Daily growth: 2% of the current proficiency
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- Both locations will experience an earthquake on the same day again in 72 days.
- An online course offers a math module over 200 hours, where a student improves their proficiency by 2% every day. If they start with 50% proficiency, after how many days will they reach at least 90% proficiency?
- Initial proficiency: 50%
- We want to find \(n\) such that: \(50 \times (1.02)^n \geq 90\)
- Using logarithms, solve:
- \[ 1.02^n = \frac{90}{50} = 1.8 \]
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