Use the compound interest formulas $A=P(1+\frac{r}{n}{)}^{nt}$ and $A=P{e}^{rt}$ to solve the problem given. Round answers to the nearest cent.

Find the accumulated value of an investment of $$20,000$ for $7$ years at an interest rate of $6\mathrm{.}5\%$ if the money is a$.$ compounded semiannually; b$.$ compounded quarterly; c$.$ compounded monthly; d$.$ compounded continuously.

a$.$ What is the accumulated value if the money is compounded semiannually?

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$($Round your answer to the nearest cent. Do not include the $ symbol in your answer.$)$