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Home » Kyle Green Lantern’s Greatest Power Revealed—This Fan Will Scream! - Redraw

Kyle Green Lantern’s Greatest Power Revealed—This Fan Will Scream! - Redraw

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 A herpetologist studying the conservation of endangered reptiles and amphibians in Southeast Asia models the population growth of a rare species using the equation \( P(t) = P_0 e^{rt} \), where \( P_0 \) is the initial population, \( r \) is the growth rate, and \( t \) is time in years. Given \( P_0 = 100 \), \( r = 0.05 \), and \( P(t) = 200 \), solve for \( t \).

📌 We start with the equation for population growth:

📌 \[ P(t) = P_0 e^{rt} \]

📌 Given values are \( P_0 = 100 \), \( r = 0.05 \), and \( P(t) = 200 \). Plug these into the equation:

📌 \[ 200 = 100 e^{0.05t} \]

📌 Divide both sides by 100 to isolate the exponential term:

📌 \[ 2 = e^{0.05t} \]

📌 \[ \ln(2) = 0.05t \]

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