$($Related to Checkpoint $5\mathrm{.}6)($Solving for i$)$ If you were offered $$3,909\mathrm{.}6014$ years from now in return for an investment of $$800$ currently, what annual rate of interest would you earn if you took the offer?

The annual rate of interest you would earn if you took the offer is

$\%.($Round to the nearest whole percent.$)$