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Home » Edugoodies That Kids & Teachers Love—Unlock Hidden Learning Hacks Today! - Midis

Edugoodies That Kids & Teachers Love—Unlock Hidden Learning Hacks Today! - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 A herpetologist tracks a population of endangered frogs. The population grows exponentially according to \( P(t) = P_0 e^{0.08t} \), where \( P_0 = 500 \). How long will it take for the population to double?

📌 Set \( P(t) = 2P_0 \):

📌 2P_0 = P_0 e^{0.08t}

📌 = e^{0.08t}

📌 Take natural logarithm of both sides:

📌 \ln(2) = 0.08t

📌 t = \frac{\ln(2)}{0.08} \approx \frac{0.6931}{0.08} \approx 8.66 \text{ years}

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