Given:
P=$2000
r=8% = 0.08
t=2 years
Then, if the interest is compounded continuously for t years at a rate of r per year, then the compounded amount is given by:
[tex]A=P\cdot e^{rt}[/tex]
Therefore:
[tex]A=2000\cdot e^{(0.08)(2)}=2000\cdot e^{0.16}=2347.02[/tex]
Answer: $2347.02
