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advanced-mathIf continuous compounding at rate quadruples an investment in 15 years, what is ?
A
About 9.2%
B
About 6%
C
About 12%
D
About 15%
Correct Answer: A
Choice A is the correct answer. Solve for when investment quadruples.
- Equation: .
- Simplify: .
- Natural log: .
- Solve: .
💡 Strategic Tip: For quadrupling: .
Choice B is incorrect because this rate is too low. Choice C is incorrect because this rate is too high. Choice D is incorrect because this would more than quadruple.