$($Related to Checkpoint $5\mathrm{.}6)($Solving for i$)$ At what annual interest rate, compounded annually, would $$500$ have to be invested for it to grow to $$1,908\mathrm{.}62$ in $13$ years?

The annual interest rate, compounded annually, at which $$500$ must be invested for it to grow to $$1,908\mathrm{.}62$ in $13$ years is $\%.($Round to two decimal places.$)$