The correct answer is A. 13.7 years.
To calculate the time it takes for money to double itself, we can use the formula $T = \dfrac{ln(2)}{ln(1 + r)}$, where $T$ is the number of years, $r$ is the annual interest rate, and $ln$ is
the natural logarithm.In this case, $r = 0.05$, so $T = \dfrac{ln(2)}{ln(1 + 0.05)} \approx 13.7$ years.
Option B is incorrect because it is the time it takes for money to triple itself. Option C is incorrect because it is the time it takes for money to quadruple itself. Option D is incorrect because it is the time it takes for money to quintuple itself.