Dixie Bank offers a certificate of deposit with an option to select your own investment period. Jonathan has ​$8 comma 000 for his CD investment. If the bank is offering a 6 ​% interest​ rate, compounded​ annually, how much will the CD be worth at maturity if Jonathan picks a a. two ​-year investment​ period? b.  six ​-year investment​ period? c.  ten ​-year investment​ period? d.  fifteen ​-year investment​ period?

Answers

Answer 1

Answer:

A = P * (1 + r/n)^nt. Where A = Maturity amount = ? P = Principal amount = $8,000, r = Rate of interest = 6%, n = Number of compounding per year = 1, t = Number of year

a. t = 2

A = $8,000 * (1 + 0.06/1)^1*2

A = $8,000 * (1.06)^2

A = $8,000 * 1.1236

A = $8,988.80

b. t = 6

A = $8,000 * (1 + 0.06/1)^1*6

A = $8,000 * (1.06)^6

A = $8,000 * 1.418519

A = 11348.152

A = $11,348.15

c. t = 10

A = $8,000 * (1 + 0.06/1)^1*10

A = $8,000 * (1.06)^10

A = $8,000 * 1.7908477

A = 14326.7816

A = $14,326.78

d. t = 15

A = $8,000 * (1 + 0.06/1)^1*15

A = $8,000 * (1.06)^15

A = $8,000 * 2.3965581931

A = 19172.4655448

A = $19,172.47


Related Questions

Lowden Company has a predetermined overhead rate of and allocates overhead based on direct material cost During the current period direct labor cost is 58,000 and direct materials cost is $ 88,000 . How much overhead cost should Lowden Company should apply in the current period

Answers

Answer:

$138,160

Explanation:

Calculation to determine How much overhead cost should Lowden Company should apply in the current period

Using this formula

Overhead =157%*Direct material cost

Let plug in the formula

Overhead=157%*88,000

Overhead=$138,160

Therefore the amount of overhead cost that Lowden Company should apply in the current period is $138,160

You own a portfolio that has a total value of $185,000 and it is invested in Stock D with a beta of .91 and Stock E with a beta of 1.33. The beta of your portfolio is equal to the market beta. What is the dollar amount of your investment in Stock D

Answers

Answer:

$145,357.14

Explanation:

The computation of the dollar amount of your investment in Stock D is shown below:

Let us assume the  investment in D be $x

So,  

The investment in E is ($185,000 - x)

As we know that  

Portfolio beta= Respective beta × Respective investment weight

1 = (x ÷ 185,000 × 0.91 ) +(185,000 - x) ÷ 185,000 × 1.33

Here

Beta of market = 1

And, the Beta of risk-free assets=0

(1 × 185000) = 0.91x + 246050 - 1.33x

185,000 = 0.91x + 246050 - 1.33x

x = (246050 - 185,000) ÷ (1.33 - 0.91)

= $145,357.14

You’ve borrowed $21,518 on margin to buy shares in Ixnay, which is now selling at $40.6 per share. You invest 1,060 shares. Your account starts at the initial margin requirement of 50%. The maintenance margin is 35%. Two days later, the stock price changes to $38 per share. a. Will you receive a margin call?

Answers

Answer:

a. No, you will NOT receive a margin call.

b. The price at which you will receive the margin call is $31.23 per share.

Explanation:

Note: This question is not complete as the part b of the requirement is omitted. To complete the question, the omitted part b is therefore provided before answering the question as follows:

b. At what price will you receive the margin call?

The explanation of the answer is now provided as follows:

a. Will you receive a margin call?

Margin loan = $21,518

Total amount invested = Number shares purchased * Selling price per share when purchased = 1,060 * $40.60 = $43,036

Initial equity = Total amount invested - Margin loan = $43,036 - $21,518 = $21,518

Market value of the stock two days later = Number shares purchased * Selling price per share two days later = 1,060 * $38 = $40,280

New equity = Market value of the stock two days later - Margin loan = $40,280 - $21,518 = $18,762

Percentage margin = New equity / Market value of the stock two days later = $18,762 / $40,280 = 0.4658, or 46.58%

Since your percentage margin of 46.58% is lower than the new required maintenance margin of 35%, you will NOT receive a margin call.

b. At what price will you receive the margin call?

Price to receive the margin call = (Margin loan / (100% - Maintenance margin after two days)) / Number of shares purchased = ($21,518 / (100% - 35%)) / 1,060 = $31.23

Therefore, the price at which you will receive the margin call is $31.23 per share.

mention one product you are selling on your sole proprietorship​

Answers

Answer: Examples of sole proprietors include small businesses such as, a local grocery store, a local clothes store, an artist, freelance writer, IT consultant, freelance graphic designer, etc.

