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defon
3 years ago
5

Since your first​ birthday, your grandparents have been depositing $ 1 comma 000 into a savings account on every one of your bir

thdays. The account pays 6​% interest annually. Immediately after your grandparents make the deposit on your 18th​ birthday, the amount of money in your savings account will be closest​ to:
Business
1 answer:
nika2105 [10]3 years ago
3 0

Answer:

The amount of money in my savings account will be closest​ to $29,213

Explanation:

A fix Payment for a specified period of time is called annuity. The Compounding of these payment on a specified rate is known as Future value of annuity. In this question $1,000 per year payment for 18 years at 6% interest rate is also an annuity.

We can calculate the amount of saving by calculating the future value of the given annuity.

Formula for Future value of annuity  is as follow

Future value of annuity = FV = P x ( [ 1 + r ]^n - 1 ) / r

Where

P = Annual payment = $1,000

r = rate of return = 6%

n = number of years = 18 years

Placing Value in the formula

As on the 18th payment no compounding interest income is accrued yet because grandparent made it now.

Future value of annuity = FV = $1,000 + 1,000 x ( [ 1 + 6% ]^18-1 - 1 ) / 6%

Future value of annuity = FV = $1,000 + 1,000 x ( [ 1 + 0.06 ]^17 - 1 ) / 0.06

Future value of annuity = FV = $29,213

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To record the contributions by the two cities to the Investment Trust Fund.

2. Debit Investments $187,500

Credit Cash $187,500

To record the purchase of investments.

3. Debit Cash $20,000

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To record interest income received from investments during the year.

4. Debit Investment Management Fees (Watson County) $3,750

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6. Debit Turtle Creek & Pineview Cities $25,000

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To record the payment of income to the two cities.

Data Analysis:

1. Cash $250,000 Contributions, Turtle Creek $150,000 Contributions, Pineview $100,000

2. Investments $187,500 Cash $187,500

3. Cash $20,000 Interest Income from Investments $20,000

4. Investment Management Fees (Watson County) $3,750 Cash $3,750

5. Investments $7,500 Fair Value Gain $7,500

6.  Turtle Creek & Pineview Cities $25,000 Cash $25,000

Thus, the journal entries above record the transactions and events that occurred for the Investment Trust Fund of Watson County for the two cities of Turtle Creek and Pineview for the year 2022.

Read more about recording Investment Trust Fund transactions at brainly.com/question/15088437

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Answer:

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