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Nadusha1986 [10]
3 years ago
12

​(Annuity payments) Calvin Johnson has a 5000 debt balance on his Visa card that charges 12.9 percent APR compounded monthly. In

2009 , Calvin's minimum monthly payment is 3 percent of his debt​ balance, which is $150. ​How many months​ (round up) will it take Calvin Johnson to pay off his credit card if he pays the current minimum payment of $150 at the end of each month?
Business
2 answers:
olya-2409 [2.1K]3 years ago
8 0

Answer:

41.49 approx 42 months

Explanation:

To calculate the number of months, we use the formula for loan

p = r(pv) / 1 - (1+r)-n

make n subject of the formula

p ( 1 - ( 1+r) ^-n) = r(pv)

p - p (1+r)^-n = r(pv)

p (1+r)^-n = p-r(pv)

(1+r)^-n = (p-r(pv)) / p

( 1+r)^n = p / (p-r(pv))

n In( 1+r) = In (p / (p-r(pv))

n = In ( p/ ( p - r(pv)) / In ( 1 +r)

n is the number of months, p is the payment per months

pv is the present value of 5000

substitute the values given into the equation

n = (In ( 150 / (150 - ( 0.129 / 12 × 5000)) / ( In ( 1 + ( 0.129 / 12) = 41.49 approx 42 months

STatiana [176]3 years ago
8 0

Answer:

42 months

Explanation:

To calculate the number months, we use ordinary annuity formula since that payment is expected to be made at the end of each month. The ordinary annuity formula is as follows:

PV = P × [{1 - [1 ÷ (1 + r)]^n} ÷ r]  .............................. (1)

Where ,

PV = Present value of an annuity  payment = $5,000

P = monthly payment  = $150

r = interest rate  = 12.9% annually = 0.129 annually = (0.129 ÷ 12) monthly =  0.01075  monthly

n = number of months = ?

Substituting the values into equation (1), we have:

5000 = 150 × [{1 - [1 ÷ (1 + 0.01075)]^n} ÷ 0.01075]  

5000 ÷ 150 = {1 - [1 ÷ (1.01075)]^n} ÷ 0.01075

33.33 × 0.01075 = 1 - [1 ÷ (1.01075)]^n

1 - 0.36 = [1 ÷ (1.01075)]^n

0.64 = 1^n ÷ (1.01075)^n

Since 1^n = 1, we have:

0.64 = 1 ÷ (1.01075)^n

Rearranging, we have:

(1.01075)^n = 1 ÷ 0.64

(1.01075)^n = 1.56

By converting the exponential function to a logarithm function, we have:

n = log_{1.01075}1.56

n = log_{1.01075}1.56

n = 41.59  approximately 42 months.

Therefore, it will take Calvin Johnson 42 months to pay off his credit card.

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On April 2, the company prepaid $9,000 cash for twelve months' rent for office space. b) The balance in Prepaid insurance repres
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Missing information:

Karla Tanner opens a web consulting business called Linkworks and recorded the following transactions in its first month of operations.

Apr. 1 Tanner invests $80,000 cash along with office equipment valued at $26,000 in the company in exchange for common stock.

Apr. 2 The company prepaid $9,000 cash for twelve months’ rent for office space. The company's policy is record prepaid expenses in balance sheet accounts.

Apr. 3 The company made credit purchases for $8,000 in office equipment and $3,600 in office supplies. Payment is due within 10 days.

Apr. 6 The company completed services for a client and immediately received $4,000 cash.

Apr. 9 The company completed a $6,000 project for a client, who must pay within 30 days.

Apr. 13 The company paid $11,600 cash to settle the account payable created on April 3.

Apr. 19 The company paid $2,400 cash for the premium on a 12-month insurance policy. The company's policy is record prepaid expenses in balance sheet accounts.

Apr. 22 The company received $4,400 cash as partial payment for the work completed on April 9.

Apr. 25 The company completed work for another client for $2,890 on credit.

