Answer:
7.59%
Explanation:
Calculation for What annual interest rate must you earn over the last 10 years to accomplish this goal
Future value required=[Amount of deposit*(1+6.4%)^5]*(1+I)^10
$29,750=[$10,500*(1+6.4%)^5]*(1+I)^10
$29,750=[$10,500*(1+0.064)^5]*(1+I)^10
$29,750=[$10,500*(1.064)^5]*(1+I)^10
$29,750=[$14,318.497198]*(1+I)^10
(1+I)^10=[$29,750/$14,318.497198]
(1+I)^10=2.077732013
(1+I)=2.077732013^(1/10)
(1+I)=1.07586791
Hence, annual interest rate will be:
Interest rate, I=(1.07586791-1)*100
Interest rate=0.07586791*100
Interest rate=7.586791%
Interest rate=7.59% (Approximately)
Therefore the annual interest rate that you must earn over the last 10 years to accomplish this goal is 7.59%
