Answer:
Answer= 9 years
Explanation:
Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate
14,963.72=2200[1-(1.06)^-n]0.06
14,963.72=36,666.67[1-(1.06)^-n]
1-(1.06)^-n=(14,963.72/36,666.67)
(1.06)^-n=1-(14,963.72/36,666.67)
(1/1.06)^n=0.591898545
Taking log on both sides;
n*log (1/1.06)=log 0.591898545
Hence n=log0.591898545/log (1/1.06)
=9 years.