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📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 Combined rate: \(1 + \frac{5}{7} = \frac{12}{7}\% \) per hour

📌 Time to complete 100%: \( \frac{100}{12/7} = 100 \times \frac{7}{12} = \frac{700}{12} = 58.33 \) hours

📌 #### 58.33

📌 An epidemiologist is modeling the spread of a disease in a population of 1 million. The model predicts that the number of infected individuals doubles every 3 days. If there are initially 50 infected individuals, how many days will it take for at least 80% of the population to be infected?

📌 80% of 1,000,000 = 800,000

📌 Number of infected after \( t \) days: \( 50 \times 2^{t/3} \)

📌 Set \( 50 \times 2^{t/3} \geq 800,000 \)

📌 Divide both sides by 50: \( 2^{t/3} \geq 16,000 \)

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