College

Stuart put $99 into a CD that pays 2.6% interest. According to the Rule of 72, approximately how long will it take for his money to double?

A. 276.9 years
B. 27.7 years
C. 38.1 years
D. 380.8 years

Answer :

The Rule of 72 estimates the number of years it takes for an investment to double by the formula

[tex]$$
\text{Time to double} = \frac{72}{\text{Interest Rate in Percent}}.
$$[/tex]

Given an interest rate of [tex]$2.6\%$[/tex], we have

[tex]$$
\text{Time to double} = \frac{72}{2.6} \approx 27.7 \text{ years}.
$$[/tex]

Thus, it will take approximately [tex]$27.7$[/tex] years for the money to double. The correct answer is B.