There are 4 servers in the checkout area. The interarrival time of customers is 2 minutes. The processing time is 5 minutes. The coefficients of variation for the arrival process and the service process are 1 and 0. 85 respectively.
1. What is the average total time a customer spends in the system?
A. 5. 0 minutes
B. 5. 5 minutes
C. 6. 0 minutes
D. 6. 5 minutes
Answers
The average total time a customer spends in the system is D. 6.5 minutes. The correct answer is option D. 6.5 minutes.
To determine the average total time a customer spends in the system, we will use the Pollaczek - Khinchine formula for the mean waiting time in a queue. The formula is:
W = (1/2) * (λ * S^2 + S) / (1 - ρ)
Where:
W is the mean waiting time in the system,
λ is the arrival rate (1/interarrival time),
S is the mean service time,
S^2 is the variance of the service time,
ρ is the system utilization (λ * service time), and
the coefficients of variation for the arrival process (Ca) and the service process (Cs) are given.
First, let's find the necessary values:
λ = 1/2 minutes (since interarrival time is 2 minutes),
S = 5 minutes (processing time),
ρ = λ * S = (1/2) * 5 = 2.5.
Since the coefficient of variation for the arrival process (Ca) is 1 and for the service process (Cs) is 0.85, we can calculate the variance of the service time (S^2) using the following formula:
S^2 = (Cs * S)^2 = (0.85 * 5)^2 = 18.0625.
Now, let's use the Pollaczek-Khinchine formula to calculate the mean waiting time in the system (W):
W = (1/2) * ((1/2) * 18.0625 + 5) / (1 - 2.5) = 6.53125 / (-1.5) = -4.354166667 minutes.
Since the waiting time cannot be negative, there might be an error in the given values or the system is not stable. However, based on the calculations, the closest answer among the given options would be:
The correct option is D. 6.5 minutes.
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Related Questions
A cat fell into a well which was 18 meters deep. It did manage to climb out, but with difficulty. For every minute of climbing upward, the cat gained 3 meters. It was then so tired it had to rest for one minute, during the rest it slid back 2 meters. How long did it take the cat to get out of the well? Please please give a step by step answer with explanation
Answers
To determine how long it took the cat to get out of the well, we'll break down the process step by step:
The cat gains 3 meters for every minute of climbing upward.
However, during each resting minute, the cat slides back 2 meters.
Let's track the cat's progress minute by minute:
Minute 1: The cat climbs up 3 meters and reaches a height of 3 meters.Minute 2: The cat climbs up 3 meters and reaches a height of 6 meters.Minute 3: The cat climbs up 3 meters and reaches a height of 9 meters.Minute 4: The cat climbs up 3 meters and reaches a height of 12 meters.Minute 5: The cat climbs up 3 meters and reaches a height of 15 meters.Minute 6: The cat climbs up 3 meters and reaches a height of 18 meters, which is the top of the well.At this point, the cat has reached the top of the well in 6 minutes.
However, we need to account for the resting minutes and the sliding back during those minutes:
Minute 7: The cat rests and slides back 2 meters, reaching a height of 16 meters.Minute 8: The cat climbs up 3 meters and reaches a height of 19 meters.Since the cat has already reached the top of the well at the end of minute 6, we can ignore minute 8. Therefore, it took the cat a total of 7 minutes to get out of the well, considering the climbing, resting, and sliding back.
Please note that this calculation assumes the cat rested immediately after climbing and didn't slide back during the climbing minutes. The process may vary depending on the cat's behavior and the actual conditions of the well.
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Act ii costumes has a quick ratio of 3.5:1, $120,000 in cash, $340,000 in inventory, and $20,000 in accounts receivable. What are its current liabilities?
Answers
Answer:
$40,000
Explanation:
Based on the given information, the current liabilities will be 40,000.
What are current liabilities?
Current liabilities are debts or obligations owed by a corporation to others that are due within one year or during the typical operating cycle of the business, whichever is longer.
To calculate the current liabilities, the formula used will be
Quick ratio = (cash + accounts receivable) / current liabilities
3.5 = Cash + accounts receivable/current liabilities
3.5 = $120,000 + $20,000 / current liabilities
current liabilities = $40,000
Therefore, the current liabilities in the given case are $40,000.
