Answer:
D. By checking the version history.
Explanation:
The teams should always check the version history of the document so as to know whether they're accessing the latest copy of the document on the organization's server.
In Computer science, version history gives all the necessary information about when a document or software application was developed, modified and/or published, along with the names of people who edited that version.
To check the "version history" of a document, you open the file; click on File in the menu tab; select Info>>>Version history.
What is one purpose of foreign aid?
O
A. To create a colonial relationship
B. To stabilize a foreign currency
O
C. To alleviate poverty or suffering
O
D. To retaliate against trade barriers
The purpose of foreign aid is C. To alleviate poverty or suffering.
What is Foreign aid?Foreign aid serves as international movement of money or services to help another country.
It usually comes from from governments or international institutions for the benefit of the citizens.
Therefore, Foreign aid is been designed to help other countries when they are in need of help, whether when they are experiencing war or economic turbulence.
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The purpose of foreign aid is to alleviate poverty or suffering.
Explanation:The purpose of foreign aid is to alleviate poverty or suffering. Foreign aid is provided by one country to another country or organization to help improve the quality of life and meet the basic needs of the people in the receiving country. It can involve financial assistance, technical support, humanitarian aid, or other forms of assistance.
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Domino's pizza claims that its mean delivery time has a mean of at most 30 minutes. A random selection of 16 delivery times was found to have a mean of 28.5 minutes and a standard deviation of 3.5 minutes.
a) What assumption(s) do you need to conduct a hypothesis testing on this problem?
b) Assume this assumption(s) in (a) is satisfied, and check if there is enough evidence to support their claim at the 0.01 level of significance.
Answer:
a) Check Explanation
b) The p-value obtained is greater than the significance level at which the test was performed, hence, there isn't enough evidence to support the claim and conclude that the mean delivery time for Domino's Pizza is less than 30 minutes.
Explanation:
a) The assumptions required to conduct a suitable t-test about a mean include
- The data must be obtained from a random sample of the whole population (simple random sample).
- Individual sample data values are expected to be independent of one another.
- The sampling distribution should be normal or approximately normal.
b) For hypothesis testing, the first thing to define is the null and alternative hypothesis.
The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.
While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.
For this question, we want to investigate if the mean delivery time for the Domino's Pizza is truly less than 30 minutes.
Hence, the null hypothesis is that there isn't enough evidence to conclude that the mean delivery time for Domino's Pizza is less than 30 minutes. That is, the mean delivery time for Domino's Pizza is greater than 30 minutes.
The alternative hypothesis will now be that there is significant evidence to conclude that the mean delivery time for Domino's Pizza is less than 30 minutes.
Mathematically,
The null hypothesis is given as
H₀: μ ≥ 30 minutes
The alternative hypothesis is given as
Hₐ: μ < 30 minutes
To do this test, we will use the t-distribution because no information on the population standard deviation is known
So, we compute the t-test statistic
t = (x - μ)/σₓ
x = sample mean = 28.5 minutes
μ₀ = The standard we are comparing against = 30 minutes
σₓ = standard error = [σ/√n]
σ = Sample standard deviation = 3.5 minutes
where n = Sample size = 16
σₓ = [3.5/√16] = 0.875
t = (28.5 - 30) ÷ 0.875
t = -1.71
checking the tables for the p-value of this t-statistic
Degree of freedom = df = n - 1 = 16 - 1 = 15
Significance level = 0.01
The hypothesis test uses a one-tailed condition because we're testing only in one direction.
p-value (for t = -1.71, at 0.01 significance level, df = 15, with a one tailed condition) = 0.053932
The interpretation of p-values is that
When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.
So, for this question, significance level = 0.01
p-value = 0.053932
0.053932 > 0.01
Hence,
p-value > significance level
This means that we fail to reject the null hypothesis & say that there isn't enough evidence to conclude that the mean delivery time for Domino's Pizza is less than 30 minutes.
Hope this Helps!!!
What is diversification?
Answer:
Diversification is the process by which a company starts offering new products and enters a new one through corporate acquisitions or by investing directly in new businesses.
brand x batteries have a mean life span of 102 hours, with a standard deviation of 6.8 hours. brand y batteries have a mean life span of 100 hours, with a standard deviation of 1.4 hours. complete each of the sentences.
about 68% of brand x’s batteries have a lifespan between ____ and ____ hours. about 68% of brand y’s batteries have a lifespan between _____ and _____ hours. the life span of brand _____’s battery is more likely to be consistently close to the mean.
