A store will give you a 2.50% discount on the cost of your purchase if you pay cash today. otherwise, you will be billed the full price with payment due in 1 month. what is the implicit borrowing rate being paid by customers who choose to defer payment for the month? (do not round intermediate calculations. enter your answer as a percent rounded to 2 decimal places.)

Answers

Answer 1
If the purchase price of your items would be 100 $ then the price you would have to pay immediately is 97,50 $, or 100 $ by the end the month. Compared to the 97,5 $, this is an increase of ((100/97,5)-1)*100 = 2,56410.. or 2,56 %. This is the increase to get back to $ 100. Now if these interests are compounded, it will imply that you have to pay these interests, each month on a growing amount of money. This means that we don't multiplie this percent by 12 but that it goes to the 12th power. In order to do math correctly. You need to make the monthly multiplying factor to the 12th power which is (100/97,5)^12 = 1,35501... This gives (1,35501*100)-100 or 35,50% interest on a yearly basis. Quite high if you think about it.
Answer 2
Final answer:

The implicit borrowing rate for customers who defer payment for a month is approximately 9.23%.

Explanation:

To calculate the implicit borrowing rate being paid by customers who choose to defer payment for a month, we need to compare the two options: paying cash today with a 2.50% discount, or deferring payment for a month at the full price.

Let's assume the full price of the purchase is $X. With the cash discount, the amount to be paid today would be 97.5% of $X (100% - 2.50% discount).

Now, if the payment is deferred for a month, the customer essentially borrowed the cost of the purchase for a month. Therefore, the implicit borrowing rate can be calculated as:

(Full price - Amount paid today) / (Amount paid today) * (12 months)

Substituting the values, we have:

(X - 0.975X) / 0.975X * 12

Simplifying further, the implicit borrowing rate is approximately 9.23%.

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Related Questions

A negative response that passively allows conditions to worsen​ (chronic absenteeism or​ lateness, reduced​ effort, and increased error​ rate) is a condition normally associated with subordinates rather than management personnel. the hr director is attempting to minimize the negative ramifications of this​ response, known as​ ________. in concert with this goal of reducing the​ negative, she is also striving to increase​ ________, which generally results in employees going beyond the normal expectations of their jobs.

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The hr director is attempting to minimize the negative ramifications of this​ response, known as neglect. In concert with this goal of reducing the​ negative, she is also striving to increase​ OCB which stands for organizational citizenship behavior.

Since the late 1970s Organizational citizenship behavior has been studied. A person's unpaid assurance within an organization or company that is not part of his or her prescribed tasks is an organizational citizenship behavior.


Alden is beginning to learn how to write. he can hold a pencil in one hand and steady the paper with his other hand. this new ability to coordinate the duties of his right and left hands is likely due to _____. adequate calcium in his diet his brain's lateralization the growth of his corpus callosum

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The ability of Alden into learning how to write is probably because of the growth of his corpus callosum. It is because the corpus callosum is the one responsible of having a person to begin and to learn how to right as this allows the communication of the two hemispheres in the brain, allowing his mind to do such functions.

To better meet corporate goals this year, donna, a ceo, is encouraging her managers to focus on the major functions of management, which include ______.

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To better meet corporate goals this year, donna, a ceo, is encouraging her managers to focus on the major functions of management, which include planning, organizing, leading and controlling. According to merriam dictionary, planning means the act or process of making a plan to achieve or do something. Organizing is defined as to arrange and plan. Leading means to guide subordinates. Lastly, controlling, to have power over something.

Lin corporation has a single product whose selling price is $120 and whose variable expense is $80 per unit. the company's monthly fixed expense is $50,000. 6.value: 10.00 pointsrequired information required: 1. using the equation method, determine for the unit sales that are required to earn a target profit of $10,000. hintsreferencesebook & resources hint #1 check my work 7.value: 10.00 pointsrequired information 2. using the formula method, determine for the unit sales that are required to earn a target profit of $15,000.

