Answer:
It will take 2.72 years and 32.64 months.
Explanation:
Future value is the sum of principal amount and compounded interest amount invested on a specific rate for a specific period of time.
Use following formula to calculate the time period.
FV = PV x ( 1+ r )^n
FV = Future value = $6,000
PV = Present Value = $4,000
r = rate of interest = 15% yearly = 15% / 12 = 1.25%
n = time period = ?
$6,000 = $4,000 x ( 1 + 1.25% )^n
$6,000 = $4,000 x ( 1.0125 )^n
$6,000 / $4,000 = ( 1.0125 )^n
1.5 = ( 1.0125 )^n
Log 1.5 = n log 1.0125
n = Log 1.5 / log 1.0125
n = 32.64 months
n = 2.72 years