Explanation:

A firm that purchases electricity from the local utility for $300,000 per year is considering installing a steam generator at a cost of $260,000. The cost of operating this generator would be $210,000 per year, and the generator will last for five years. If the firm buys the generator, it does not need to purchase any electricity from the local utility. The cost of capital is 11%. For the local utility option, consider five years of electricity purchases. For the generator option, assume immediate installation, with purchase and operating costs in the current year and operating costs continuing for the next four years. Assume payments under both options at the start of each year (i.e., immediate, one year from now,..., four years from now). What is the net present value of the more attractive choice?

Answers

Answer:

The net present value of the more attractive choice is:

= $1,108,800 (paying for local utility)

Explanation:

a) Data and Calculations:

Project period = 5 years

Cost of capital = 11%

                                             Local Utility   Steam Generator

Operating cost per year        $300,000           $210,000

Cost of steam generator                                  $260,000

PV (annuity factor

at 11% for 5 years)                      3.696

PV (annuity factor

at 11% for 4 years)                                                 3.102

Present value                       $1,108,800 ($300,000 * 3.696)

Present value of steam generator/

operating cost for the 1st year                        $470,000

Present value of operating cost for 4 years      651,420 ($210,000 * 3.102)

Net present value               $1,108,800           $1,121,420

Paying for the local utility is more attractive with a net present value savings of $12,620 ($1,121,420 - $1,108,800)

In which basic market would stoves be traded?
the labor market
the money market
the goods and services market
the capital market

Answers

Answer:

the labor market

Explanation:

#carry on learning

On January 1, 2021, the Merit Group issued to its bank a $38 million, five-year installment note to be paid in five equal payments at the end of each year. Installment payments of $9.417 million annually include interest at the rate of 7.6%.
Required: What would be the amount(s) related to the note that Merit would report in its statement of cash flows for the year ended December 31, 2021?

Answers

Answer:

The correct solution is provided below.

Explanation:

Given:

The cash inflow,

= $38

Interest rate,

= 7.6%

or,

= 0.076

Now,

The annually interest will be:

= [tex]38\times 0.076\times 1[/tex]

= [tex]2.89[/tex] ($)

Or,

The installment payment without interest will be:

= [tex]9.417-2.89[/tex]

= [tex]6.53[/tex] ($)

What do we call interest on interest?

Answers

Answer:

Interest-on-interest, also referred to as 'compound interest', is the interest that is earned when interest payments are reinvested.

Interest-on-interest, also referred to as 'compound interest', is the interest that is earned when interest payments are reinvested.

It is primarily used in the context of bonds, whose coupon payments are assumed to be re-invested and held until sale or maturity.

Interest-on-interest applies to the principal amount of the bond or loan and to any other interest that has previously accrued.

Bobby bought 550 shares of stock at $61.25 per share. His broker charges 4% commission for round lots and 5% for odd lots. Calculate the total cost of the stock purchase.

Answers

Answer:

The total cost of the stock purchase was $ 35,371.87.

Explanation:

Since Bobby bought 550 shares of stock at $ 61.25 per share, and his broker charges 4% commission for round lots and 5% for odd lots, to calculate the total cost of the stock purchase the following calculation must be performed:

Odd lot = less than 100 shares, or sum not divisible by 100

550 = odd lot

(550 x 61.25) x 0.05 = X

33,687.5 x 0.05 = X

1,684.375 = X

33,687.5 + 1,684,375 = 35,371,875

Therefore, the total cost of the stock purchase was $ 35,371.87.

April 30 May 31
Inventories
Raw materials $37,000 $42,000
Work in process 9,800 18,600
Finished goods 58,000 34,900
Activities and information for May
Raw materials purchases (paid with cash) 189,000
Factory payroll (paid with cash) 150,000
Factory overhead
Indirect materials 7,000
Indirect labor 34,500
Other overhead costs 101,000
Sales (received in cash) 1,200,000
Pre-determined overhead rate based on direct labor cost 55%
Compute the following amounts for the month of May using T-accounts
1. Cost of direct materials used.
2. Cost of direct labor used.
3. Cost of goods manufactured.
4. Cost of goods sold.
5. Gross profit.
6. Overapplied or underapplied overhead.

