Solution
For this case we can use the following formula:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]Where:
P= 400800 = present value
A= future value
r= 0.055 interest rate
n= 4, number of times that the interest is compund in a year (quarterly)
t= 4 years
Replacing we got:
[tex]A=400800(1+\frac{0.055}{4})^{4\cdot4}=498679.58[/tex]then the interest would be:
[tex]I=A-P=498679.58-400800=97879.58[/tex]