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To calculate the future value of an investment compounded semiannually, you can use the formula: ( A = P \left(1 + \frac{r}{n}\right)^{nt} ), where ( A ) is the amount of money accumulated after n years, including interest, ( P ) is the principal amount (6700), ( r ) is the annual interest rate (0.046), ( n ) is the number of times that interest is compounded per year (2), and ( t ) is the number of years the money is invested (15).

Plugging in the values:

( A = 6700 \left(1 + \frac{0.046}{2}\right)^{2 \times 15} )
( A = 6700 \left(1 + 0.023\right)^{30} )
( A = 6700 \left(1.023\right)^{30} \approx 6700 \times 2.0304 \approx 13,619.18 ).

Thus, the investment will be worth approximately $13,619.18 in 15 years.

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4mo ago

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