Answers

Answer:

1. Cost of direct materials used

= $177,000

2. Cost of direct labor used

= $150,000

3. Cost of goods manufactured

= $400,700

4. Cost of goods sold

= $423,800

5. Gross profit

= $776,200

6. Overapplied or underapplied overhead

= $60,000 Underapplied

Explanation:

a) Data and Calculations:

Inventories

Raw materials $37,000 $42,000

Work in process 9,800 18,600

Finished goods 58,000 34,900

Activities and information for May

Raw materials purchases (paid with cash) 189,000

Factory payroll (paid with cash) 150,000

Factory overhead

Indirect materials 7,000

Indirect labor 34,500

Other overhead costs 101,000

Sales (received in cash) 1,200,000

Predetermined overhead rate based on direct labor cost = 55%

T-accounts:

Raw materials

Account Titles            Debit       Credit

Beginning balance $37,000

Cash                        189,000

Factory overhead                        $7,000

Work in process                         177,000

Ending balance                        $42,000

Totals                   $226,000 $226,000

Work in process

Account Titles            Debit       Credit

Beginning balance  $9,800

Direct materials      177,000

Direct labor            150,000

Applied overhead   82,500

Finished goods                      $400,700

Ending balance                         $18,600

Totals                  $419,300    $419,300

Finished goods

Account Titles            Debit       Credit

Beginning balance  $58,000

Work in process      400,700

Cost of goods sold                  $423,800

Ending balance                          $34,900

Totals                    $458,700   $458,700

 

Factory overhead

Account Titles            Debit       Credit

Indirect materials       $7,000

Indirect labor              34,500

Other costs               101,000

Work in process                        $82,500 (55% of direct labor)

Under-applied overhead            60,000

Total                      $142,500   $142,500

Sales (received in cash) 1,200,000

Cost of goods sold           423,800

Gross profit =                    776,200

Research the different types of body language the people use in different cultures.

Answers

Answer:

Explanation:

Body language is an extremely important form of communication in every single culture, yet every culture has differences. For example...

Korean's tend to greet individuals with a bow. This is a form of showing respect as well as saying hello. Other cultures such as the Swiss tend to greet others with three cheek kisses.

Body language can be for many occasions such as Americans using the middle finger to show their dislike of someone. There's also Italian's closing their fingers together in form of a pinecone to show their distraught over something.

Body language has always been a way of expressing oneself and their emotions.

Consider the following time series data. Week 1 2 3 4 5 6 Value 19 13 15 12 17 15 Using the average of all the historical data as a forecast for the next period, compute the following. (Round your answers to two decimal places.)
measures of forecast accuracy:Mean absolute error (MAE)Mean squared error (MSE)Mean absolute percentage error (MAPE)Round your answers to two decimal places.MAE =MSE =MAPE =Using the average of all the historical data as a forecast for the next period, compute the same three values. Round your answers to two decimal places.MAE =MSE =MAPE =Which method appears to provide the more accurate forecasts for the historical data?

Answers

Answer:

1. We have:

MAE = 3.60

MSE = 15.60

MAPE = 25.45

2. We have:

MAE = 2.62

MSE = 11.11

MAPE = 19.59

3. The average of all the historical data provides the more accurate forecasts for the historical data.

Explanation:

Note: This question is not correct as the average of all the historical data is asked to be used as a forecast for the next period in requirements 1 and 2 instead of the naïve method (most recent value) for the first requirement. The correct question is therefore presented before answering the question as follows:

Consider the following time series data.

Week     1      2       3      4       5       6

Value    19    13      15     12     17      15

1. Using the naïve method (most recent value) as the forecast for the next period, compute the following (Round your answers to two decimal places.) measures of forecast accuracy:

a. Mean absolute error (MAE)

b. Mean squared error (MSE)

c. Mean absolute percentage error (MAPE).

2. Using the average of all the historical data as a forecast for the next period, compute the same three values. Round your answers to two decimal places.

3. Which method appears to provide the more accurate forecasts for the historical data?

The explanation of the answer is now provided as follows:

The following formulae are to be used:

MAE = Total of Error / Number of observations

MSE = Total of Error^2 / Number of observations

MAPE = Total of Error % / Number of observations

1. Using the naïve method (most recent value) as the forecast for the next period, compute the following (Round your answers to two decimal places.) measures of forecast accuracy:

Note: See part 1 of the attached excel file for the determination of Naïve and Calculations of Error, Error^2 and Error % using the naïve method as the forecast for the next period.

