Answer
The interest rate is $9.6\%$
Work Step by Step
In the formula for continuous compounding with
$P=6000$
$A=8000$
$t=3$
$A=Pe^{rt}$
$8000=6000e^{3r}$
$e^{3r}=\frac{4}{3}$
$\ln\frac{4}{3}=\ln e^{3r}$
$3r=\ln\frac{4}{3}$
$r \approx 0.096$
The interest rate is $9.6\%$
