(Related to Checkpoint 6.x) (Present value of an ordinary annuity) Nicki Johnson, a sophomore mechanical engineering student, recelvos ar cal frams an insurance agert wio belioves that Nicki is an older Woman who is ready to retre from teaching. He taks to her about several anmulbes that she coild bey that would gieacantue her a fored annual hcome The atvnulties are as follows. Nick could earn 9 peccent on her money by plachg it in a savings account. Atersativaly. she could place it in any of the above annuiltes Which annuities in the table above, if any. will eatn Nickia higher roturn than invosting in the savings aceoint earning 9 percten? c. If Nicki could earn 9 percent on her money, what is the present value of annuity C with $7,500 payments per year and 12 years duration? (Round to the nearest cent) If Nicki could earn 9 percent on her money by placing it in a savings account, should she place it instead in annuity C? (Select the best choice below) A. No. Nicki should not place her money in annuity C because the present value of the annuity is smaller than the initial payment B. Yes. Nicki should place her money in annuity C because the present value of the annuity is greater than the initlal payment a. If Nicki could earn 9 percent on her money, what is the present value of annuity A with $7,000 payatents por year and 15 years duration? (Round to the nearest cent) II Nicki could eam 9 porcent on her money by placing it in a savings account, should he place instead in annuly A? (Select the best choice betiow) A. No. Nicki should not place her money in annulty A bocause the present valie of the anoulty is smaller than the initial payment. B. Yes Nicki should place her money in annuity A because the presont salue of the annuity is greater than the inital payment. b. If Nicki could eam 9 percent on her money. What is the present value of annuty 5 with $5.500 payments peryear and 10 years duration? (Round to the nearest cent) If Nickt could earn 9 percent on her money by placing it in a savings account should she place it instead in annuiby B? (Seluct the best choice befow) A. Yes tNicki should place her money in asnulky B because the present yalue of the annuity is grester than the initial payment. B. No Nicki should not place her money in anhity B because the present value of the artnu?y is smater than the initiat payment