From the attached excel file, we have:

MAE = 18.00 / 5 = 3.60

MSE = 78.00 / 5 = 15.60

MAPE = 127.23 / 5 = 25.45

2. Using the average of all the historical data as a forecast for the next period, compute the same three values. Round your answers to two decimal places.

Note: See part 2 of the attached excel file for the determination of Naïve and Calculations of Error, Error^2 and Error % using the average of all the historical data as a forecast for the next period.

From the attached excel file, we have:

MAE = 13.12 / 5 = 2.62

MSE = 55.55 / 5 = 11.11

MAPE = 97.94 / 5 = 19.59

3. Which method appears to provide the more accurate forecasts for the historical data?

The average of all the historical data provides the more accurate forecasts for the historical data comparing the values of its MAE, MSE and MAPE to the values of MAE, MSE and MAPE of Naive method. This is because the error values of the average of all the historical data are much lowest and more closest to the actual data.

Calculate the net present value in US$ of an investment in the health spa only, assuming that the 1,500-square-foot unit is purchased and then resold at the end of 12 years. (Hint: Before making your present value calculations, multiply all amounts expressed in CI$ by $1.25 to convert into US$.)

Answers

Answer: Hello I was able to find the Major part of the question online as attached below

answer :

Net present value ( NPV ) = $153353.91

Explanation:

NPV =  ( Present value of Cash Inflow)  - ( Present value of Cash outflow) --  ( 1 )

present value of cash inflow

i) cosmetic products = ( 5500 * 1.25 * 12) * ( 6.8137) (cost of capital )) = 562130.25

ii) land sale = ( 1500 * 300 * 1.25 ) * ( 0.8186 ) ( cost of capital )) = 179212.5

∑ present value of cash inflow = 741342.75

Present value of cash outflow  ( other expenses )

∑ present value of cash outflow = 587,988.84

NPV = 741,342.75  -  587,988.84  = $153,353.91

a 17-year annuity pays $1,100 per month, and payments are made at the end of each month. The interest rate is 16 percent compounded monthly for the first 6 years and 13 percent compounded monthly thereafter. What is the present value of the annuity

Answers

Answer:

The present value of the annuity is $73,091.50

Explanation:

Use the following formula to calculate the present value of the annuity

Present value of annuity = ( Annuity Payment x Annuity factor for first 6 years ) + [ ( Annuity Payment x Annuity factor for after 6 years ) x Present value factor  for 6 years ]

Where

Annuity Payment = $1,000

Annuity factor for first 6 years = 1 - ( 1 + 16%/12 )^-(6x12) / 16%/12 = 46.10028344

Annuity factor for after 6 years = 1 - ( 1 + 13%/12 )^-((17-6)x12) / 13%/12 = 70.0471029820

Present value factor for 6 years = ( 1 + 16%/12)^-(6x12) = 0.385329554163

Placing values in the formula

Present value of annuity = ( $1,000 x 46.10028344 ) + [ ( $1,000 x 70.0471029820 ) x 0.385329554163 ]

Present value of annuity = $46,100.28 + $26,991.22

Present value of annuity = $73,091.50

Concentration is the ability to focus and pay​

Answers

Answer:

nice

Explanation:

Concentration is the ability to focus and pay

Calvin works in the accounting department for a textbook publishing firm preparing budgets and reporting production costs. What job does Calvin hold

Answers

Answer:

The answer is "managerial accountant".

Explanation:

The economic circumstances collect and earned value collection of data, evaluating and presenting financial information for the organization or the management team of the company. These statistics will then be used to make sensible financial decisions that really can benefit the overall growth of the organization.

Managers were employing company and organizational accounts to monitor internal financial processes, revenue, spending, and budget, submit reports, determine past trends and forecast future needs, and aid economic decisions.

Suppose First Main Street Bank, Second Republic Bank, and Third Fidelity Bank all have zero excess reserves. The required reserve ratio is 25%. Manuel, a client of First Main Street Bank, deposits $1,800,000 into his checking account at First Main Street Bank.

Required:
Write down the table to show the effect of a new deposit on excess and required reserves

Answers

Answer:

Change in Excess Reserves $1,350,000

Change in Required Reserves $450,000

Explanation:

Preparation of the table to show the effect of a new deposit on excess and required reserves

Based on the information given since the REQUIRED RESERVE RATIO is 25%, which means that First Main Street Bank will hold 25% of its initial deposit leading to INCREASE in the REQUIRED RESERVE by the amount of $450,000 (25%*$1,800,000) while the remaining 75% (100%-25%) will be the EXCESS RESERVES of the amount of $1,350,000 (75%*$1,800,000).