Answer:
about 68% of brand x’s batteries have a lifespan between 95.2 hours and 108.8 hours. about 68% of brand y’s batteries have a lifespan between 98.6 hours and 101.4 hours. the life span of brand y’s battery is more likely to be consistently close to the mean.
Explanation:
According to the empirical rule (68–95–99.7 rule) for a normal distribution, 68% of the data falls within the first standard deviation (μ ± σ).
Given for brand x, mean (μ) = 102 hours and standard deviation (σ) = 6.8 hours.
first standard deviation (μ ± σ) = 102 ± 6.8 = (95.2, 108.8)
about 68% of brand x’s batteries have a lifespan between 95.2 hours and 108.8 hours.
Given for brand y, mean (μ) = 100 hours and standard deviation (σ) = 1.4 hours.
first standard deviation (μ ± σ) = 100 ± 1.4 = (98.6, 101.4)
about 68% of brand x’s batteries have a lifespan between 98.6 hours and 101.4 hours.
Since the standard deviation of brand y is smaller than that of brand x, brand y battery is more likely to be consistently close to the mean
The lifespan of about 68% of brand x’s batteries is between 95.2 hours and 108.8 hours, and The lifespan of about 68% of brand y’s batteries is between 98.6 hours and 101.4 hours. The life span of brand y’s battery is more likely to be consistently close to the mean.
What is a battery?A battery is a device that stores chemical energy and converts it to electrical energy. Seven different components make up a typical household battery: container, cathode, separator, anode, electrodes, electrolyte, and collector.
The chemical reactions in a battery involve the flow of electrons from one material (electrode) to another, through an external circuit. The flow of electrons provides an electric current that can be used to do work.
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Which of the following is the market structure of the media industry?
O A. Pure competition.
O B. Monopolistic competition.
O C. Oligopoly.
O D. Monopoly.
Answer: Oligopoly
Explanation:
Oligopoly is the market structure for the media industry. Thus, the correct answer is option (C).
What is oligopoly market structure?A market structure known as an oligopoly occurs when a few large sellers or manufacturers control a sizable portion of a market or an entire sector. Oligopolies frequently arise from the goal to maximize profits, which can result in corporate collaboration.
In the past, oligopolies have existed in the steel industry, the oil industry, the railroad industry, the tyre industry, grocery store chains, and the wireless industry. An oligopoly can prevent new competitors from entering the market, stifle innovation, and raise prices, all of which are detrimental to consumers.
Instead than collecting prices from the market, companies in an oligopoly determine pricing, whether collectively in a cartel or under the direction of one enterprise.
Therefore, the market structure of the media industry is Oligopoly.
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Harold is an aspiring entrepreneur. He has asked all his professional contacts for some advice. After hearing out all the suggestions, Harold has
decided to enter a franchise contract with a well-known manufacturing business and sell its products as a dealer. Which of the following could
be a good reason for Harold's decision?
O A. Harold does not want to put in any efforts to run a business.
OB. Harold wants to ensure that he never runs into losses.
OC. Harold wants to benefit from the franchisor's advertising expertise.
OD. Harold does not want to make any investments at all.
Answer:
C. Harold wants to benefit from the franchisor's advertising expertise.
Explanation: Expertise is the most important consideration of the choices listed.
Answer:C
Explanation: Plato
What bone is the most common break
Answer: The collarbone
Explanation: otherwise known as the clavicle, is the most commonly broken bone, thanks in large part to where it's positioned. Located between the shoulder blade and upper ribcage, it attaches the arm to the rest of the body.
Hoped this helped!!!!!
What is a hypothesis?
O
A. A small group of people who gather to answer questions
O
B. A starting assumption to test with research
O
C. The part of a total population that a study measures
O
D. Data collected specifically for the researcher's own study
Answer: B. A starting assumption to test with research
A small group of people who gather to answer questions is a hypothesis. Hence, option A is correct.
What is hypothesis?A hypothesis is a tested assertion about the relationship between two or more variables or a theory put up to explain an observed occurrence in a scientific environment.
The following are some illustrations of hypothesis assertions: A dog given garlic regularly won't get fleas if it repels them. Candy eaters might be more likely to have cavities if sugar causes them. If UV radiation may hurt the eyes, perhaps this light can cause blindness.
A research hypothesis is a statement of expectation or prediction that will be examined through research. Simple hypothesis is one example of a hypothesis. complicated theory direction-based theory.
