(a) A car buyer takes out a 25,000 loan to purchase the car. Suppose that the annual interest rate is 3%. Assume that interest is compounded continuously and that payments are also made continuously. (i) What monthly payment is required to pay off the loan in 10 years? (ii) What is the total interest paid during the term of the mortgage? (b) A student can afford to spend no more 150 per month on a loan to pay his college fees. If the interest rate is 2% annually and the mortgage is 5 years, what is the maximum amount that the student can afford to borrow