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What did the Supreme Court rule in Burwell v. Hobby Lobby with regard to the Affordable Care Act's requirement that family-owned corporations pay for insurance coverage of birth control for employees
Answers
The thing which the Supreme Court ruled in Burwell v. Hobby Lobby with regard to the Affordable Care Act's requirement was:
Birth control could be deniedWhat is a Court Ruling?This refers to the general decision which a competent law court has taken after deliberations of the evidence, witnesses and other available information of a case to the best determination of the judge.
With this in mind, we can see that from the Burwell v. Hobby Lobby case, there was a ruling against birth control access which meant that birth control could be denied to employees and this was with regard to the Affordable Care Act's requirement.
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what is the first step that individuals responsible for the development of a business connuity plan should perform.
Answers
B. The BCP process as a whole is guided by the business organization analysis, which assists the initial planners in selecting suitable BCP team members.
Consider the potential effects of each kind of disaster or risk event that your company might face as the first step in building its BCP.
What is the most vital phase in the business coherence the executives cycle?Step 1: Risk evaluation. This phase consists of:...
Step 2: of the Business Impact Analysis (BIA)
Step 3: Developing a Business Continuity Plan.
Step 4: Plan and strategy development.
Step 5: Prepare for testing and upkeep.
What is the first step in a BCP for business continuity?Understanding the critical business processes is the first step in developing a business continuity plan. Due to, for example, revenue loss, interruptions in customer service, or damage to the brand, critical business processes are essential for the company's survival.
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Full Question = What is the first step that individuals responsible for the development of a business continuity plan should perform?
A. BCP team selection
B. Business organization analysis
C. Resource requirements analysis
D. Legal and regulatory assessment
At February 1, 2022, the balance in Tamarisk, Inc. Supplies account was $3640. During February Tamarisk purchased supplies of $3120 and used supplies of $4160. At the end of February, the balance in the Supplies account should be
Answers
Answer:
$2600 left in Supplies, 4160 to Supplies Expense
Explanation:
3640+3120 = 6760
6760-4160 = 2600
A T-bill pays 6% rate of return. Would risk averse investors invest in a risky portfolio that pays 12% return with a probability of 40% or 2% return with a probability of 60%7 A) No, because the risk premium is too large to believe B) No, because they are not rewarded with a risk premium C) Yes, because they are rewarded with a risk premium D) Cannot be determined
Answers
Yes, because they are compensated for their risk as investors invest in a risky portfolio that pays 12% return with a probability of 40% or 2% return with a probability of 60%.
What exactly is a risky portfolio?
The Optimal Risky Portfolio is the portfolio on the efficient frontier with the highest Sharpe ratio return per unit of risk. Other related topics to consider include the Sharpe ratio, Efficient frontier, and Capital Allocation Line.
Risk-averse investors are generally reluctant to take on additional risk unless they are compensated for it. In this case, the risky portfolio returns 12% more than the risk-free T-bill return of 6%. This higher return is known as the risk premium, and it compensates investors for the additional risk associated with the risky portfolio.
As a result, risk-averse investors would be willing to invest in the risky portfolio because they would be rewarded with a higher return (risk premium) than a risk-free investment.
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In the army, each soldier has an assigned rank. A soldier of rank X has to report to (any) soldier of rank X + 1. Many soldiers can report to the same superior. Write a function: class Solution { public int solution(int[] ranks); } that, given an array ranks consisting of soldiers' ranks, returns the number of soldiers who can report to some superior. Examples: 1. Given ranks = [3, 4, 3,0, 2, 2, 3, 0, 0], your function should return 5, because • Three soldiers of rank 3 (ranks[0], ranks[2], ranks[6]) may report to a soldier of rank 4 (ranks[1]). • Two soldiers of rank 2 may report to any soldier of rank 3. 2. Given ranks = [4, 2, 0], your function should return 0. 3. Given ranks = [4, 4, 3, 3, 1, 0), your function should return 3, because • A soldier of rank 0 can report to a soldier of rank 1. • Two soldiers of rank 3 can report to any soldier of rank 4. Write an efficient algorithm for the following assumptions: • N is an integer within the range [2..100,000); • each element of array ranks is an integer within the range [O.. 1,000,000,000).