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Lin Corporation has a single product whose selling price is $120 and whose variable expense is $80 per unit. The company’s monthly fixed expense is $50,000 1. Using the equation method, solve for the unit sales that are required to earn a target profit of $10,000 Sales = Variable expenses + Fixed expenses + Profit $120Q = $80Q + $50,000 + $10000 $40Q = $60000 Q = $60,000 /$40 Q =1500 Units 2. Using the format method, solve for the unit sales that are required to earn a target profit of $15,000 Sales = 50000+15000/120-80 = 1625 units. Mauro Products distributes a single product, a woven basket whose selling prices are $15 and whose variable expense is $12 per unit. The company’s monthly fixed expense is $4,200. 1. Solve for the company’s breakeven point in unit sales using the equation method. Sales = Variable expenses + Fixed expenses + Profit $15Q = $12Q + $4,200 + $0 $3Q = $4200 Q = $4200 /$3 Q =1400 Units 2. Solve for the companies breakeven point in sales dollars using the equation method and the CM ratio. X = 0.8X + 4,200 + $0 0.2X = $4200 X = $4200 / 0.2 X = $21,000 CM ratio method BEP = fixed cost /Sales-Variable cost /Sales = 4200/15-12/15 = $21000 3. Solve for the company’s breakeven point in unit sales using the format method 4200/15-12 = 1400 units. 4. Solve for the company’s breakeven point in sales dollars using the format method and the cm ration. BEP = fixed cost /1-Variable cost / Selling price = 4200/1-12/15 = $21000 CM ratio method BEP = fixed cost /Sales-Variable cost /Sales = 4200/15-12/15 = $21000

Profit is termed as the revenue that is earned by the firm after availing of the products or the goods and services to the customers. It is the total sum of the money that is acquired on the completion of the accomplishment of the goals of the supply met in the market.

Lin Corporation has a single product whose selling price = $120

variable expense = $80 per unit.

The company's monthly fixed expense = $50,000

1. Using the equation method, unit sales is required to earn a target profit =$10,000

Sales = Variable expenses + Fixed expenses + Profit

$120Q = $80Q + $50,000 + $10000

$40Q = $60000

[tex]Q = \frac{\$60,000}{\$40 }[/tex]

Q =1500

Units 2. Using the format method, unit sales earn a target profit = $15,000 Sales =[tex]\frac{50000+15000}{120-80} = 1625 units.[/tex]

Mauro Products distributes a single product, a woven basket whose selling prices = $15

variable expense = $12 per unit.

The company's monthly fixed expense = $4,200.

1. Solve for the company's breakeven point in unit sales using the equation method.

Sales = Variable expenses + Fixed expenses + Profit

$15Q = $12Q + $4,200 + $0

$3Q = $4200

[tex]Q = \frac{\$4200}{\$3}[/tex]

Q =1400

Units 2. Solve for the companies breakeven point in sales dollars using the equation method and the CM ratio.

X = 0.8X + 4,200 + $0 0.2X = $4200

[tex]X = \frac{\$4200}{0.2 }[/tex]

X = $21,000

CM ratio method

BEP = fixed cost /Sales-Variable cost /Sales = [tex]\frac{ 4200}{15}-\frac{12}{15} = \$21000[/tex]

3. Solve for the company's breakeven point in unit sales using the format method [tex]\frac{4200}{15-12}= 1400 units.[/tex]

4. Solve for the company's breakeven point in sales dollars using the format method and the cm ratio.

BEP = fixed cost /1-Variable cost / Selling price = 4200/1-12/15 = $21000 CM ratio method BEP = fixed cost /Sales-Variable cost /Sales = 4200/15-12/15 = $21000

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Jill and sam, recent graduates, are hired as computer analysts for hrj enterprises inc. in a conversation over lunch, jill discovers that sam's salary is 15 percent higher than hers. assuming that she is being paid less because she is a female, jill contacts the human resources department, demanding that her salary be increased by 15 percent. after a few days, however, she is informed that sam had violated company policy by discussing his salary, and his salary would also be reduced by 15 percent to maintain equality. in this scenario, jill:

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Jill still has a wage discrepancy claim using the Equal Pay Act and Title VII because the remedy was to lower Seth's salary in response. The discrepancy still existed for the entire time that she and Seth had differing wage rates. This would fall under Title VII as a type of sex-based discrimination.

