Answer:
It will take 4.2 years
Explanation:
The amount due in the future when a sum of money is invested at a particular interest rate for certain number of years is called Future or compound value.
To calculate the compound value, we use the formula below:
FV = PV * (1+r)^n
FV- future value, PV - Present value, r - interest rate, n - number of years
In this question,
FV - 15,000, PV- 5000, r -3%, n- ?
Substituting this value we have:
15,000 = 5000 × (1+0.03)^n
15000 = 5000 × 1.03^n
1.03^n = 15,000/5000
1.03^n = 3
log 1.03^n = Log 3
n = Log 3/log 1.03
n = 4.18735
It will take about 4.2 years for the account to reach $15,000
