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Home » Did You Know There’s a Surprising Hidden Number of Cards in a Deck? Find Out Now! - 500apps

Did You Know There’s a Surprising Hidden Number of Cards in a Deck? Find Out Now! - 500apps

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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Initial population at \(t = 0\):
\[ P(0) = 2e^{0} = 2 \]
We want the smallest integer \(t\) such that:
\[ P(t) > 20 \times 2 = 40 \]
2e^{0.3t} > 40
Divide both sides by 2:
e^{0.3t} > 20
Take natural logarithm:
0.3t > \ln(20) \approx 2.9957
t > \frac{2.9957}{0.3} \approx 9.9857

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