Hall Coleman
09/06/2023 · Senior High School

Use the compound interest formulas \( A=P\left(1+\frac{r}{n}\right)^{n t} \) and \( A=P e^{r t} \) to solve the problem given. Round answers to the nearest cent. Find the accumulated value of an investment of \( \$ 15,000 \) for 4 years at an interest rate of \( 4 \% \) if the money is a. compounded semiannually; b. compounded quarterly; compounded monthly; \( d \). compounded continuously. a. What is the accumulated value if the money is compounded semiannually? \( \$ \square \) (Round your answer to the nearest cent. Do not include the \( \$ \) symbol in your answer.) b.What is the accumulated value if the money is compounded quarterly? \( \$ \square \) Round your answer to the nearest cent. Do not include the \( \$ \) symbol in your answer.) (R. What is the accumulated value if the money is compounded monthly? \( \$ \square \)

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a. Accumulated value compounded semiannually: \$17,574.89 b. Accumulated value compounded quarterly: \$17,547.87 c. Accumulated value compounded monthly: \$17,547.89 d. Accumulated value compounded continuously: \$17,602.65

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