her peers, or even inferior to more feminine, smaller girls.

Answer:

Explanation:

'Tall Girl' Review: A Ridiculous Take on the Teenage Self-Love Narrative ... This week, we gave our group of interns a challenge: pick a movie from ... narrates Jodi (Ava Michelle) as she towers over a high school hallway in Tall Girl. ... Pain is relative, but Tall Girl treats Jodi's height as if it were the end-all,

A large city offers many venues for watching a concert. A listing of concert venues for the city includes the following information: the number of seats, the age of the venue, the number of nearby parking spaces, and the location of the venue (inside or outside). What are the individuals in the data set?

concert venues
seats
ages of the venue
parking spaces

Answers

Answer:

A. concert venues

Answer:

A

Explanation:

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