Answer
$\$1,246.07$
Work Step by Step
According to the Formula for compounding continuously, where $P$ is the principal, the amount deposited, $r$ is the annual interest rate, $t$ is the number of years, $A$ is the you get back after $t$ years:
$A=P\cdot e^{r\cdot t}$
Here we have:
$t=2\text{ years}$
$r=11\%=0.11$
$P=\$1000$
Substitute these values into the formula above to obtain:
$A=1000\cdot e^{0.11\cdot 2}\approx\$1246.07$
