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Home » From Beach Parties to TikTok Fame—Here’s What Makes Malibu Beverages Unstoppable! - SUpost

From Beach Parties to TikTok Fame—Here’s What Makes Malibu Beverages Unstoppable! - SUpost

📅 July 7, 2026 👤 scraface

Jul 07, 2026

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📌 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: \( 2^{t/3} \geq 16,000 \)

📌 Take log base 2: \( \frac{t}{3} \geq \log_2(16,000) \)

📌 \( \log_2(16,000) = \log_2(16 \times 1000) = \log_2(16) + \log_2(1000) = 4 + \log_2(10^3) \)

📌 \( \log_2(10^3) = 3 \log_2(10) \approx 3 \times 3.3219 = 9.9657 \)

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