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advanced-mathWhich investment grows faster over the long term?
A: $5,000 at 6% compounded annually B: $7,000 at 4% compounded annually
A
Investment A
B
Investment B
C
They grow at the same rate
D
Cannot determine
Correct Answer: A
Choice A is the correct answer. Compare growth rates over time.
- Investment A: .
- Investment B: .
- Long-term: Higher growth rate (6% vs 4%) dominates.
- Crossover: Eventually, as increases.
- Test :
- A:
- B:
💡 Strategic Tip: In exponential functions, the base (growth rate) dominates in the long run.
Choice B is incorrect because despite higher initial value, lower rate loses. Choice C is incorrect because different rates mean different growth. Choice D is incorrect because we can compare by calculating.