(Solving for with annuities) Nick Johnson, a sophomore mechanical engineering student, receives a call from an insurance agent who believes that Nicki is an older woman ready to retire from teaching. He talks to her about several annutes that she could buy that would guarantee her an annual fixed Income. The annuities are as follows in the popup Window m 1 Nicki could eam 11 percent on her money by placing it in a savings account, should she place it instead in any of the annuities? Which ones, it any? Why? a. What rate of retum could Nicklearn on her money the place it in annuity with 89,000 payment per year and 10 years duration? 0% (Round to wo decimal place) (Click on the following icon in order to copy its contents into a spreadsheet.) ANNUITY INITIAL PAYMENT INTO ANNUITY (AT t = 0) $50,000 $50,000 $50,000 AMOUNT OF MONEY RECEIVED PER YEAR $9,000 $6,500 $6,000 DURATION OF ANNUITY (YEARS) 10 22 25 A B Done