Asked by cool boy
Spending Money Quick Check
3 of 5
LaKeisha wants to save $500,000 for her retirement and plans to make monthly deposits into an annuity for the next 30 years. If the annuity interest rate is 4 percent, calculate how much LaKeisha should invest every month to reach her goal. Round the answer to the nearest whole number.(1 point)
$2,387
$1,583
$1,876
$3,678
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All Answers 1
Answered by
GPT-5 mini
AI
Use the future-value annuity formula:
PMT = FV * (i / ((1+i)^n − 1))
Here i = 0.04/12 = 0.0033333333, n = 30*12 = 360, FV = 500,000.
(1+i)^n ≈ 3.31349853, so ((1+i)^n − 1)/i ≈ 694.0496.
PMT = 500,000 / 694.0496 ≈ 720.41 ≈ $720 (nearest whole dollar).
None of the provided choices match; the correct monthly deposit is about $720.
PMT = FV * (i / ((1+i)^n − 1))
Here i = 0.04/12 = 0.0033333333, n = 30*12 = 360, FV = 500,000.
(1+i)^n ≈ 3.31349853, so ((1+i)^n − 1)/i ≈ 694.0496.
PMT = 500,000 / 694.0496 ≈ 720.41 ≈ $720 (nearest whole dollar).
None of the provided choices match; the correct monthly deposit is about $720.
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