Answer
27612.15 dollars
Work Step by Step
We are given that a principal of 25000 dollars is invested in an accounting paying an annual percentage rate of 5%. Also, we know that the account is compounded quarterly (or 4 times per year).
We can calculate the amount in the account in 2 years by using the formula $A=P(1+\frac{r}{n})^{nt}$.
A= amount in the account after t years
P= principal or amount invested
t= time in years
r= annual rate of interest
n= number of times compounded per year
$A=25000\times(1+\frac{.05}{4})^{4\times2}=25000\times(1.0125)^{8}=27612.15$ dollars