Thus, option A is correct.
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What is a periodic report?
O A.
a report that describes a company's hiring or promotion procedures
OB.
a report that gives a brief summary of an article on marketing strategies
C.
a report about the status and future plans of a construction project
OD. a report about a company's achievements and work during the past three months
Answer:
OD.a report about a company's achievements and work during the past three months
Answer:
D
Explanation:
What banks have a fixed mortgage rate?
Answer:
First Bank has fixed mortgage for now
Most banks offer fixed-rate mortgages. These types of loans maintain the same interest rate throughout the life of the loan, unlike adjustable-rate mortgages which fluctuate with market interest rates.
Explanation:Most banks and financial institutions offer fixed-rate mortgages to their clients. A fixed-rate mortgage has the same interest rate for the entire term of the loan which could be 15 or 30 years. Unlike an adjustable-rate mortgage, a fixed-rate mortgage does not fluctuate with changes in market interest rates.
If inflation falls unexpectedly by 3%, the effect on a homeowner with a fixed-rate mortgage would be nonexistent in terms of their mortgage repayment because the interest rate would not change. However, if a homeowner has an adjustable-rate mortgage, their rate should theoretically fall by the same amount as inflation to maintain the real interest rate.
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Which of the following phrases might be useful in writing the purpose statement for your formal report? Check all that apply.
The research team establishes
We establish
This report investigates
The team’s findings will be established
Answer:
a b and c
Explanation:
The phrases might be useful in writing the purpose statement for your formal report are - The research team establishes ,We establish, This report investigates. The appropriate response is statement a, b, c.
What is a formal report?An official report that includes the thorough information, analysis, and data needed to make business choices is referred to as a formal report. Typically, the goal of this report is to address a problem. Formal reports can be, for instance: Report on Inspection. Report on Safety
Informative reports and analytical reports are the two types of formal reports. The informational report collects data and evidence that are then used to make judgments. The analytical report provides recommendations to resolve an issue in addition to the same information included in the informational report.
The purpose, scope, of the report are announced in the purpose statement. It informs the reader about what to anticipate from the piece and its special focus.
Hence, the appropriate response is statement a, b, c.
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Look at the picture, which one is the correct answer?
Regard to ordinary dating method discounts were a 2/10 option is provided if no net is mentioned then________ the is the net payment and date based on common practice?
A.15
B.20
C.30
D.45
In ordinary dating method terms, if no net is mentioned with a 2/10 option, it's common practice to assume a net payment period of C)30 days after the invoice date.
Explanation:If no net is mentioned with regard to an ordinary dating method where a 2/10, n/30 option is provided, the common practice is to assume that the net payment date is 30 days after the invoice date. This is because the 'n' in such terms represents 'net' and unless specified otherwise, the net period is typically 30 days. This means the buyer can take a 2% discount of the invoice price if they pay within 10 days, otherwise, the full invoice price is due 30 days after the invoice date.
In the United States, the cost of the correctional system is over $34 billion dollars each year.
A.True
B. False
Answer:
False
Explanation:
Answer:
true
Explanation:
A professor of statistics claimed that the average amount of money a typical college
student spends per day during social distancing at home is over $70. Based upon
previous research, the population standard deviation is estimated to be $17.32. The
professor surveys 35 students and finds that the mean spending is $67.57. Is there
evidence that the average amount spent by students is less than $70? State hypotheses,
calculated value, critical value at a = 0.1
the professor wants to know wether the sample mean 67.57 is high enough.
Answer:
We fail to reject the Null hypotheses that the average amount of money a typical college student spends per day is less than $70.
Explanation:
A professor of statistics claimed that the average amount of money a typical college student spends per day during social distancing at home is over $70.
Based upon previous research, the population standard deviation is estimated to be $17.32.
The professor surveys 35 students and finds that the mean spending is $67.57.
Is there evidence that the average amount spent by students is less than $70?
For the given problem the Null hypotheses is that the average amount of money a typical college student spends per day is less than $70.
[tex]H_0= \mu <70[/tex]
For the given problem the Alternate hypotheses is that the average amount of money a typical college student spends per day is over $70.
[tex]H_1= \mu >70[/tex]
The test statistic is given by
[tex]z = \frac{\bar{X}-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
Where X_bar is the sample mean spending that is $67.57, μ is the average population spending that is $70, σ is the standard deviation that is 17.32 and n is the sample size that is 35.
