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weather arroyo grande ca 93420 - Imagemakers

📅 May 1, 2026 👤 scraface

May 01, 2026

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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)...
\( \log_2(10^3) = 3 \log_2(10) \approx 3 \times 3.3219 = 9.9657 \)
So \( \log_2(16,000) \approx 4 + 9.9657 = 13.9657 \)
\( \frac{t}{3} \geq 13.9657 \Rightarrow t \geq 41.897 \)
Since days are discrete, round up to 42 days.

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