Answer
$5.387\%$
Work Step by Step
Assume that the growth factor is $b$ the after 5 years, the growth factor would be $b^5$. Given that the investment grow by $30\%$, the size of the original investment would be $1.3$. Hence
$$
\begin{aligned}
b^5 & =1.30 \\
b & =1.30^{\frac{1}{5}} \approx 1.05387
\end{aligned}
$$
The effective annual rate for the investment is $5.387\%$