[tex]z = \frac{67.57-70}{\frac{17.32}{\sqrt{35} } }\\\\z = \frac{-2.43}{ 2.927}\\\\z = -0.83[/tex]
The p-value corresponding to the z-score of -0.83 at significance level 0.10 is found to be
p-value = 0.2036
Since 0.2036 > 0.10
We fail to reject the Null hypotheses that the average amount of money a typical college student spends per day is less than $70.
Some credit card companies are making credit scores available to all of their customers on their monthly statements. What impact would you expect to see as a result of this change?
Answer:
Customers would be able to see their credit score every month now and they could always try to keep their score very high.
Explanation:
For example, they would try to to make their credit score go up because high credit scores means more benefits. They would be able to check their credit score much more often because of this reason.
Credit card companies providing credit scores on statements likely increases financial awareness and responsible behavior among consumers, while improving transparency and trust with the credit card provider.
Explanation:The inclusion of credit scores on monthly statements by some credit card companies could have various impacts. For one, it could make customers more aware of their credit status, potentially influencing their spending and payment behaviors. Seeing one's credit score regularly could encourage a cardholder to maintain or improve their score by managing their finances more effectively, such as paying off balances on time and keeping their credit utilization low. Moreover, access to this information may motivate consumers to learn more about how credit scores work and the importance of maintaining good credit, leading to financially responsible behaviors. Lastly, this move could also foster a sense of trust and transparency between credit card companies and their customers, as it provides a valuable personal finance tool directly in the statements.
John is a sole proprietor of a small advertising firm. He monitors most of the business’s main activities. He has employed around 15 employees in his creative team. The other day, two of his employees were involved in a conflict over an idea during a brainstorming session. John had to step in, hear out both arguments, and help the two teammates sort out their differences. In this example, which business function do John’s actions fall under?
A.
finance
B.
customer service
C.
production
D.
Human Resources
Answer:
Option D.
Explanation:
Human resources is a term that is used in referring to the people who are employed by a company or the department in a company which is in charge of hiring, training, benefits and records.
In other words, human resources is used to describe the people who constitute the workforce of an organization or industry.
Therefore, in the scenario presented above, John stepping in to resolve the conflict between his workers will fall under human resources because John is dealing with the workforce in his advertising firm.
Answer:its c
Explanation:
Which of the following expenses is a fixed expense?
electricity
gym membership
groceries
entertainment
Answer:
Gym Membership
Explanation:
Expenses for electricity, groceries, and entertainment can all fluctuate based on how utilized they are. However, a gym memberships is established at a certain price regardless of how often it is taken advantage of. For example, an avid weightlifter who works out everyday and a busy college student who goes once a week would pay the same price for the membership.
Answer:
gym membership
Explanation:
Which part of Suarez Farms represents the capital invested in the business?
fifty acres of farmland on which crops grow
farming skills of the Suarez family and hired workers
farm equipment the Suarez family owns
leadership of the farm's owners
The part of Suarez Farms represents the capital invested in the business are farm equipment the Suarez family owns. Thus, option (c) is correct.
What is business?The term “business” refers to earning a profit. The business is taking the risk and earning the profit. The business is mainly focused on the activities of the creation, distribution, and selling of concepts. The businesses are interested in the investment as a future perspective.
The business was the based on the assets and the liabilities as the growth of the business as the focuses on the capital invested as the long period of the time and the rises the value of the assets in the business. Suarez family owns farm equipment as the capital invested used in the cultivation and the increase efficiency and productivity.
As a result, the Suarez Farms represents the capital invested of the farm equipment in the business. Therefore, option (c) is correct.
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An independent gas station sits beside a busy highway. Half of its customers are travelers passing through the area. On a sign in front of the gas station two price
tiers are advertised for the same grades of gasoline. Gasoline purchased with cash is 20 cents per gallon less than gasoline purchase with a credit card.
Why would the gas station charge more for purchases made with a credit card?
To offset processing fees charged by credit card companies
To protect credit card users from ID theft
To bring in more customers
To discourage the use of credit cards
Answer:
Could be the first and the last, if you are to choose more than one. If only one, I would choose the last one.
Explanation:
Answer:
It would be "To offset processing fees charged by credit card companies".
Explanation:
It wouldn't make sense to protect credit card users from ID theft, since that is taken care of at the credit card company's level.
This specific discount wouldn't necessarily bring in more customers since half the demographic is probably either cash or credit card anyway.
