You've worked out a line of credit arrangement that allows you to borrow up to

$$50$ million at any time. The interest rate is $\mathrm{.}379$ percent per month. In

addition, $4$ 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?

Note: Do not round intermediate calculations and enter your answer

as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}1$

b$.$ Suppose you need $$35$ million today and you repay it in six months. How

much interest will you pay?

Note: Do not round intermediate calculations and enter your answer

in dollars, not millions, rounded to $2$ decimal places, e$.$g$.,$

$1,234,567\mathrm{.}89.$