Math  /  Algebra

Question19. If PP dollars are invested at the end of each year in an annuity that earns interest at an annual rate rr, the amount in the account will be AA dollars after nn years, where n=log[ArP+1]log(1+r)n=\frac{\log \left[\frac{A r}{P}+1\right]}{\log (1+r)}
If $5,000\$ 5,000 is invested each year in an annuity earning 8%8 \% annual interest, when will the account be worth $75,000\$ 75,000 ? Round to the nearest tenth.

Studdy Solution
Solve for n n : n=0.34240.033410.25n = \frac{0.3424}{0.0334} \approx 10.25
Round to the nearest tenth: n10.3n \approx 10.3
The account will be worth \$75,000 in approximately \( \boxed{10.3} \) years.

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