#### Answer

7321.14 dollars

#### Work Step by Step

We are given that a principal of 6000 dollars is invested in an accounting paying an annual percentage rate of 4%. Also, we know that the account is compounded quarterly (or 4 times per year).
We can calculate the amount in the account in 5 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
$A=6000\times(1+\frac{.04}{4})^{4\times5}=6000\times(1.01)^{20}=7321.14$ dollars