Apr. 28 The company paid $5,500 cash in dividends.

Apr. 29 The company purchased $600 of additional office supplies on credit.

Apr. 30 The company paid $435 cash for this month’s utility bill.

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Answer:

Apr. 1 Tanner invests $80,000 cash along with office equipment valued at $26,000 in the company in exchange for common stock.

Dr Cash 80,000

    Cr Common stock 80,000

Apr. 2 The company prepaid $9,000 cash for twelve months’ rent for office space. The company's policy is record prepaid expenses in balance sheet accounts.

Dr Prepaid rent 9,000

    Cr Cash 9,000

Apr. 3 The company made credit purchases for $8,000 in office equipment and $3,600 in office supplies. Payment is due within 10 days.

Dr Equipment 8,000

Dr Supplies 3,600

    Cr Accounts payable 11,600

Apr. 6 The company completed services for a client and immediately received $4,000 cash.

Dr Cash 4,000

    Cr Service revenue 4,000

Apr. 9 The company completed a $6,000 project for a client, who must pay within 30 days.

Dr Accounts receivable 6,000

    Cr Service revenue 6,000

Apr. 13 The company paid $11,600 cash to settle the account payable created on April 3.

Dr Accounts payable 11,600

    Cr Cash 11,600

Apr. 19 The company paid $2,400 cash for the premium on a 12-month insurance policy. The company's policy is record prepaid expenses in balance sheet accounts.

Dr Prepaid insurance 2,400

    Cr Cash 2,400

Apr. 22 The company received $4,400 cash as partial payment for the work completed on April 9.

Dr Cash 4,400

    Cr Accounts receivable 4,400

Apr. 25 The company completed work for another client for $2,890 on credit.

Dr Accounts receivable 2,890

    Cr Service revenue 2,890

Apr. 28 The company paid $5,500 cash in dividends.

Dr Dividends 5,500

    Cr Cash 5,500

Apr. 29 The company purchased $600 of additional office supplies on credit.

Dr Supplies 600

    Cr Accounts payable 600

Apr. 30 The company paid $435 cash for this month’s utility bill.

Dr Utilities expense 435

    Cr Cash 435

Adjusting entries:

a) On April 2, the company prepaid $9,000 cash for twelve months' rent for office space.

Dr Rent expense 750

    Cr Prepaid rent 750

b) The balance in Prepaid insurance represents the premium paid for a 12-month insurance policy the policy's coverage began on April 1.

Dr Insurance expense 200

    Cr Prepaid insurance 200

c) Office supplies on hand as of April 30 total $1,200.

Dr Supplies expense 3,000

    Cr Supplies 3,000

d) Straight-line depreciation of office equipment, based on a 5-year life and a $4,000 salvage value, is $500 per month.

Dr Depreciation expense 500

    Cr Accumulated depreciation - equipment 500

e) The company has completed work for a client, but has not yet billed the $1,800 fee.

Dr Accrued income 1,800

    Cr Service revenue 1,800

f) Wages due to employees, but not yet paid, as of April 30 total $2,600.

Dr Wages expense 2,600

    Cr Wages payable 2,600

                 Linkworks

            Income Statement

For the month ended April 30th, 202x

Service revenue             $14,690

Wages expense             ($2,600)

Supplies expense          ($3,000)

Depreciation expense      ($500)

Insurance expense           ($200)

Rent expense                    ($750)

<u>Utilities expense               ($435)</u>

Net income                      $7,205

retained earnings = $7,205 - $5,500 (dividends) = $1,705

                   Linkworks

               Balance Sheet

For the month ended April 30th, 202x

Assets:

Cash $59,465

Accounts receivable $4,490

Accrued income $1,800

Prepaid rent $8,250

Prepaid insurance $2,200

Supplies $1,200

Equipment net $7,500

Total assets: $84,950

Liabilities and stockholders' equity:

Accounts payable $600

Wages payable $2,600

Common stock $80,000

Retained earnings $1,705

Total liabilities and stockholders' equity: $84,905

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