For interest compounded continuously, the relationship between the future value(FV) and present value (PV) IS :
[tex]FV\text{ = PV }\times\text{ }e^{(i\text{ }\times\text{ t)}}[/tex]where:
i is the interest rate
t is the time in years
Using the given data:
PV = $ 2500
i = 8%
t = 4 years
The amount that would have been accumulated after 4 years:
[tex]\begin{gathered} Amount\text{ = 2500 }\times\text{ }e^{0.08\text{ }\times\text{ 4}}^{} \\ =\text{ 3442.82} \\ \approx\text{ \$3443 (nearest whole number)} \end{gathered}[/tex]