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Home » Calculate rate after 6 hours: - DNSFLEX

Calculate rate after 6 hours: - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Take natural logarithm:

📌 0.3t > \ln(20) \approx 2.9957

📌 t > \frac{2.9957}{0.3} \approx 9.9857

📌 The smallest integer greater than 9.9857 is \(t = 10\).

📌 \[ P(9) = 2e^{2.7} \approx 2 \times 14.88 = 29.76 < 40 \]

📌 \[ P(10) = 2e^{3} \approx 2 \times 20.0855 = 40.171 > 40 \]

📌 So, the population first exceeds 40 after \(\boxed{10}\) full days.

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