Answer:
It will take 18.041 years to triple the investment.
Explanation:
[tex](1+\delta )^{11.553} =2 \\[/tex]
We need to solve for delta:
[tex]\delta = \sqrt[11.5530]{2} -1[/tex]
delta = 0.06183353
now solve for this rate compounding twice per year to triple the investment:
[tex](1+0.06183353/2 )^{n*2} =3 \\[/tex]
we use logarithmics properties and solve for n:
[tex]2 \times n= \frac{log3}{log(1+06183353/2)
n = 18.04051743
It will take 18.041 years to triple the investment.
