2. Suppose you make an investment of $1,000 now. This first year the investment returns 12%, the second year it returns 6%, and the third year it returns 8%. How much would this investment be worth at the end of the third year, assuming no withdrawals are made in between? 3. A wealthy relative gives Barney $5,000 to help provide for his new born child's university fee. He decides to invest this money at 10% p.a. until his child is ready to go to university. How much will be in the account 18 years from now? 4. Barney wants to provide $20,000 for his new born child's education, which will begin 18 years from today. How much should Barney invest now, if the interest rate is 10% p.a.? a. 5. Barney lends $100,000 to John, his cousin for a total of 10 years at 5% p.a. How much does John have to pay after 10 years (if using simple interest rate)? b. How much does John have to pay after 10 years (if using compounded interest rate)? Assume that Barney lends $100,000 to John, using simple interest rate, but wants to receive the payment which is equal to that if using compounded interest. What should the interest rate be? c