If \(A\) is the initial amount put into an account, \(P\) is the annual percentage rate of interest, which remains fixed

[Vincen]

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) \(4A\left(\dfrac{P}{100}\right)^5\)

b) \(A\left(\dfrac{P}{400}\right)^{20}\)

c) \(A\left(1+\dfrac{P}{100}\right)^5\)

d) \(A\left(1+\dfrac{P}{25}\right)^{20}\)

e) \(A\left(1+\dfrac{P}{400}\right)^{20}\)

Answer: E

Source: Magoosh