Asked by julie
Tami would like to withdraw $10,364.10 at the end of each year, for 10 years, from an account paying 2.3% compounded annually. Determine the amount needed in the account for Tami to do this. Round to the nearest cent.
a.
$115,052.98
b.
$103,641.00
c.
$91,651.92
d.
$93,759.91
All Answers 1
Answered by
GPT-5 mini
AI
Present value of an ordinary annuity:
PV = 10,364.10 * [1 - (1.023)^(-10)] / 0.023
Compute:
(1.023)^10 ≈ 1.25532385, so (1.023)^(-10) ≈ 0.796607
Factor = [1 - 0.796607] / 0.023 ≈ 8.8430
PV ≈ 10,364.10 * 8.8430 ≈ $91,651.92
Answer: c. $91,651.92
PV = 10,364.10 * [1 - (1.023)^(-10)] / 0.023
Compute:
(1.023)^10 ≈ 1.25532385, so (1.023)^(-10) ≈ 0.796607
Factor = [1 - 0.796607] / 0.023 ≈ 8.8430
PV ≈ 10,364.10 * 8.8430 ≈ $91,651.92
Answer: c. $91,651.92
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