9) Chris is planning for her retirement at age 65. She assumes that i=5% for all of her calculations. a) Chris plans to save by investing every January 1 starting with $5,000 in 2021 and increasing her deposit by $1000 every year. Find Chris' projected accumulated value on January 1, 2050. b) How much income will the projected accumulated value from part a) provide assuming that Chris buys a level 25-year annuity starting December 31, 2050? c) Chris wants to take her retirement income as a 25-year annuity starting at $X on December 31, 2050 and increasing by 3% every December 31. i) How large should X be based on her projected accumulated value on January 1, 2050. ii) How much will she receive from this annuity in 2060? (10 points)