Quantitative Problem: You need $$13,000$ to purchase a used car. Your wealthy uncle is willing to lend you the money as an amortized loan. to make annual payments for $5$ years, with the first payment to be made one year from today. He requires a $6\%$ annual return.

a$.$ What will be your annual loan payments? Round your answer to the nearest cent. Do not round intermediate calculations.

b$.$ How much of your first payment will be applied to interest and to principal repayment? Round your answer to the nearest cent. Do not round intermediate calculations.

Interest: $

Principal repayment: $