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Home » Divide by 8: \( w = 12 \) - Decision Point

Divide by 8: \( w = 12 \) - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 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 \(x\).

📌 2x^2 - 2x + 3x - 3 = 40 \Rightarrow 2x^2 + x - 43 = 0

📌 x = \frac{-1 \pm \sqrt{1^2 + 4 \cdot 2 \cdot 43}}{2 \cdot 2} = \frac{-1 \pm \sqrt{345}}{4}

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