Consider the retirement funds data linked below. using the​ three-year return percentage​ variable, complete parts​ (a) through​ (c) below

Answers

Complete table is:-

Type                 market cap                 low                average             high

growth               small                     27.56               25.1323          24.3327

growth              mid-cap                19.9558            22.5775           26.179

growth                large                    17.8937            21.7364          36.2925

Calculate the mean return for each risk category (Growth, Low, Average, High). To do this, add up the three-year return percentages for all funds in each category and then divide by the number of funds in that category. For example, the mean return for growth funds is

(14.83 + 12.35 + 15.78 + 13.24 + 14.56 + 11.97) / 6 = 13.55%.

Calculate the mean return for each market cap category (Small, Mid-Cap, Large). To do this, add up the three-year return percentages for all funds in each category and then divide by the number of funds in that category.

Calculate the mean return for each type category (Lares, High, Average, Low). To do this, add up the three-year return percentages for all funds in each category and then divide by the number of funds in that category. mean = 290.34 / 8 = 36.2925

should color and design be used in emails

Answers

It would typically depend on the email you are creating. When creating a professional email look at the foundation of it, your email is kind of like a reflection of ones work or work space. which is why it can go either way of being a yes or no. Hope I helped out a little bit :)

Answer: yes, but only sparingly, to emphasize a point.

Explanation:

Your friend Ed refuses to use networking to get a job. He wants to get hired based on his merits and not on whom he knows. Do you agree or disagree with Ed? Explain your answer.

Answers

I think I would disagree because, there's an highly chance if you want a job that pays well. A lot of people would be after it, but if you have someone working there, they can vouch for you and 99% chance, you would get the job, because you have someone on the inside. 

I respect Ed's desire to be hired based on his merits rather than relying on networking. His commitment to achieving success through his skills and qualifications is admirable.

However, it's essential to strike a balance between competence and connections in today's job market. Networking can provide valuable insights, opportunities, and access to a broader range of job openings. It doesn't mean compromising merit but rather enhancing it by showcasing one's abilities to a wider audience. Networking can help individuals better understand the industry, gain mentorship, and learn from others' experiences.

In today's competitive world, having a strong professional network can make the difference between landing a job or not. Ed's skills are undoubtedly important, but leveraging connections can help ensure that his talents are recognized and rewarded. So, while merit is crucial, I believe a combination of merit and networking is the most effective path to career success.

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Explain how and why governments may want to regulate the price setting of a natural monopoly.

Answers

AS natural monopoly could be like emeralds from Colombia say or softwood from British Columbia, Canada whereby there are few competitors that have the product. The government may want to regulate the price of such goods such that it can't be accused of flooding the market on the world market (ie not too low a price) and this could be regulated by trade agreements like NAFTA or may limit the upper price limit to allow more purchasers to buy the product. Personally it is felt that so-called 'free-trade' agreements interfere far too much in the economies of member countries especially junior partners as they encourage the influx of cheap goods from other countries, thus putting out of business or lowering standards for good production within the country and also violating the laws of the country by provisions which overrule the laws normally used to protect goods from the country like import duties for example.

What was quipe industries’ cash flow from operations for the year ending june 30, 2014?

