Problem

In order to pay for college, the parents of a child invest $\$ 15,000$ in a bond that pays $9 \%$ interest compounded semiannually. How much money will there be in 17 years? Round your answer to the nearest cent.

Answer

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Answer

Calculate the result and round to the nearest cent: \(\boxed{66,995.42}\)

Steps

Step 1 :Calculate the future value using the formula: \(Future Value = Principal * (1 + (Interest Rate / Number of Compounding Periods))^{(Number of Compounding Periods * Time in Years)}\)

Step 2 :Plug in the values: \(Future Value = 15000 * (1 + (0.09 / 2))^{(2 * 17)}\)

Step 3 :Calculate the result and round to the nearest cent: \(\boxed{66,995.42}\)

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