Hence:

Amount Deposited: $1,800,000

Change in Excess Reserves=$1,350,000

Change in Required Reserves= $450,000

Therefore the effect of a new deposit on excess and required reserves will be:

Change in Excess Reserves $1,350,000

Change in Required Reserves $450,000

Jeniffer, a supervisor of a customer service team, is concerned about Mark's performance. She decides to talk to Mark
and schedules a meeting with him. If Jeniffer is using the directive counseling approach, which of the following should
be Jeniffer's first step?

Answers

Answer: She should first make a good conversation with Mark because you can solve this situation easier than just going straight to the point.

Explanation:

Managers in international businesses will need to evaluate the attractiveness of a country as a market or location for a facility or investment.

a. True
b. False

Answers

Answer:

a. True

Explanation:

A manager can be defined as an individual who is saddled with the responsibility of providing guidance, support, supervision, administrative control, as well as acting as a role model or example to the employees working in an organization by being morally upright. Thus, he or she supervises and ensures his subordinates (employees) are working effectively and efficiently with the organization's goals and objectives.

Generally, managers working in international businesses are expected to evaluate the attractiveness of a country as a market or location for a facility or investment before going ahead to the endorse and approve it for any business having long-term plan, goals and objectives in mind.

Some examples of the factors a manager should look out for in determining the attractiveness of a country includes freedom of expression, government policies, power supply, taxation, ease of doing business, climate, etc.

Boswell Company reported the following information for the current year: Sales(50,000 units) £1,000,000, direct materials and direct labor £500,000, other variable costs £50,000, and fixed costs £360,000. What is Boswell’contribution margin ratio?

Answers

lol btw u play ml? or growtopia?

The time required to collect information about the current state of the economy is known as A. the effect lag. B. the recognition lag. C. the fiscal lag. D. the action lag.

Answers

Answer:

B. the recognition lag.

Explanation:

Recognition lag means the delay that lies between the economic shock arise and when it should be seen by the economist, government etc. Here the delays could be arise as the data that documented the economy state should not be available on the instant basis and after this it takes the time to analyze it correctly

Therefore as per the given situation, the option b is correct

David works for a cookie company downtown. He earns $7 per hour. In a typical week, he works 22 hours. His employer provides overtime pay equal to 3 times his normal wage if he works past 40 hours. The company also provides a 8% commission on all cookies sold. How much can David make this week if he works 30 hours and sells $1100 worth of cookies

Answers

Answer:

$242

Explanation:

Calculation to determine How much can David make this week

Earnings for David =( 22*$7) + (1100*8%)

Earnings for David=$154*$88

Earnings for David= $242

Therefore How much can David make this week is $242

Dogs R US uses the perpetual inventory system to account for its merchandise. A customer returned merchandise. Assuming that the purchase was originally bought on credit for $400 with a cost to Dogs R US of $100, demonstrate required journal entry of Dogs R US to record the return by selecting all of the correct actions below. (Check all that apply.) Multiple select question. Credit Accounts Receivable $400. Credit Sales Returns and Allowances $400. Debit Accounts Payable $400. Credit Merchandise Inventory $100. Credit Cash $400. Debit Sales Returns and Allowances $400. Credit Cost of Goods Sold $100. Debit Cost of Goods Sold $100. Debit Merchandise Inventory $100.

Answers

Answer:

Credit cost of goods sold $100.

Debit merchandise inventory $100.

Credit accounts receivable $400.

Debit sales returns and allowances $400.

Explanation:

These are the demonstrate required journal entries of Dogs R US to record the return.

Credit cost of goods sold $100.

Debit merchandise inventory $100.

Credit accounts receivable $400.

Debit sales returns and allowances $400.

In its income statement for the year ended December 31, 2022, Sheffield Corp. reported the following condensed data.

Operating expenses $725,000
Interest revenue $38,000
Cost of goods sold 1,261,000
Loss on disposal of plant assets 22,000
Interest expense 76,000
Net sales 2,204,000
Income tax expense 50,000
Other comprehensive income (net of $1,200 tax) 8,800

Required:
Prepare a multiple-step income statement.

Answers

Answer:

Sheffield Corp.

