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what are the 13 original colonies - Imagemakers

📅 May 1, 2026 👤 scraface

May 01, 2026

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At t=21: 120,000×21 = 2,520,000 → 8,400,000 - 2,520,000 = 5,880,000 <...
So after 21 years.
But inequality: \( t > 20 \), so smallest integer t is 21.
A research project tracks invasive plant spread modeled by \( A(t) = 1...
Initial area at \( t = 0 \): \( A(0) = 150 \)
Tripled: \( 450 = 150e^{0.1t} \Rightarrow 3 = e^{0.1t} \Rightarrow \ln...
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%

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