Suppose you take out a car loan of $$15,000$ with an interest rate of $11\%$ compounded monthly. You will pay off the loan over $30$ months with equal monthly payments.

$($a$)$ What is the monthly interest rate?

The monthly interest rate is $\mathrm{.}917\%.($Round to three decimal places.$)$

$($b$)$ What is the amount of the equal monthly payment?

The amount of the equal monthly payment is $ $.($Round to the nearest cent.$)$

$($c$)$ What is the interest payment for the $20$th payment?

The interest payment for the $20$th payment is $ $.($Round to the nearest cent.$)$