a) To purchase a new vehicle, $3000 is paid as a down payment, followed by bi-weekly payments of $175 for four years. If interest on the loan is 0.20% p.a. compounded bi-weekly, what is the cash value of the vehicle?

b) To purchase a $25 000 vehicle, a loan was taken out with the bank at 3.51% compounded quarterly. Payments will be made at the end of each quarter for the next 3 years. Calculate the size of the payment required to pay off the loan.

c) If $475 000 is saved for retirement, what rate of interest, compounded quarterly, will provide payments of $9726 at the end of every 3 months for the next 15 years?