Multiple-step income statement for the year ended December 31, 2022

Net sales                                                                            $2,204,000

Less Cost of goods sold                                                   ($1,261,000)

Gross Profit                                                                           $943,000

Less Operating Expenses :

Operating expenses                  $725,000                       ($725,000)

Operating Profit                                                                    $218,000

Less Non Operating Expenses :

Interest revenue                         ($38,000)

Loss on disposal of plant assets $22,000

Interest expense                          $76,000

Income tax expense                    $50,000                        ($110,000)

Net Profit                                                                              $108,000

Other Comprehensive Income

Other comprehensive income (net of $1,200 tax)                $8,800

Total Profit and loss and comprehensive income              $116,800

Explanation:

A multiple-step income statement shows separately profit derived from primary activities and that derived from secondary activities as shown above.

Capital market securities have short-term maturities with less than one year and therefore can be sold for cash quickly and easily.
a) true
b) false

Answers

Answer:

b) false

Explanation:

The capital market securities may be defined as a financial market where long term debts or the equity-backed securities can be bought and then sold.

The capital market securities are long term maturities  where cash can be bought and sold easily.

The money market securities are a short term maturity financial securities such as stocks, bonds, etc.

Therefore, the answer is false.

g Which of the following statements is true of clustering? A. It uses different suppliers and distribution channels for interdependent companies within an industry. B. It seldom uses specialized labor. C. It helps a firm gain an increase in efficiencies. D. It typically increases the costs of production and distribution.

Answers

Answer: C. It helps a firm gain an increase in efficiencies.

Explanation:

Clustering refers to the geographic concentration of the businesses and the suppliers that are interconnected in a particular field.

The aim of clusters is to help increase efficiencies as well as being about an increase the productivity through which companies can compete.

Therefore, the correct option is C.

During August, the receipts and distributions of Material No. B4G9 are as follows: Received Aug. 31,100 units at $15 161,700 units at $17 29 900 units at $18 Issued Aug. 11 700 units for Job 116 181,900 units for Job 117 30 800 units for Job 118 a. Determine the cost of each of the three issues under a perpetual system, using the first-in, first-out method.

Answers

Answer:

The total cost will be "$56,200". A further explanation is provided below.

Explanation:

According to the question,

The cost of issue of Aug 11 will be:

= [tex]700\times 15[/tex]

= [tex]10,500[/tex] ($)

The cost of issue of Aug 18 will be:

= [tex]400\times 15+1500\times 17[/tex]

= [tex]6000 +25500[/tex]

= [tex]31,500[/tex] ($)

The cost of issue of Aug 30 will be:

= [tex]200\times 17+600\times 18[/tex]

= [tex]3400+10800[/tex]

= [tex]14,200[/tex] ($)

Now,

The total cost will be:

= [tex]10,500+31,500+14,200[/tex]

= [tex]56,200[/tex] ($)

Steve borrowed $750 for a new dresser. He made 9 monthly payments to repay the loan. He paid $45 interest. What is his simple interest rate?

Answers

Answer:

222

Explanation:

You are told that standing up during the Cowboys football game will give you a better view of the field. However, if everyone stands up at the same time, then your view is obscured. This example best describes:
a. inclusion of an irrelevant variable.
b. a violation of ceteris paribus .
c. a fallacy of composition.
d. a post hoc ergo propter hoc fallacy.
e. an omission of a relevant variable.

Answers

Answer:

I think the answer is e. Because you the variable that if everyone stands up you cant see is omitted.

Assuming you have to pay $6.00 to play the game, explain what happens in the long run. (Is it a good idea to play the game

Answers

Answer:

Kindly check explanation

Explanation:

We create a probability distribution for the play and winning :

Possible winning, X = 0, 7, 20

Probability of winning :

Sum of 2 die rolls ; sample space = 6² = 36

P(winning 0) = (sum ≠ 2,3,5 or 6)/ sample space = 24 / 36 = 2/3

P(winning 20) = (sum = (2 or 3) / Sample space) = 9 / 36 = 1/4

P(winning 7) = (sum = (5or6) / sample space) = 3 / 36 = 1/12

Distribution table :

X _____ 0 _______ 7 _____ 20

P(x) ___ 2/3 _____ 1/4 ____ 1/12

Expected value of the game ; E(X) ;

E(X) = Σx*p(x)

E(X) = (0*2/3) + (7*1/4) + (20*1/12)

E(X) = 0 + 1.75 + 1.6667

E(X) = 3.417

E(X) = 3.42

This means the mean winning after a long play is expected to be $3.42

To know if the game should be paku in the long run : we calculate the payoff

Expected Value - cost of paly

Cost of play = $6

Payoff = 3.42 - 6 = - 2.58

Since, payoff is negative, the game should not be played.

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