Lastly, credit card companies due charge fees for the use of credits cards, so a company would use this tactic out of fairness for it's customers and the profit of the business.
Which of the following describes working capital?
A. Total debt minus stockholders' equity
B. Current assets minus current liabilities
C. Cost of goods sold divided by average merchandise inventory
D. Current assets minus merchandise inventory
Working capital is a measure of a company's short-term financial health and it is defined as current assets minus current liabilities. This calculation shows how much the company has to cover its short-term liabilities, which is critical for maintaining ongoing operations.
Explanation:Working capital is an essential measure of a company's short-term financial health and operational efficiency. It is best described as current assets minus current liabilities. This calculation shows how much the company has on hand to cover its short-term liabilities and obligations, which is critical for maintaining ongoing business operations.
For instance, if a company has $50,000 in current assets and $30,000 in current liabilities, the working capital is $20,000. This means that after paying off its short-term liabilities, the company will have $20,000 left for running its daily operations.
Working capital is not defined as total debt minus stockholders' equity, cost of goods sold divided by average merchandise inventory, or current assets minus merchandise inventory.
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Working capital is the difference between a company's current assets and current liabilities, providing a measure of the company's short-term financial health. It's the funds available to cover day-to-day operations and pay off short-term debts. The other options mentioned do not accurately define working capital.
Explanation:The term 'working capital' in the field of finance and accounting refers to the difference between a company's current assets and current liabilities. This calculation is crucial as it helps determine the short-term financial health of an entity. In simple terms, working capital is the amount of money a company has available to cover its day-to-day operations, such as paying off short-term debts and purchasing inventory.
For instance, if a company's current assets amount to $500,000 and its current liabilities total $300,000, the working capital is $500,000 - $300,000, which equals $200,000. A positive working capital indicates that the company has enough assets to cover its short-term liabilities. On the other hand, a negative working capital could suggest potential financial distress.
Although the other options, such as 'Total debt minus stockholders' equity' and 'Cost of goods sold divided by average merchandise inventory' are useful in other accounting and financial contexts, they do not accurately represent the concept of working capital.
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What is a "balance brought forward?”
a. The amount of money you transfer from another checking account
b. The amount of money you will owe in the future
c. The amount of money you have from the previous statement period
d. The amount of money you used to open your account
Answer:
The answer is C
Explanation:
What kind of taxes are likely to pay for universities and police?
a local taxes
b. state taxes
c. federal taxes
d. income taxes
Please select the best answer from the choices provided
O
O O
O
Answer:
the answer is D
income taxes
The taxes are likely to pay for universities and police is b. state tax.
The following information should be considered:
state income tax is a tax that apply on income earned in that state. It is same to a federal income tax, but state income tax generally funds state budgets instead of the federal government.learn more: https://brainly.com/question/1979431?referrer=searchResults
Lashelle is reading an article about how her state became part of the United States. Which question would be best for her to ask
before reading the text?
A. Who played a part in helping the state join the Union?
B. Which states were already recognized as part of the Union?
C. What prediction can I make about when my state joined the Union?
D. How does a state gain admission into the Union?
Answer:
C.
Explanation:
True or False - Taxation is the most obvious disruption to the circular flow free market model.
Taxation is a fundamental component of modern economies and serves several purposes, such as funding government services, redistributing income and wealth, and addressing externalities. Hence the statemnet is true .
Why Taxation is the most obvious disruption to the circular flow free market model ?However, taxation does disrupt the circular flow free market model by taking a portion of individuals' income and reducing the amount of money they have available to spend on goods and services. This, in turn, affects the demand for goods and services, as well as the level of economic activity.
Moreover, taxation can also distort the incentives of individuals and businesses. For example, high taxes on certain goods may discourage people from buying them, while tax breaks for specific industries or activities may encourage investment in those areas, regardless of their economic viability.
Hence the statemnet is true .
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Tom is retired. He receives retirement income each month in the amount of $2500 as well as Social Security income in the amount of $1200. Tom owns 4 rental properties that he receives $1680 in rental income each month on each rental property. Tom has mortgage payments in the amount of $3200. His wife drives a Lexus with a $540 car payment and he drives a Buick with a $395 car payment. What is Frenchy’s debt to income ratio?
Answer:
77%
Explanation:
The formula for calculating the debt to income ratio is:
Total monthly debt/total monthly income.
Therefore, we have to calculate the total of monthly debt and monthly income first.
