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Home » But since we count cumulative infections including initial, and model is geometric: - Baxtercollege

But since we count cumulative infections including initial, and model is geometric: - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 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

📌 So t = 28 full hours.

📌 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?

📌 Geometric series: a = 12, r = 1.08, n = 6

📌 Sum = a(r^n − 1)/(r − 1) = 12×(1.08^6 − 1)/(0.08)

📌 1.08^6 ≈ 1.58687 → 1.58687 − 1 = 0.58687

📌 Sum = 12 × 0.58687 / 0.08 = 12 × 7.3359 ≈ <<12*7.3359=88.0308>>88.03 ≈ 88 tons

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