Answers

If these are the missing details:
Quipe Industries provided the following information for the year ending June 30, 2014.
Increase in inventories                      $ 42
Purchased treasury stock                    25
Purchased property and equipment    27
Net income                                         495
Decrease in accrued income taxes      63
Depreciation and amortization           168
Decrease in accounts payable             15
Increase in accounts receivable           39
Increase in long-term debt                 150

Operating Cash flow formula is this:

Operating Cash flow = Net Income +/- Changes in Assets & Liabilities + Non Cash Expenses

Increases in Assets must be subtracted. Decreases in Assets must be added.
Increases in Liabilities must be added. Decreases in Liabilities must be subtracted.

Net Income                                           $ 495
Subtract Uses
Increase in inventories                            $ 42
Decrease in accrued income taxes            63
Increase in accounts receivable                 39
Decrease in accounts payable                   15

Add Sources
Depreciation and amortization                 168
Total:                                                      $504

Harry is a salesperson for luxa, a car company. during sales dialogues with potential customers, harry usually talks about luxa being a premium car company that is extremely popular among the wealthiest people in the world. harry does this to:

Answers

Hary is doing this to appeal to the customers’ emotional buying motives. In product buying motives, the client is drawn towards the item because of some physical or psychological fascination of the item. The item might be shabby, alluringly composed, brilliant, strong, popular, agreeable, and so on. Hence a client is inclined to get it.

If you were looking to start a business in florida, what would be the top 5 "useful" websites to utilize

Answers

re, i dont know, maybe you can ask the people who live there 

Henson company applies overhead on the basis of 120% of direct labor cost. job no. 190 is charged with $120,000 of direct materials costs and $180,000 of manufacturing overhead. the total manufacturing costs for job no. 190 is

Answers

Total manufacturing costs=direct material+direct labor+manufacturing overhead

Calculate direct labor
Let direct labor be x
120%=1.2
1.2x=180000
Divide both sides by 1.2
X=180,000÷1.2
X=150,000 direct labor

Total manufacturing costs=
120,000+150,000+180,000
=450,000...answer

Hope it helps!
Final answer:

Total manufacturing costs include the sum of materials costs, labor costs, and overhead costs. Here, materials costs are $120,000 and overhead costs are $180,000, totaling $300,000. For a complete total, the direct labor cost is needed.

Explanation:

The Henson company calculates overhead costs as 120% of direct labor cost. However, in your question, you've provided the overhead cost directly but haven't specified the direct labor cost. The total manufacturing costs are typically computed as the sum of materials costs, labor costs, and overhead costs. In job no. 190, you've specified direct materials costs as $120,000 and manufacturing overhead as $180,000. To accurately calculate the total manufacturing cost, the direct labor cost would be needed. Based on the details given, we only have the materials and overhead costs which total to $300,000 ($120,000 + $180,000). The direct labor cost is required to arrive at the definitive total.

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Jim is designing a blog that will act as a central hub for the multiple threads of his​ company's social media program. jim is designing the blog for​ ______________.

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The usage of the blog that Jim is designed is mainly for anchoring the presence of the social media. As Jim’s design is considered to be a central hub that will be of benefit of the social media program that Jim is assigned to or created.

What are the implications of sharing confidential material information?

Answers

The implication of sharing confidential material information is about having to keep a certain thing private in a way that it should be remained secret and hidden unless it has been given consent by the person who holds the privacy to be told to another party. It is not release carelessly and should be handled with care as it should be kept by the person withholding the information.

Agriculture commodities are usually sold under which environment

Answers

Agricultural commodities are usually sold under pure competition competitive environment.  
Final answer:

Agricultural commodities are usually sold under the environment of market competition. This can include factors such as crop choices, supply and demand, and weather conditions.

Explanation:

Agricultural commodities are usually sold under the environment of market competition. Farmers who practice intensive agriculture focus on a small number of crops and use the surplus generated from intensive methods to trade for other goods. Changes in weather and climate can also affect the cost of production for agricultural products.

