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advanced-math$15,000 is invested at 7% compounded annually. How long until it doubles?
A
About 10 years
B
14 years
C
7 years
D
20 years
Correct Answer: A
Choice A is the correct answer. Find when the investment doubles.
- Target: Double means .
- Equation: , so .
- Estimate: Test values:
- : (close to 2)
- : (over 2)
- Answer: About 10-11 years, so "About 10 years".
💡 Strategic Tip: Rule of 72: doubling time ≈ years.
Choice B is incorrect because doubling happens sooner. Choice C is incorrect because this is the interest rate, not doubling time. Choice D is incorrect because doubling occurs much earlier.