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Home » Batman Beyond: Return of the Joker — The Dark Knight Returns in Shocking New Way! - Decision Point

Batman Beyond: Return of the Joker — The Dark Knight Returns in Shocking New Way! - Decision Point

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 Initial proficiency: 50%

📌 Daily growth: 2% of the current proficiency

📌 We want to find \(n\) such that: \(50 \times (1.02)^n \geq 90\)

📌 Using logarithms, solve:

📌 \[ 1.02^n = \frac{90}{50} = 1.8 \]

📌 \[ n \cdot \log(1.02) = \log(1.8) \]

📌 \[ n = \frac{\log(1.8)}{\log(1.02)} \approx 29.25 \]

📌 Since \(n\) must be a whole number, round up to 30 days.

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