Answer :
It is given that an amount of $5000 is componded continuously for 8 years at 6.5%.
So the amount is given by the formula:
[tex]A=P(1+\frac{r}{100k})^{kn}[/tex]Where k is the number of compounding periods in a year, r is the annual rate of interest and n is the number of years.
Here:
[tex]r=6.5,k=365,n=8,P=5000[/tex]Substitute the values to get:
[tex]A=5000(1+\frac{6.5}{100\times365})^{365\times8}=8409.7489[/tex]Hence in 8 years the amount will be $8409.7489.