You owe $$3,372$ on your credit card which has a $18\mathrm{.}7\%$ APR.

$($a$)$ How much interest do you get charged this month on your balance of $$3,372?$

$($b$)$ Next month, you make a payment of $$950.$ What is your new balance?

$($c$)$ How many total months will it take you to pay off the debt if you continue to make $$950$ payments each month $($the last month you would pay just what you owe$)?$