Answers
The problem can be solved by first counting the number of soldiers at each rank. Then, iterate over the ranks and check if there are soldiers at rank `r+1`.
If so, add the number of soldiers at rank `r` to the count of soldiers who can report to a superior. Finally, return the count.
Here's the code:
```class Solution {
public int solution(int[] ranks) {
int[] count = new int[1000000001];
for (int r: ranks) {
count[r]++;
}
int total = 0;
for (int r: ranks) {
if (count[r + 1] > 0) {
total += count[r];
}
}
return total;
}
}
```
This solution has a time complexity of O(n), where n is the length of the `ranks` array and a space complexity of O(max(rank)).
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Taeyun is retired and his sole source of income is his bond portfolio. Although he has sufficient principal to live on, he only wants to spend the interest income and thus is concerned about the purchasing power of that income. Which one of the following bonds should best ease his concerns? Multiple Choice a. 20-year coupon bonds b. 5-year TIPS c. 5-year municipal bonds d. 6-year coupon bonds e. 7-year income bonds
Answers
5-year TIPS bonds should best ease his concerns. The answer is OPTION B .
A collection of investments that are primarily made up of bonds is called a bond portfolio. Bond portfolios, which generate income in the form of coupons, are sometimes referred to as fixed income portfolios. According to the rule of 110, you should invest as much of your money in stocks as your age is times 110.
According to the 110-30 rule, if you are 30 years old, you should have 80% (110-30) of your money invested in stocks and 20% in bonds. The U.S. Treasury bill, sometimes known as a T-bill, is the safest kind of bond. These are ultrashort fixed-income instruments with maturities of one year or less that were issued by the US government.
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Please Help!!!! My 5th time posting this please actually help me!
In the workplace, new devices and technologies are transforming the way we exchange information and conduct business. List and concisely describe at least six electronic communication channels used most commonly by businesspeople today.
Answers
Answer: My answer is in the photo below. Hope it helps.
A firm has an average accounts payable of $73,763. 00, with COGS reported at $804,902. 00 for the past year. A supplier has offered the firm a large discount if they can reduce days payable to 7 days. What would be the average accounts payable if they take this discount?
Answers
By dividing the total (ending or average) accounts payable by the daily payment amount, as given in the formula, the DPO is determined (or per quarter or per month).
DPO = Cost of Goods Sold x Days x Accounts Payable
Accounts Payable (AP): This term denotes the overall state of a business's accounts payable. While some companies base their DPO calculations on the account balance at the conclusion of the relevant period, others might use the average amount of account payable for the relevant period.
Days: This refers to the number of days in the accounting period, which is either 90 days for a quarter or 365 days for an entire year.
Costs of Goods Sold (COGS): This is the price a company pays to make a product.
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For an employer, the primary advantage of classifying a worker as an independent contractor is thatindependent contractors cannot be fired at any time, unlike regular employees.the employer does not have to pay Social Security, workers' compensation, or unemployment costs.
Answers
The primary advantage of classifying a worker as an independent contractor for an employer is that they do not have to pay certain costs that are associated with regular employees. These costs include Social Security, workers' compensation, and unemployment costs. Independent contractors are considered self-employed individuals, which means they are responsible for paying their own Social Security taxes and obtaining their own workers' compensation insurance. This can be a significant cost savings for employers, especially for small businesses.
However, it is important to note that misclassifying workers as independent contractors can have serious consequences. Employers who misclassify their employees can face penalties and fines from the government, as well as lawsuits from employees seeking benefits that they were denied as independent contractors. It is important for employers to carefully consider the nature of the work and the relationship with the worker before classifying them as an independent contractor.
In summary, the primary advantage of classifying a worker as an independent contractor for an employer is the cost savings associated with not having to pay certain benefits. However, it is important for employers to properly classify their workers to avoid legal and financial consequences.
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There is not a deadline for the "T" part of the SMART goal-writing criteria.
2 points
True
False
Answers
Answer:
FALSE I know bc I just did it
Explanation:
types of environment ?
Answers
Ecosystem
Desert
Forest
Tundra
Aquatic ecosystem
active/passive she is watering the plants
Answers
Answer:
active
Explanation:
she "is" means she is currently watering the plants. if it was passive it would have been like this, "she watered the plants".
