You've worked out a line of credit arrangement that allows you to borrow up to $$52$ million at any time. The interest rate is $38$ percent per month. In addition, $3$ percent of the amount that you borrow must be deposited in a noninterest$-$bearing account. Assume that your bank uses compound interest on its line of credit loans.

a$.$ What is the effective annual interest rate on this lending arrangement? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ Suppose you need $$21$ million today and you repay it in $6$ manths. How much interest will you pay? $($Do not round intermediate calculations and rsund your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$\backslash$table$[[$a$.,$Annual interest rate,$1,367\mathrm{.}64$