Take log: t × log(0.95) < log(0.25) → t > log(0.25)/log(0.95) ≈ (−1.3863)/(−0.05129) ≈ <<1.3863/0.05129≈27.03>>27.03
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- after 2 hr: 19 × 0.95 = 18.05
- This is geometric: E = 20 × (0.95)^t
- Solve: 20 × (0.95)^t < 5 → (0.95)^t < 0.25
- So t = 28 full hours.
- #### 28
- A science policy analyst evaluates a city’s carbon capture system that removes 12 tons of CO₂ in the first month, increasing by 8% each month due to machine optimization. How many tons are removed in total over the first 6 months, to the nearest ton?
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