You started an investment account $10$ years ago with $$1100,$ and it now has grown to $$5000.$

a$.$ What annual rate of return have you earned $($you have made no additional contributions to the account$)?$

b$.$ If the investment account earns $13\%$ per year from now on$,$ what will the account's value be ten years from now?

a$.$ The annual rate of return is $\%.$

$($Round to two decimal places.$)$

b$.$ The account's value will be $

$($Round to the nearest dollar.$)$