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advanced-mathA smartphone app has 10,000 users. Users increase by 30% each month. When will it reach 100,000 users?
A
Between 8 and 9 months
B
12 months
C
6 months
D
10 months
Correct Answer: A
Choice A is the correct answer. Find when users reach 100,000.
- Formula: , solve for .
- Simplify: .
- Test:
- : (below 10)
- : (above 10) ✓
- Answer: Between 8 and 9 months.
💡 Strategic Tip: Test integer values to bracket the answer.
Choice B is incorrect because growth happens faster. Choice C is incorrect because. Choice D is incorrect because it exceeds 100,000 before month 10.