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Home » R(9) &= 3(81) + 18 + 1 = 243 + 18 + 1 = 262, \\ - Appfinity Technologies

R(9) &= 3(81) + 18 + 1 = 243 + 18 + 1 = 262, \\ - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \[ N(t) = 1,000 \times 16 = 16,000 \]

📌 A geologist is mapping geological formations and discovers a sedimentary layer that grows at a rate proportional to its thickness. If the layer grows from 50 meters to 200 meters over 200 years, assuming exponential growth, find the annual growth rate. Use the formula \( N(t) = N_0 \times e^{rt} \). Calculate \( r \).

📌 Initial thickness, \( N_0 = 50 \) meters

📌 Final thickness, \( N(t) = 200 \) meters

📌 Time period, \( t = 200 \) years

📌 \[ 200 = 50 \times e^{200r} \]

📌 Divide both sides by 50:

📌 \[ 4 = e^{200r} \]

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