Sheryl is planning to buy a car for $$35,000,$ and she gets a $60-$month auto loan with a monthly interest rate of $0\mathrm{.}25\%.$ If she sets up her account on auto$-$pay, her interest rate will drop to $0\mathrm{.}2\%.$

A$)$What is her monthly payment if she doesn't use auto$-$pay? B$)$What is her monthly payment if she signs up for auto$-$pay? C$)$Over the life of the loan, how much more interest does she pay if she doesn't sign up for auto$-$pay?