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Most manufacturers today shy away from using global sourcing owing to the growing concerns over issues related to quality.
a. True
b. False

Answers

B. the answer is false

At the beginning of january of the current year, little mikey's catering ledger reflected a normal balance of $52,000 for accounts receivable. during january, the company collected $14,800 from customers on account and provided additional services to customers on account totaling $12,500. additionally, during january one customer paid mikey $5,000 for services to be provided in the future. at the end of january, the balance in the accounts receivable account should be:

Answers

Final answer:

The ending balance of accounts receivable for Little Mikey's Catering at the end of January, after considering collections and additional services provided on account, is $49,700.

Explanation:

The question relates to understanding the change in the balance of accounts receivable over the month of January for Little Mikey's Catering. At the beginning of January, the accounts receivable balance was $52,000. During January, Little Mikey's collected $14,800 from customers on account and provided additional services totaling $12,500 on account. However, the payment of $5,000 for future services does not affect the accounts receivable balance, as this transaction increases cash and unearned revenue, not accounts receivable. Therefore, to calculate the ending balance in accounts receivable, one should consider the beginning balance, add the value of additional services provided on account, and subtract the amounts collected from customers on account.

Calculation:

Beginning accounts receivable: $52,000Plus additional services on account: $12,500Minus collections: $14,800

Ending accounts receivable = $52,000 + $12,500 - $14,800 = $49,700.

Therefore, at the end of January, the balance in the accounts receivable account should be $49,700.

Major tire inc.'s manufacturing plant in charleston, south carolina was destroyed when hurricane hazel hit the coast. the company officially closed the facility after reviewing the damage and terminated all 500 workers. the company did not give the employees 60 days' notice, and thus, it is liable under the worker adjustment and retraining notification act.
a. True
b. False

Answers

This is false. When a natural disaster strikes an area, this creates an exemption to the WARN Act. The company is not liable for not giving 60 days' notice to the employees before terminating their employment with the company.

Explain why bureaucrats have little motivation to keep costs down. can this situation be remedied? if so, how?

Answers

They would prefer not to keep costs down since they don't get rewarded for it, they get their budget cut for the following year. A conceivable approach to keep cost down is enable them to keep the sum they didn't save and put it into a saving account and enable that agency to gain interest on it. Also, at regular intervals there would be a reevaluation of funds required by agencies; if their budget grows or gets cut they keep the saving account until the point when it is expended.
Final answer:

Bureaucrats lack significant motivation to cut costs due to lack of competition and penalty for inefficiencies. Approaches like privatization, internal bureaucratic oversight and effective leadership are seen as possible remedies.

Explanation:

Bureaucrats often lack motivation to keep costs down due to being part of government agencies that do not face the same pressure from competition as private sectors do. These agencies receive funding from tax dollars and are not typically penalized for inefficiency or ineffectiveness, reducing motivation for cost-saving measures. Further, bureaucracies attempt to use all their allotted resources each year to prevent reduction in future budgets, contributing to bureaucratic waste.

This situation can be remedied. One method is privatization, which places these functions in a competitive market, encouraging efficiency. Another solution is internal bureaucratic oversight where members within the agency can report misconduct to mitigate wasteful practices. Lastly, assigning new leaders to government agencies with instructions to reorganize or to emphasize a different mission can also drive change.

However, these changes take time and political will, reflecting the complexities of bureaucracy and the difficulties of 'trying to turn a tanker around mid-ocean' or changing the habits of ingrained institutions.

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If you are a project manager and have the choice of forming your core team either before or after charter approval, which would you do and why?

Answers

First i would wait that my letter be approved and the i would choose my work team

According to linda hill’s study, after six months as a manager, most of the new managers typically believe that their job is to:

Answers

They think their job is to be in charge of the employees, delegate tasks and have the final say about different decisions concerning the operation. But after six months, they realize that their most important role in their managerial position is managing the people who make up the organization.

Given the presence of smartphones and tablets everywhere and​ marketers' ability to personalize messages based on​ ________ and other consumer behavior​ characteristics, there is great appeal to mobile marketing as a communication tool.

