Sarah is 27 years old and is retiring at the age of 65. when she retires, she estimates that she will need a semiannual income for 20 years. if sarah contributes 9% of her semiannual income of $18,567.11 to a 401(k) paying 6.1% compounded semiannually, approximately what semiannual income will she be able to draw? (hint: find the future value of her investment prior to retirement and use that amount as her investment amount upon retirement)

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?