"This Hidden Ingredient in Smoker Water Is Changing Smokers Forever – Don’t Miss Out!

"This Hidden Ingredient in Smoker Water Is Changing Smokers Forever – Don’t Miss Out!

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\( F_9 = 34 \)\( F_{10} = 55 \)\( F_{11} = 89 \)\( F_{12} = 144 \)\( 144 > 100 \), 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}