K (Solving for r with annuities) Nicki 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 annuities that she could buy that would guarantee her an annual fixed income. The annuities are as follows in the popup window. If Nicki could earn 9 percent on her money by placing it in a savings account, should she place it instead in any of the annuities? Which ones, if any? Why? Data table (Click on the following icon in order to copy its contents into a spreadsheet.) INITIAL PAYMENT INTO ANNUITY ANNUITY ABC AMOUNT OF MONEY RECEIVED PER DURATION OF ANNUITY (AT 1-0) YEAR (YEARS) $50,000 $6,000 20 $70,000 $8,000 16 $60,000 $6,500 25 - X er year and 20