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Home » how to divide a fraction by a whole number - inBeat

how to divide a fraction by a whole number - inBeat

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 \( F_{11} = 89 \)

📌 \( F_{12} = 144 \)

📌 \( 144 > 100 \), and \( F_{11} = 89 < 100 \).

📌 So the smallest \( n \) is **12**.

📌 An online learning platform observes that course completion rates follow the logistic model \( C(t) = \frac{1000}{1 + 9e^{-0.2t}} \), where \( C(t) \) is the number of completions after \( t \) weeks. After how many weeks does the number of completions first exceed 900?

📌 Solve \( \frac{1000}{1 + 9e^{-0.2t}} > 900 \)

📌 Divide both sides:

📌 \frac{1000}{900} > 1 + 9e^{-0.2t} \Rightarrow \frac{10}{9} > 1 + 9e^{-0.2t}

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