4-2. What is the future equivalent of $1,000 invested at 6% simple interest per year for 3 years? (4.2) 4-11. You have just invested a one-time amount of $5,000 in a stock-based mutual fund. This fund should earn (on average) 9% per year over a long period of time. How much will your investment be worth in 35 years? (4.6) 4-78. You owe your best friend $3,000. Because you are short on cash, you offer to repay the loan over 24 months under the following condition. The first payment will be $100 at the end of month one. The second payment will be $100+ G at the end of month two. At the end of month three, you'll repay $100 + 2G. This pattern of increasing G amounts will continue for all remaining months. (4.11) a. What is the value of G if the interest rate is 1% per month? b. What is the equivalent uniform monthly payment? c. Repeat Part (a) when the first payment is $120 (i.e., determine G). 4-103. You repay a student loan of $20,000 in equal monthly installments over 5 years at a nominal interest rate of 24%, compounded on a monthly basis. The interest rate remains constant over this entire period of time. What is the monthly repayment amount? (4.15) 4-58. Lisa plans to retire on her 65th birthday. On her 30th birthday, Lisa will start saving $A per year for 35 years. Starting on her 65th birthday, Lisa plans on withdrawing $15,000 and will continue these annual withdrawals until the account is exhausted on her 80th birthday. If Lisa's bank account pays 5% per year, what annual amount of $A will Lisa need to invest in her bank account to achieve her retirement goal? (4.10)