Respuesta :
We will use the formula (1 + 0.73) ^ n = 3.
n = In (3) / In (1.073)
n = 15.5923395399
approximately it will be about 16 years will it take to triple the amount of the money earning at 7.3% compounded annually.
n = In (3) / In (1.073)
n = 15.5923395399
approximately it will be about 16 years will it take to triple the amount of the money earning at 7.3% compounded annually.
Answer:
15.6 years.
Step-by-step explanation:
We have to calculate the years to triple an amount of money earning 7.3% compounded annually.
Formula : [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Let the principal amount be 1000
Amount will be triple 1000 × 3 = 3000
Now put the values
[tex]3000=1000(1+\frac{0.073}{1})^{(1)(t)}[/tex]
[tex]3000=1000(1.073)^{t}[/tex]
[tex]1000(1.073)^{t}=3000[/tex]
[tex]1.073^{t}=3[/tex]
[tex]t=\frac{log(3)}{log(1.073)}[/tex]
t = 15.59234 ≈ 15.6 years
It will take 15.6 years to triple the money at an APR of 7.3%.