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Home » Since bases are equal, set exponents equal: - Moon Smoking

Since bases are equal, set exponents equal: - Moon Smoking

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 A science policy analyst calculates that a green infrastructure plan reduces urban flooding risk by 12% each year. If initial risk is 40%, what is the risk after 5 years?

📌 Risk = 40 × (0.88)⁵ = 40 × 0.52773191 ≈ <<40*0.52773191=21.1093264>>21.11%

📌 #### 21.11

📌 A science journalist reports that a machine learning model’s accuracy improves from 85% to 92% over 4 years, growing exponentially. What is the annual growth rate (as a percentage)?

📌 = 85 × (1 + r)⁴ → (1 + r)⁴ = 92/85 ≈ 1.08235 → 1 + r = 1.08235^(1/4) ≈ 1.02015 → r ≈ 0.02015 = 2.015%

📌 #### 2.015

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