#### Answer

$\$2330.65$

#### Work Step by Step

Step 1 Use the formula A=P$e^{rt}$ to find the amount in a continuously compounded account, with $p=\$2000$, $t=3$, and $r=5.1\%=0.051$
A=$2000 \times$$e^{(0.051)(3)}$
Step 2 Simplify
A=$2000 \times$$e^{0.153}$
Step 3 Evaluate e. Simplify for answer
$A=2000(1.165325)
\\A=\$2,330.649958
\\A\approx\$2,330.65$