Answer:
5.4 years
Step-by-step explanation:
Future value is the value of the calculated by compounding a specific present value using a specific discount rate
Payment = $1,500
Rate = 9.56%
Future value = $10,000
We will use the following formula to calculate the numbers of years.
Future Value = Payment x [ ( 1 + r)^n - 1 / r ]
$10,000 = $1,500 x [ ( 1 + 9.56%)^n - 1 / 9.56%
$10,000 x 9.56% / 1,500 = ( 1 + 9.56%)^n - 1
0.6373 +1 = 1.0956^n
1.6373 = 1.0956^n
Log 1.6373 = n log 1.0956
n = log 1.0956 / Log 1.6373
n = 5.4 years