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Home » So, number of favorable selections: - Sterling Industries

So, number of favorable selections: - Sterling Industries

📅 April 17, 2026 👤 scraface

Apr 17, 2026

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📌 But precise answer: the number of years is 21.

📌 However, standard is to report the integer value satisfying, so t = 21.

📌 But let's compute:

📌 At t=20: 8.4M - 1.2M×20 = 8.4M - 24M = negative? No: 120,000 × 20 = 2,400,000 → 8,400,000 - 2,400,000 = 6,000,000 → not below.

📌 At t=21: 120,000×21 = 2,520,000 → 8,400,000 - 2,520,000 = 5,880,000 < 6,000,000 → yes.

📌 So after 21 years.

📌 But inequality: \( t > 20 \), so smallest integer t is 21.

📌 A research project tracks invasive plant spread modeled by \( A(t) = 150e^{0.1t} \), where \( A \) is area in hectares. How long until the area triples from its initial value? Use \( \ln(3) \approx 1.0986 \).

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