Pls do 14 and 16

14. Today is Derek's 26th birthd Derek's birthdays, beginning deposits into the account begi plans to work part-time until account for Derek with an initial value of $10,000. Joe will depos R'S 26th birthday. Today, as a birthday present this wcle Joe established a t will deposit 55.000 in the account on each of days, beginning on his 27th and son sing until Derek tums 40. Derek plans to make nto the account beginning on his 41st birthday and ending on his 65th birthday. However, Work part-time until he turns 75. During these vears of part-time work, he will nother make deposits to nor take withdrawal Sto nor take withdrawals from his retirement account. Exactly one year after the day he tu ly retires, Derek will begin to make annual withdrawals of $200.000 from his retirement count until he tums 95. He wants to have $500.000 in the account after his final withdrawal. To reach his goal, what must the contributions be? Assume a 6.00% interest rate. a. 6,179.87 b. 9,763.43 c. 11,028.43 d. 14,945.89 e. 16,230.65 15. Brandon wants to double his money in 8 years. To do so, he must invest in an account that earns p.a. compounded quarterly. a. 5.466 b. 6.992 c. 7.776 d. 8.759 e. Adomong 9.587 16. A couple took out a $350,000 mortgage ten years ago. The original terms called for 30 years of monthly payments at a 6.00% APR. The couple has made all payments over the last 10 years. Currently, the couple is considering re-financing their mortgage. (In other words, they are going to take a new mortgage to pay the remaining balance of the old mortgage.) The new mortgage will be for 30 years at the lower rate of 4.80% APR with monthly compounding. What is the new monthly payment if the couple refinances? a. 1,458.23 b. 1,536.75 c. 1,649.22 d. 2,098.43 2,328.56 oooo