Who heads each of the branches of federal reserve banks and looks after their functioning?
Answers
Answer: The chair of the board, governors of the federal reserve system is the chief of the federal reserve which is the central banking system of the United States.
Answer:
Board of Governors
Explanation:
Which of the following statements has resulted in changes in the role of management?
A. Most workers today show little initiative or creativity, so managers must spend more time directing their efforts
B. The marketplace is becoming global, which increases both competition and opportunities for cooperation and integration
C. Firms are recognizing that their workforces are too diverse, so managers must find ways to reduce diversity without violating federal laws against discrimination
D. The desire to encourage teamwork has resulted in larger, more cumbersome organizations with too many workers
Answers
The progressive managers of today: instead of imposing discipline and order, managers today emphasize teamwork and cooperation. Hence option A and D are correct.
What is thought to be one of the most pressing issues that managers face right now?One of the biggest challenges for managers is bridging the gap between them and their employees through efficient and timely communication. Because they have a big impact on their team's success, good managers need to improve their listening and speaking skills.
In what ways has management's role evolved over time?In today's world, managers must ensure that two to three people are waiting in line for each seat and that the right people are on the bus at the right time, in the right seats, with the right skills, at the right cost, with the right performance, and with the right level of engagement.
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Imagine you are in charge of purchasing for a large business. What qualities would you look for when selecting suppliers? Describe at least three qualities and explain why each is important.
5 sentences
Answers
Before choosing a supplier, it's crucial to check off the following vital boxes: communication, cooperation, profile data, cost, and supplier quality.
What is supplier?A supplier in business is a person or a company that provides retailers and distributors with high-quality products and services from manufacturers at competitive prices. Deliverables from them come in the form of raw materials, which manufacturers then transform into finished goods that are ready for sale. Anyone who provides, sells, offers or exposes for sale, leases, distributes, or installs any biological or chemical substance or any plant to be utilized at a place of employment is referred to as a supplier.The materials' transportation is handled by suppliers. A business cannot consistently provide its own customers with high-quality goods or services if it does not have strong relationships with its suppliers.It doesn't necessarily follow that a supplier can deliver on their claims for mass production just because they show you a few excellent product samples.Learn more about suppliers here:
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a business that has too little working capital can take what action?
Answers
A business with too little working capital can take several actions to improve its financial situation:
1. Increase sales: By boosting sales through marketing strategies or improving products, the business can generate more revenue and improve its working capital.
2. Reduce costs: Identifying areas for cost reduction and implementing cost-saving measures can help the business preserve its existing working capital.
3. Optimize inventory management: Efficiently managing inventory levels can help to minimize carrying costs and avoid tying up too much capital in inventory.
4. Collect receivables faster: Speeding up the collection of outstanding receivables can improve cash flow and increase working capital.
5. Negotiate better payment terms with suppliers: By negotiating longer payment terms or discounts, the business can reduce its working capital requirements.
6. Secure short-term financing: The business can consider obtaining a short-term loan or line of credit to provide a temporary boost to its working capital.
7. Sell underutilized assets: Selling assets that are not contributing to the company's profitability can free up cash and improve working capital.
By implementing one or more of these strategies, a business with too little working capital can take action to strengthen its financial position and support its ongoing operations.
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How do political campaigns get their money?
Answers
The only source of funding for the public funding scheme and public campaign funding is the tax checkoff.
How does campaign funding work?Political candidates raise money to finance their campaigns and show the range of their support. Political party committees, political action committees, and individual donors can all contribute to campaigns.
Direct contributions to federal campaigns are prohibited from coming from businesses, labor unions, and membership organizations.
By setting up political action committees, they can have an impact on federal elections.
These committees enlist the support of members and associates in order to finance or contribute to campaigns. Federal restrictions apply to how much money PACs can raise and spend.
Taxpayers who decide to contribute directly to the Presidential Election Campaign Fund when filing their tax returns help finance some presidential campaigns.
To be eligible for these funds, candidates must consent to spending and fundraising restrictions.
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Which situation most directly illustrates a possible outcome of a fiscal
policy?