Monthly debt:
Mortgage payments= $3,200
Wife's car= $540
Tom's car = $395
Total = $4,135
Monthly income:
Retirement income = $2,500
Social Security income = $1,200
Rental income = $1,680
Total = $5,380
Debt to income ratio:
$4,135/$5,380
= 0.77 X 100
= 77%
What relationships does risk have to return
Answer:
See explanation below for answer.
Explanation:
The relationship that exists between risk and return can be generally said to be "the higher the potential return of an investment, the higher the risk involved".
However, there is no guarantee that a higher risk will yield a higher return. This is where diversification comes into play. It enables one to reduce the risk involved in his/her portfolio without actually sacrificing potential returns.
From the above therefore, we can see that , if you want to achieve something big or a huge return on investment, then taking a huge risk might come into play. What this means basically is that If one is not willing to take a risk, then he/ she may not get profit as well.
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EXPLAIN MC DONALDS ENGINEERING DEPARTMENT
Instances of fraud and misconduct caused the government to implement which piece of
legislation?
O
General Accepted Accounting Principles
International Financial Reporting Standards
O
Sarbanes-Oxley Act
O
Miller-Townsend Act
Answer:
The answer is Sarbanes-Oxley Act.
Explanation:
The Sarbanes-Oxley Act is a legislation that was signed into law by President Bush on the 30th of July, 2002. The purpose of the Act is to supervise the financial reporting environment for finance professionals.
The Sarbanes-Oxley Act was passed when it was discovered that there were accounting scandals at Enron, WorldCom, Global Crossing, Tyco and Arthur Andersen. These scandals caused the losses of billions of dollars of corporate and investors' money and this resulted in the lack of trust by investors in the financial markets.
7. How much will Adrian have if he allows his investment to remain in the mutual fund for 10 years?
8. How much will Clemens have if he allows his investment to remain in the index fund for 10 years?
9. How much more value does Clemens's investment generate than Adrian's in 10 years' time?
10. What about over 40 years' time
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Suppose both Adrian and Clemens invest $10,000 in a mutual fund.
Lets think of it another way so that we can see the impact of compounding on this investment. For simplicity's sake, we will assume that Adrian's rate of return is effectively 5.7% annually (7% - 1.3% fee) and Clemens's rate of return is effectively 6.8% annually (7% - 0.2% fee).
7. How much will Adrian have if he allows his investment to remain in the mutual fund for 10 years?
8. How much will Clemens have if he allows his investment to remain in the index fund for 10 years?
9. How much more value does Clemens's investment generate than Adrian's in 10 years' time?
10. What about over 40 years time?
Answer:
7. Adrian's amount = $17,408
8. Clemens's amount = $19,306
9. Difference in amount after 10 years = $1,898
10. Difference in amount after 40 years = $47,114
Explanation:
7. How much will Adrian have if he allows his investment to remain in the mutual fund for 10 years?
Adrian will have a amount given by
[tex]A = P\times(1+r)^{n}[/tex]
Where P is the invested amount, r is the annual rate of return and n is the number of years.
Here P = 10,000, r = 0.057, n = 10
[tex]A = 10,000\times(1+0.057)^{10}\\\\A = 10,000\times 1.7408\\\\A = \$17,408[/tex]
8. How much will Clemens have if he allows his investment to remain in the index fund for 10 years?
Clemens will have a amount given by
[tex]A = P\times(1+r)^{n}[/tex]
Here P = 10,000, r = 0.068, n = 10
[tex]A = 10,000\times(1+0.068)^{10}\\\\A = 10,000\times 1.9306\\\\A = \$19,306[/tex]
9. How much more value does Clemens's investment generate than Adrian's in 10 years' time?
[tex]\text {Difference} = \$19,306 - \$17,408 = \$1,898[/tex]
Therefore, Clemens's investment generate $1,898 more as compared to Adrian's in 10 years time period.
10. What about over 40 years time ?
Adrian's amount:
Here P = 10,000, r = 0.057, n = 40
[tex]A = 10,000\times(1+0.057)^{40}\\\\A = 10,000\times 9.1833\\\\A = \$91,833[/tex]
Clemens's amount:
Here P = 10,000, r = 0.068, n = 40
[tex]A = 10,000\times(1+0.068)^{40}\\\\A = 10,000\times 13.8947\\\\A = \$138,947[/tex]
[tex]\text {Difference} = \$138,947 - \$91,833 = \$47,114[/tex]
Therefore, Clemens's investment generate $47,114 more as compared to Adrian's in 40 years time period.