7
advanced-mathContinuous compounding at rate for years is modeled by . What annual rate causes an investment to triple in 20 years?
A
About 5.5%
B
About 10%
C
About 15%
D
About 3%
Correct Answer: A
Choice A is the correct answer. Solve for when .
- Equation: .
- Simplify: .
- Take natural log: .
- Solve: .
💡 Strategic Tip: Use logarithms to solve for the exponent in exponential equations.
Choice B is incorrect because this rate would more than triple the investment. Choice C is incorrect because 15% is too high. Choice D is incorrect because 3% is too low to triple in 20 years.