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aliya0001 [1]
3 years ago
5

Unfortunately, Angie doesn't have enough money in her account right now. She needs to make additional contributions at the end o

f each of the next three years to be able to pay for the repairs. Her account currently has $5,000, which, along with her additional contributions, is expected to continue earning 9% annual interest. If she makes equal contributions each year, how large must each contribution be for Angie to have $9,000 after three years

Business
1 answer:
SIZIF [17.4K]3 years ago
4 0

Answer: $770.22

Explanation:

If she makes equal contributions then those would be annuities. The $9,000 she wants to have will be the future value of the amount currently in her account and the annuity.

9,000 = 5,000 ( 1 + r) ^ n + ( annuity * future value interest factor of an annuity, 9%,  3 years)

9,000 = 5,000 ( 1 + 9%) ^ 3 + ( Annuity * 3.2781)

9,000 = 6,475.145‬ + 3.2781 * Annuity

Annuity  = (9,000 - 6,475.145‬) / 3.2781

Annuity = $770.22

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