a. if you invest $30,000 today at 5% compounded anually, how much will you have available for the down-payment on a house five years from now?

b. you just won the lottery and want to put some money away for your child's first year of college education. freshman year in colege will cost $40,000 in 18 years. you can earn 4% compunded anually. how much do you need to invest today?

c. tom brown will recieve $10,000 a year for the next 15 years from his trust. if a 6% interest rate is applied, what is the future value of these payments?

d. you just won 1 million in a lottery. the amount is to be paid out at the rate of $50,000 a year for the next 20 years. with a discount rate of 5%. what is the present value of your winnings?