A. New environmental regulations make drinking water in a city safer.
B. The government decides it is time to print a great deal of new
money
O C. Struggling farmers receive less assistance from the government.
O D. A company decides to expand its operations into several new
states
Answers
Answer:
C
Explanation:
The correct answer would be option C that says that the struggling farmers receive less assistance from the government as fiscal policies are associated with determining the expenses and taxation policies to the various sectors to regulate the direction of the economy.
There are two types of Fiscal Policy that are Expansionary and Contractionary.
Expansionary fiscal policy:
deals with an increase in spending and/ or relaxing in taxation by the government so that consumers in the economy get more money.Contractionary policy:
deals with reducing spending and/ or increasing taxation.In this case, farmers did not get assistance from the government due to reducing the amount of Federal money available for farming and farmers is an illustration of Contractionary fiscal policy.
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meg is considering a move to a foreign country and wants to deed her property to her son, christian, who’s 16. which of these must occur to make this transfer legal?
Answers
The deed must be signed by Meg, and her signature must be recognized to make this transfer legal.
What is deed?A deed is any written legal document that passes, affirms, or confirms an interest, right, or piece of property and is signed, witnessed, delivered, and in some places, sealed. It is frequently related to transferring ownership of property.A deed is a document that certifies property ownership.A property deed, sometimes known as a house deed, is a formal document that certifies or transfers ownership of real estate, such as a house or piece of land. The deed certifies the property's ownership and names the grantor (seller) and grantee of the property (buyer).Learn more about deed here:
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what is professional education!
Answers
Answer:
Professional education is a formal specialized training about a particular profession in which learners are taught the central concepts, principles, and techniques, and how these are applied in real practice, and the learners also acquire the necessary competencies needed for proper practice and behaviour.
Professional education is a formalized approach to specialized training in a professional school through which participants acquire content knowledge and learn to apply techniques. Although content is what the participant is expected to learn by attending professional school, such an education also helps the participant acquire the competencies needed for proper practice and behavior.
1. If you were going to buy a fuel-efficient car, which three would you consider? Why? Answer:
Answers
Answer:
Ford Fusion, Toyota Corolla and BMW i3
Explanation:
Fuel economy and fuel efficiency is one of the most important thing to consider when buying a car.
In United States, nearly 8 thousand gallons of petroleum are consumed by cars everyday. This cost a lot to the people's purse and most importantly it costs the atmosphere.
When we burn or use more fuel, the atmosphere gets more polluted by the exhaust of the fuel burning, and the world oil supply is depleting faster. This results in the rise of gasoline price. Thus, it is very necessary to plan before buying cars.
I would consider the cars Ford Fusion, Toyota Corolla and the BMW i3 while planning to buy a car because they are the most fuel efficient cars available in the U.S. They are also equipped with latest technology like cruise control which reduces the fuel consumption of the car.
The 2020 Ford fusion is a 6 speed automatic front wheel drive which gives the best driving experience and less energy wastage.
Carlos is planning a trip to Japan. He needs to convert U.S. dollars to
Japanese yen. When he looks up the exchange rate, he sees that it costs
122.45 yen to buy one U.S. dollar. How much does it cost to buy a Japanese
yen with U.S. money?
A. 82
B. 1
C. 0.0082
D. 1.2245
Answers
To purchase a Japanese yen using U.S. currency, it costs $ 0.0082. As a result, choice (C) is the right one.
Why does money value differ from country to country?The interplay of a number of national and international variables, including supply and demand on the foreign exchange markets, interest rates set by the central bank, inflation and economic growth at home, and trade balances between nations, determines the strength of a currency.
Because different nations have diverse economic environments, several currencies exist. A country that exports a lot of goods will typically strive to have a low-value currency to maintain its trade advantage and entice consumers to purchase its goods.
According to Kenneth Rogoff, a professor of economics at Harvard University, the Federal Reserve is on track to raise interest rates faster than other significant nations, which has contributed significantly to the dollar's rise.
Hence, the accurate answer is option (C).
