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yanalaym [24]
3 years ago
15

The Powerball winner has the option of taking a single payment immediately, or 30 annual payments, the first of which is immedia

te and the rest increase by 4% each year. If the total of the Powerball payout is to be $365,000,000 and the winner chooses the annual payments, how much is the first payment
Business
1 answer:
Rashid [163]3 years ago
8 0

Answer:

it will pay an amount of $21107986.18

Explanation:

firstly we will be using the present value annuity formula to calculate how much will the first payment be for the annuity as there will be 30 annual payments of the lotto amount so :

Given $365000000 which is the present value of the annuity Pv.

Interest that will be gained from saving the money which is 4% per annual (i)

now we also have 30 annual payments which is our n

we are looking to find C the monthly payments .

we will now substitute these values to the formula which follows and solve for C:

Pv = C[(1-(1+i)^-n)/i]

365000000 = C[(1-(1+4%)^-30)/4%] then we divide both sides with what multiplies C

$365000000/ [(1-(1+4%)^-30)/4%] = C

$21107986.18 = C

This is the first payment that the power ball winner will get.

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Explanation:

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7 0
4 years ago
Read 2 more answers
Adjusting Entries and Adjusted Trial Balances
Artist 52 [7]

Answer:

Emerson Company

1. Adjusting Journal Entries

Debit Insurance expense $2,190

Credit Prepaid Insurance $2,190

To record expired insurance expense for the year.

Debit Supplies expense $1,270

Credit Supplies $1,270

To record supplies expense for the year.

Debit Depreciation expense of building $2,950

Credit Accumulated depreciation - building $2,950

To record depreciation expense for the year.

Debit Depreciation expense of equipment $2,550

Credit Accumulated depreciation - equipment $2,550

To record depreciation expense for the year.

Debit Unearned rent $4,690

Credit Rent Revenue $4,690

To record rent earned for the year.

Debit Salaries and wages Expense $2,880

Credit Salaries and wages payable $2,880

To record accrued salaries and wages.

Debit Accounts receivable $16,910

Credit Fees earned $16,910

To record fees earned but unbilled.

2. Adjusted Trial Balance as of October 31, 20Y6

Emerson Company

Adjusted Trial Balance  as of October 31, 20Y6

                                                   Debit           Credit  

Cash                                         $3,930

Accounts Receivable              52,550

Prepaid Insurance                     4,450

Supplies                                        540

Land                                       104,800

Building                                269,090

Accumulated Depreciation—Building             $131,010

Equipment                            125,950

Accumulated Depreciation—Equipment          93,760

Accounts Payable                                                11,180

Salaries and Wages Payable                              2,880

Unearned Rent                                                    1,650

Suzanne Emerson, Capital                            285,400

Suzanne Emerson, Drawing 13,890

Fees Earned                                                    318,940

Rent Revenue                                                    4,690

Salaries & Wages Expense 182,890

Utilities Expense                  39,570

Advertising Expense             21,140

Repairs Expense                   16,010

Miscellaneous Expense        5,740

Insurance Expense                2,190

Supplies Expense                  1,270

Depreciation Exp. Building  2,950

Depreciation Exp. Equip.     2,550

Totals                              $849,510            $849,510

Explanation:

a) Data and Calculations:

Emerson Company

Unadjusted Trial Balance  as of October 31, 20Y6

                                                   Debit           Credit  

Cash                                         $3,930

Accounts Receivable              35,640

Prepaid Insurance                     6,640

Supplies                                       1,810

Land                                       104,800

Building                                269,090

Accumulated Depreciation—Building           $128,060

Equipment                            125,950

Accumulated Depreciation—Equipment           91,210

Accounts Payable                                                11,180

Unearned Rent                                                   6,340

Suzanne Emerson, Capital                           285,400

Suzanne Emerson, Drawing 13,890

Fees Earned                                                 302,030

Salaries & Wages Expense 180,010

Utilities Expense                  39,570

Advertising Expense             21,140

Repairs Expense                   16,010

Miscellaneous Expense        5,740

Totals                              $824,220          $824,220

Adjustments:

Prepaid Insurance balance = $4,450

Insurance expense = $2,190 (6,640 -4,450)

Supplies balance = $540

Supplies expense = $1,270 (1,810 - 540)

Depreciation expense of building = $2,950

Accumulated depreciation - building = $131,010 (128,060 + 2,950)

Depreciation expense of equipment = $2,550

Accumulated depreciation - equipment = $93,760 (91,210 + 2,550)

Unearned rent = $1,650

Rent Revenue = $4,690 (6,340 - 1,650)

Salaries and wages payable = $2,880

Salaries and wages = $182,890 (180,010 + 2,880)

Accounts receivable = $52,550 (35,640 + 16,910)

Fees earned = $318,940 (302,030 + 16,910)

3 0
3 years ago
Your portfolio has a beta of 1.28. The portfolio consists of 35 percent U.S. Treasury bills, 31 percent Stock A, and 34 percent
Zarrin [17]

Answer:

2.85

Explanation:

U.S. Treasury bills are a risk-free asset, and thus have a beta of zero. Since Stock A has a risk-level equivalent to that of the overall market, its beta is one. Therefore, the beta for Stock B can be found by:

1.28=0.35\beta_{T}+0.31\beta_{A}+0.34\beta_{B}\\1.28 = 0.35*0+0.31*1+0.34\beta_{B}\\\beta_{B}=\frac{1.28-0.31}{0.34}\\ \beta_{B}=2.85

The beta of Stock B is 2.85.

6 0
3 years ago
The __________ is a listing of all the balance sheet and income-related accounts
fenix001 [56]
<span>Answer : Chart of accounts Explanation: A chart of accounts (COA) is a created list of the accounts used by an organization to define each class of items for which money or the equivalent is spent or received. It is used to organize the finances of the entity and to segregate expenditures, revenue, assets and liabilities in order to give interested parties a better understanding of the financial health of the entity.</span>
8 0
3 years ago
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Nat2105 [25]

Answer: Product-oriented layout

Explanation: The product-oriented layout is a production procedure where the materials and tools are located at the assembly lines.

This layout reduces the cost and time used in the handling of machines whereby optimizing the use of space. The product-oriented layout is mostly used when the same products are made without differences.

5 0
3 years ago
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