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kompoz [17]
3 years ago
11

Nicole is considering opening a Roth Individual Retirement Account. If she invests into the Roth IRA, determine the amount in th

e account if she makes annual payments of $4,291 into an account paying 2. 23% interest compounded annually for 30 years. A. $132,259. 66 b. $132,505. 45 c. $184,513. 76 d. $180,488. 86.
Business
1 answer:
Mamont248 [21]3 years ago
6 0

The future amount in the account (Roth IRA) is equal to: D. $180,488. 86.

<u>Given the following data:</u>

  • Principal = $4,291
  • Interest rate = 2.23%
  • Time = 30 years

To determine the future amount in the account:

Mathematically, the compound interest for this Roth IRA is given by the formula:

A = \frac{P(1\;+\;r)^t -1}{r}

<u>Where:</u>

  • P is the principal.
  • r is the interest rate.
  • t is the number of years.
  • A is the future amount.

Substituting the given parameters into the formula, we have;

A = \frac{4291(1\;+\;0.0223)^{30} -1}{0.0223}\\\\A = \frac{4291(1.0223)^{30} -1}{0.0223}\\\\A = \frac{4291(1.93798684094 -1}{0.0223}\\\\A = \frac{4291(0.93798684094)}{0.0223}\\\\A = \frac{4024.901534474}{0.0223}

A = $180,488.86

Read more on compound interest here: brainly.com/question/25263325

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Answer:

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Assets (Accounts Receivable) increases by $29,940; Equity (Retained Earnings) increases by $29,940.  So, Assets + $29,940 = Liabilities + Equity + $29,940.

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Assets (Cash) increases by $23,952 and Assets (Accounts Receivable) decreases by $23,952.  So, Assets + $23,952 and - $23,952 = Liabilities + Equity.

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Assets (Accounts Receivable) reduces by $59.88 and Equity (Retained Earnings) reduces by $59.88.  So, Assets - $59.88 = Liabilities + Equity - $59.88.

Year 2:

1. Wrote off a $225 account receivable that was determined to be uncollectible.

Assets (Accounts Receivable) decreases by $225 and Equity (Retained Earnings) decreases by $225.  So, Assets - $225 = Liabilities + Equity - $225.

2. Provided $34,940 of cleaning services on account.

Assets (Accounts Receivable) increases by $34,940 and Equity (Retained Earnings) increases by $34,940.  So, Assets + $34,940 = Liabilities + Equity + $34,940.

3. Collected $30,922 cash from accounts receivable.

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4. Adjusted the accounting records to reflect the estimate that uncollectible accounts expense would be 1 percent of the cleaning revenue on account.

Assets (Accounts Receivable) decreases by $37.93 ($97.81 - $59.88) and Equity (Retained Earnings) decreases by $37.93.  So, Assets - $37.93 = Liabilities + Equity - $37.93.

b. 1) Net Income for Year 1:

Sales = $29,940

less Allowance for uncollectible = $59.88)

Total = $29,880.12

2) Net Cash Flows from operating activities for Year 1 = $23,952.

3) Balance of Accounts Receivable at the end of Year 1:

Sales = $29,940

Less Cash Receipt = $23,952

Balance = $5,988

4) Net Realizable value of accounts receivable at the end of Year 1.

Accounts Balance = $5,988

less Allowance for Uncollectible = $59.88

Net Realizable = $5,928.12

c 1) Net Income for Year 1:

Sales = $34,940

less Bad Debts Expense = $262.93 ($37.93 + $225)

Total = $34,677.07

2) Net Cash Flows from operating activities for Year 1 = $30,922.

3) Balance of Accounts Receivable at the end of Year 1:

Beginning balance = $5,988

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Less Bad Debts Expense = $225

Less Cash Receipt = $30,922

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Accounts Balance = $9,781

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Net Realizable = $9,683.19

Explanation:

The accounting equation states that Assets equal Liabilities plus Equity.  Any change in one side of the equation affects the other.  Sometimes, a transaction or event affects one side only by increasing one account and decreasing another account on the same side of the equation.  Examples are demonstrated in the answer above.

When an uncollectible is deemed bad, it reduces the Accounts Receivable and increases the bad debt expense.  The overall effect on the accounting equation is a reduction in Assets and Equity respectively.

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Answer:

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