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Home » Check that \(x = \sqrt5 y\): - 500apps

Check that \(x = \sqrt5 y\): - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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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:
\[ 4 = e^{200r} \]
\[ \ln(4) = 200r \]
Calculate \( \ln(4) \):
\[ \ln(4) \approx 1.3863 \]
\[ r = \frac{1.3863}{200} \approx 0.0069315 \]

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