(calc exponential growth and decay calculus!) a principal amount of $5000 is deposited into an account paying interest at a rate of 6 percent continuously compounded. what will the account balance be after 3 years

SOLUTION
Given:
The formula is given as:
[tex]\begin{gathered} P(t)=? \\ P_0=\text{ \$5000} \\ t=3years \\ r=\frac{6}{100}=0.06 \end{gathered}[/tex][tex]\begin{gathered} P(t)=5000e^{0.06(3)} \\ P(t)=5986.08681\approx\text{ \$}5986.09 \end{gathered}[/tex]Final answer: