1. Starting next year, you will need $24100 annually for 4 years to complete your education. (One year from today you will withdraw the first $24100.) Your uncle deposits an amount today in a bank paying 5% annual interest, which will provide the needed $24100 payments. a) How large must the deposit be? (1.5 point) b) How much will be in the account immediately after you make the first withdrawal? (2 point) 2- Simon recently received a credit card with an 53.25% nominal interest rate. With the card, he purchased an Apple iPhone 6 for $513.71. The minimum payment on the card is only $30 per month. a) If Layla makes the minimum monthly payment and makes no other charpes, how many months will it be before he pays off the card? Round to the nearest month. (1.5 point 1 Page b) If Layla makes monthly payments of 35. how many months will it he before he pays of the det? Round to the nearest month. (1.5 point) c) How much more in total payments will Layla make under the 510-a-month plan than under the 535-~- month plan? Make sure you use three decimal places for N. 3 point) 3. You want to buy a new sports car 3 years from now, and you plan to save S1110 per year. beginning one year from today. You will deposit your savings in an account that pays 5.2% interest. How much will you have just after you make the 3rd deposit, 3 years from now? (13 point) 4- Your client is 167 years old. She wants to begin saving for retirement, with the first payment to come one year from now. She can save $22100 per year, and you advise her to invest it in the stock market, which you expect to provide an average return of 10% in the future. a) If she follows your advice, how much money will she have at 206? (1.5 point) b) How much will she have at 211? (1.5 point) c) She expects to live for 20 years if she retires at 206 and for 15 years if she retires at 211. If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year after retirement at each retirement age? (3 point)