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📅 May 3, 2026 👤 scraface

May 03, 2026

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In a carbon sequestration study, a forest absorbs CO₂ at a rate propor...
\( 800 = 500 e^{6r} \Rightarrow \frac{8}{5} = 1.6 = e^{6r} \Rightarrow...
\( \ln(1.6) = \ln(8/5) = \ln 8 - \ln 5 = 3\ln 2 - \ln(5) \approx 3(0.6...
So \( r = \frac{0.4699}{6} \approx 0.0783 \) → 7.83%
Rounded to nearest percent: 8%
But check: 500 × e^(0.0783×6) ≈ 500 × e^0.4698 ≈ 500 × 1.600 = 800 → c...
So 7.83% → closest whole percent is 8%
But answer should be approximate — use 8%
However, math: 0.0783 → 7.83%, but in context, often reported as 8%
\( r = \frac{\ln(1.6)}{6} \approx \frac{0.4700}{6} \approx 0.07833 \)...

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