a. Suppose you made a one-time investment of $12,000 for 30 years using 12% simple interest, and 12% interest compounded yearly and quarterly respectively. Determine the Principal and interest earned in each of the three cases. Round your answer to 2 decimal places.

b. An investment of $195,000 provides annual cash flows of $67,200, $86,800 and $78,400 starting next year. The market interest rate is of 12%. Determine whether this is a good investment. Justify your answer. Show your working clearly and round your answer to 2 decimal places.

c. An investment today of $5580 is worth $22,200 in 10 years. Determine the annual interest rate that would be earned by this investment.