$($Related to Checkpoint $5\mathrm{.}6)($Solving for i$)$ At what annual interest rate, compounded annually, would $$520$ have to be invested for it to grow to $$1,966\mathrm{.}57$ in $15$ years?

The annual interest rate, compounded annually, at which $$520$ must be invested for it to grow to $$1,966\mathrm{.}57$ in $15$ years is $\%.($Round to two decimal places.$)$