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 $6$ years at an interest rate of $5\%$ 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?

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