#### Answer

$2542.50

#### Work Step by Step

We are given the formula $A=Pe^{rt}$ (where A is the amount accrued, P is the principal amount, r is the interest rate, and t is the amount of time in years).
In this case, $P=2000$, $r=.06$, and $t=4$. We can plug these values into the formula to find A.
$A=2000e^{.06\times4}=2000e^{.24}=2000\times1.2712=2542.50$ dollars