Suppose you borrow $20,000 at the start of 2022 to buy a car. Your loan is for 4 years at an effective rate of 0.5% per month. Your first uniform monthly payment to pay back the loan is due at the end...

Suppose you borrow $20,000 at the start of 2022 to buy a car. Your loan is for 4 years at an effective rate of 0.5% per month. Your first uniform monthly payment to pay back the loan is due at the end of January 2022. Please answer the following questions:

a. What is your uniform monthly payment if you pay it off over 48 months?

b. What is the remaining balance of your car loan immediately after making the 36th monthly payment at the end of year 3?

c. Suppose instead you send the bank a check for $550 every month. Rounding off to the nearest number of months, how many months are required to pay off the loan by paying $550 each month assuming that the bank applies the proper portion of each payment to interest or principle at 0.5% per month?