If A is the initial amount put into an account, $P$ is the annual percentage rate of interest, which remains fixed, and the account compounds quarterly, which of the following is an expression, in terms of A and P , for the amount in the account after 5 years?

A. \(4A\) \(\left(\frac{\mathrm{P}}{100}\right)^5\)

B. \(A\) \(\left(\frac{\mathrm{P}}{400}\right)^{20}\)

C. \(\mathrm{A}\left(1+\frac{\mathrm{P}}{100}\right)^5\)

D. \(\mathrm{A}\left(1+\frac{\mathrm{P}}{25}\right)^{20}\)

E. \(\mathrm{A}\left(1+\frac{\mathrm{P}}{400}\right)^{20}\)




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