Answers

Smartphones and tablets are one of the many products of technology which highlights connectivity and individuality. This leads markets to personalize these gadgets as to attract and appeal more and more consumers and buyers to gain higher share among its competitors.

four effects of financial irresponsibility

Answers

Effect 1: Your money will plummet down 
Effect 2: you won't have much to invest to help you get back  economically 
Effect 3: Your business with foreclose 
Effect 4: Your  house bills won't be paid because your business was  closed.

Our play ___ has days of sales tied up in receivables, which is much ___ than the industry average. it takes our play

Answers

The answer to this question is 14.24 ; higher
Currently, the industry standard for this kinda thing is 9.0. This indicated that most of the sales that the play made during the period mostly paid in the form of debt. (usually caused by customers buying the ticket of the play by using their credit cards)

In analyzing the income statement of Bob Company, cost of goods sold decreased from 2013 to 2014 by 8.2%. The cost of goods sold was $19,000 in 2014. What was the cost of goods sold to nearest dollar in 2013?

Answers

The cost of goods sold was $19,000 in 2014 and it decreased by 8.2% from 2013.
100% - 8.2% = 91.8%
x ----------------- 100%
19,000 ---------- 91.8%
------------------------------
x : 19,000 = 100 : 91.8
91.8 x = 1,900,000
x = 1,900,000 : 91.8
x = 20,697.16 ≈ $20,697
Answer: The cost of goods sold was $20,697 in 2013.

What is a mineral, as geologists understand the term? how is the definition different from the everyday usage of the word?

Answers

Final answer:

A mineral is a naturally occurring, inorganic solid with a definite chemical composition and crystalline structure. This definition is specific and scientific, differing from everyday usage where the term mineral might be used more loosely. Minerals are key components of rocks and play a vital role in both geology and everyday materials.

Explanation:

Definition of a Mineral

Geologists define a mineral as a naturally occurring, inorganic solid with a definite chemical composition and a characteristic crystalline structure. This scientific definition differs from everyday usage, where the term mineral may be used more loosely to refer to various substances, including synthetically produced compounds.

For a substance to be a mineral, it must fulfill several criteria:

It must be formed by natural processes, not synthetically made by humans.

It should be inorganic, meaning it cannot arise from biological processes and does not contain organic carbon.

It must be solid, so liquids and gases are excluded, though ice can be considered a mineral because it's solid water formed naturally.

The substance must have a stable chemical formula, like NaCl for halite. Certain minerals can have variations due to ionic substitution, such as in olivine, which can vary in its magnesium and iron content.

Lastly, the internal atomic structure of a mineral is orderly and consistent, leading to its unique crystalline form.

Minerals are essential not only for their practical applications in daily life, such as in toothpaste or electronics, but also as fundamental components of rocks. Rocks are comprised of different combinations of minerals and are a significant focus of study in geology.

Baylor service corp. redeemed $1,000 of gift cards that customers used to pay for services that were performed by the company. the related adjusting entry would include a debit to:

Answers

The debit would go to unearned revenue and there would be an accompanying credit to service revenue. In this manner, the service revenue (the money made from the services provided, shown here by the payment of the gift certificates) would receive a $1000 addition while the unearned revenue would drop by $1000 because the outstanding gift cards were spent, lowering the total amount of revenue earned that was still outstanding in those cards.

The correct accounting entry for Baylor Service Corp. when redeeming gift cards is a debit to Unearned Revenue and a credit to Service Revenue, reflecting the earned revenue for services now performed. Option c is correct.

When Baylor Service Corp. redeems gift cards, the accounting entry should reflect the recognition of revenue for services performed that were previously recorded as a liability. Since the revenue has now been earned, the appropriate entry would be a debit to Unearned Revenue and a credit to Service Revenue.

This reflects the transition from a liability to earned revenue, adhering to the matching principle of GAAP, where revenues are matched with the expenses incurred to generate them. The expenses related to the service, such as staff time and supplies, should have been recorded as they were incurred, to match with the service revenue being recognized.

