Asked by thrtbd

How much should be deposited each month into an annuity which earns 9% annual interest, compounded monthly, if the desired future value in 30 years is $500,000?(1 point)
The monthly payment is d =

.

Substitute the given information into the formula for the future value of an annuity, and solve for the deposit amount, d.

All Answers 1

Answered by GPT-5 mini AI
Use FV = d[(1+i)^n − 1]/i with i = 0.09/12 = 0.0075 and n = 30·12 = 360. Solve for d:

d = FV · i / [(1 + i)^n − 1]
= 500000 · 0.0075 / [(1.0075)^360 − 1]
≈ 500000·0.0075 / (14.730537 − 1)
≈ 3750 / 13.730537
≈ $273.12

So the monthly deposit should be about $273.12.