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Answer:
1. DO NOT PUT a negative currency balance
2. 0.0082
3. Lower cost of production
4. Establishing a secure monetary system
5. the size of the market
6. central bank
7. comparative advantage
8. movies
9. Having familiarity with laws and regulations
10. international business can be riskier than domestic business but the size of the market makes it a very attractive option
Explanation:
U5L2: Quiz 3
90%
I got number 1 wrong so do not put the answer i wrote down
Which statement is a consequence of objectivism? Group of answer choices Moral rules apply in all cases, without exceptions. Whether an action is objectively right depends on its consequences. If two people have a moral disagreement, only one of them can be right. Everyone has the same beliefs about morality.
Answers
Answer:
B. Whether an action is objectively right depends on its consequences
Explanation:
Ayn Rand developed the theory of Objectivism. Objectivism according to her is the philosophical idea, that every thing people do, be it the pursuit of education or financial security is done simply for the purpose of preserving the human life. This theory promotes selfishness over altruism. It also advocates realism. Every other thing people do is supposed to conform to that which is the fact.
This theory also opines that if our philosophy of life is correct or right, then we would be successful. But if our philosophy of life is wrong, then the consequences would be inimical.
Note that common tasks are listed toward the top, and less common tasks are listed toward the bottom. According to O*NET, what are some common tasks performed by Financial Analysts? Check all that apply. drawing charts and graphs to illustrate reports comparing insurance policies to determine the best choice informing investment decisions by analyzing financial information investigating cases of fraud helping families create realistic budgets
Answers
Answer:
A and C
Explanation:
BECAUSE I AM BIG BRAIN
Answer:
create client presentations of plan details
advise clients on aspects of capitalization, such as amounts, sources, or timing
Explanation:
Melinda kept a record of her spending for the week. She spent $25 to put gas in the car, bought a new shirt for a total of $22. 38, played putt-putt golf with some friends that cost $6. 95 and paid $38. 71 for a few groceries. What was the total of Melinda’s expenses for the week? a. $68. 24 b. $86. 09 c. $91. 94 d. $93. 4.
Answers
The total of Melinda's expenses for the week is $93.4. She spent $25.00 on gas, $22.38 on a new shirt, $6.95 on putt-putt golf, and $38.71 on groceries. Adding up all these amounts, we get the total of $93.40. Thus, option (d) is correct.
To calculate the total expenses, we add up all the amounts Melinda spent during the week. The given expenses are as follows:
Gas: $25.00
New shirt: $22.38
Putt-putt golf: $6.95
Groceries: $38.71
Adding these amounts together, we get:
$25.00 + $22.38 + $6.95 + $38.71 = $93.04
Therefore, the total of Melinda's expenses for the week is $93.40 which corresponds to option (d).
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What should you do after attending a college fair?
A. Make a folder for each college.
B. Read the materials once you have decided which college you want
to attend.
C. Throw away everything you received at the fair except the
guidebooks
D. Store all the information you collected in your closet and don't look
at it until you're ready to apply to college.
Answers
Answer:
B and AExplanation:
both of them are good things to do but B is better.Hope this helps you :)
Larry works 60 hours a week as a valet. If full-time employment is considered 40 hours per week, how many hours of overtime does Larry work?
Answers
Answer:
20 hours overtime
Explanation:
If Larry works 60 hours, take 40 hours out of that to get 20 hours which would be how much he works overtime.
What is the future value of $3,018 invested for 8 years at 5.4 percent compounded annually?
a. $3,724.62
b. $4,596.68
c. $7,001.14
d. $6,855.47
e. $3,734.93
Answers
The future value of $3,018 invested for 8 years at 5.4 percent compounded annually is approximately $4,596.68. The correct option is b.
To find the future value of $3,018 invested for 8 years at 5.4 percent compounded annually, you can use the future value formula:
Future Value (FV) = Principal (P) * (1 + Interest Rate (R))^Number of Years (N)
In this case, the principal (P) is $3,018, the interest rate (R) is 5.4% or 0.054, and the number of years (N) is 8.
Step 1: Convert the interest rate to a decimal: 5.4% = 0.054
Step 2: Add 1 to the interest rate: 1 + 0.054 = 1.054
Step 3: Raise the result from step 2 to the power of the number of years: (1.054)^8 ≈ 1.52088
Step 4: Multiply the principal by the result from step 3: $3,018 * 1.52088 ≈ $4,596.68
Hence, the correct option is b. $4596.62.
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