$10.$

You have $$5,000$ in the bank comfortably earning $16\%$ interest compounded quarterly. Your cousin needs $$5,000$ to buy a new car. In order to get the same total return, what interest rate r should you request from him if the money you lend him is to be compounded continuously?

Exact interest rate $($without using a calculator$),$ r $=$

Interest rate, as a percent, rounded to $2$ decimal places $=\%$

$11.$

Find the effective interest rate corresponding to a nominal interest rate of $6\%$ compounded semiannually.

Effective interest rate $($without using a calculator$),$ reff $=$

Effective interest rate, as a percent, rounded to $2$ decimal places $=$

$\%$