Answer:
It will take 10.63 years.
Explanation:
Giving the following information:
Present value (PV)= $4,000
Future Value (FV)= $10,000
Interest rate (i)= 9% annual compounded
To calculate the time required to reach $10,000, we need to use the following formula:
n= ln(FV/PV) / ln(1+i)
n= number of years
n= ln(10,000 / 4,000) / ln(1.09)
n= 10.63
It will take 10.63 years.