A 30-year-old worker plans to retire at age 65. He believes that $400,000 is needed to retire comfortably. How much should be deposited now at 7% compounded monthly to meet the $400,000 retirement goal? The amount that should be set aside is \$ $\boxed{}$ (Round up to the nearest dollar.)
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The formula for compound interest is given by: $$A = P(1 + \frac{r}{n})^{nt}$$ In this problem, we have: $A = 400000$ $r = 0.07$ $n = 12$ (compounded monthly) $t = 65 - 30 = 35$ years Show more…
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