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A & racB2 & racD2 \ - Decision Point

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Algebra – Exponential Growth in Tree Planting

📌 An environmental design project plants 50 trees in year 1, and the number increases by 20% annually. How many trees are planted in year 5?

📌 Use geometric sequence: \(a_n = a \cdot r^{n-1}\)

📌 \(a = 50\), \(r = 1.2\), \(n = 5\)

📌 a_5 = 50 \cdot (1.2)^4 = 50 \cdot 2.0736 = 103.68 \approx 104

📌 Answer:** \(\boxed{104}\)

📌 Geometry – Solar Panel Surface Area

📌 A rectangular solar panel has length \(2x + 3\) meters and width \(x - 1\) meters. If the area is 40 m², find \(x\).

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