If we consider a different scenario where Treehouse delivers a service for $1,000 paid in cash, the journal entry would be a debit to Cash and a credit to Service Revenue. The revenue is recognized immediately as the service is provided and payment is received.

Complete question as follows:

Baylor Service Corp. redeemed $1,000 of gift cards that customers used to pay for services that were performed by the company. The related adjusting entry would include a debit to:

a. Cash and a credit to Service Revenue.

b. Cash and a credit to Unearned Revenue.

c. Unearned Revenue and a credit to Service Revenue.

d. Accounts Receivable and a credit to Service Revenue.

The price of one country currency expressed in another country currency definition

Answers

The price of one country's currency expressed in terms of another country's currency is: A. by definition, one unit of currency. ... A. exchange rate between the U.S. dollar and another currency. B. exchange rate between two currencies, neither of which is generally the U.S. dollar.21
Final answer:

An exchange rate is the value of one country's currency in relation to another country's currency. They fluctuate based on economic factors and are significant to international trade and economy.

Explanation:

The term you are referring to is called Exchange Rate. An exchange rate is the value of one country's currency in relation to another country's currency. For instance, if the exchange rate of US dollars to British pounds is 0.76, this means you can exchange 1 US dollar for 0.76 British pounds. The rate fluctuates based on several economic factors such as inflation, interest rates, economic stability, and balance of trade. Exchange rates have significant impacts on the international trade and economy of countries.

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According to a survey of the top 10 employers in a major city in the midwest, a worker spends an average of 413 minutes a day on the job. suppose the standard deviation is 26.8 minutes and the time spent is approximately a normal distribution. what are the times that approximately 95.44% of all workers will fall?

Answers

Final answer:

In a normally distributed set like the time workers spend on their job, approximately 95.44% of all values fall within two standard deviations from the mean. Therefore, 95.44% of all observations fall between (mean - 2*Standard Deviation) and (mean + 2*Standard Deviation), which equals to 359.4 minutes and 466.6 minutes.

Explanation:

The student's question falls within the subject of Statistics, which is a branch of Mathematics. The situation outlined indicates that the time spent on the job is approximately normally distributed with a mean of 413 minutes and a standard deviation of 26.8 minutes. To find the range of times that approximately 95.44% of the workers will fall into, we use the concept of a normal distribution and the empirical rule (also called the 68-95-99.7 rule). According to the empirical rule, approximately 95.44% of all scores fall within two standard deviations from the mean in a normal distribution.

Given this, we would add and subtract two times the standard deviation from the mean to find this range. Therefore, 95.44% of all observations fall between (413 - 2*26.8) and (413 + 2*26.8), which is between 359.4 minutes and 466.6 minutes. So, based on the given survey data, it can be said that approximately 95.44% of all workers in the major midwest city spend between 359.4 and 466.6 minutes per day on their job.

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95.44% of all workers will spend between 413 and 457.22 minutes on the job.

Step 1

By utilising the Z-score and the characteristics of the normal distribution, we can determine the times that around 95.44% of all workers will fall within.

The Z-score corresponding to the 95.44th percentile must first be determined. A calculator or a typical normal distribution table can be used to find this. The Z-score for 95.44% is around 1.65.

Step 2.

Next, we use the formula for finding the raw score (time in minutes) given the Z-score:

[tex]\[X = \mu + Z \times \sigma\][/tex]

Where:

- [tex]\(X\)[/tex] is the raw score (time in minutes).

- [tex]\(\mu\)[/tex] is the mean time spent on the job (413 minutes).

- [tex]\(Z\)[/tex] is the Z-score (1.65).

- [tex]\(\sigma\)[/tex] is the standard deviation (26.8 minutes).

Step 3

Now we plug in the values:

[tex]\[X = 413 + 1.65 \times 26.8\]\[X = 413 + 44.22\]\[X = 457.22\][/tex]

So, approximately 95.44% of all workers will spend between 413 and 457.22 minutes on the job.

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