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Home » $ \binom72 = \frac7 \cdot 62 = 21 $ - Aurero

$ \binom72 = \frac7 \cdot 62 = 21 $ - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 An environmental remediation team is cleaning up a contaminated site. If they remove contaminants at a rate of 5 % per day, and the site initially contains 10,000 kg of contaminants, how much will remain after 10 days?

📌 Use the exponential decay formula:

📌 \( \text{Remaining contaminants} = 10,000 \times (1 - 0.05)^{10} \).

📌 Calculate \( (1 - 0.05)^{10} = 0.95^{10} \).

📌 \( 0.95^{10} \approx 0.59874 \).

📌 Multiply the initial amount by \( 0.59874 \):

📌 \( 10,000 \times 0.59874 = 5,987.4 \).

📌 #### 5,987.4 kg

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