Joe is about to buy a new car for the amount of $$35,000.$ He is putting $$5,000.$

down and will finance $$30,000$ for $6$ years. Assume a $6\%$ annual interest rate compounded monthly.

a$)$ What is the monthly payment

b$)$ After the second year of payments, what is the outstanding balance?

c$)$ How much interest is paid in month $25?$ How much principal?