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Home » Use the vertex formula \(x = -\fracb2a\): - Groen Casting

Use the vertex formula \(x = -\fracb2a\): - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \( w = \frac{-2 \pm \sqrt{2^2 - 4(1)(-52)}}{2} = \frac{-2 \pm \sqrt{4 + 208}}{2} = \frac{-2 \pm \sqrt{212}}{2} \)

📌 \( \sqrt{212} = \sqrt{4 \times 53} = 2\sqrt{53} \approx 2 \times 7.28 = 14.56 \)

📌 \( w = \frac{-2 + 14.56}{2} = \frac{12.56}{2} = 6.28 \)

📌 Width ≈ 6.28 meters.

📌 The population of a town grows by 5% annually. If it was 8,000 in 2020, what will it be in 2025?

📌 Growth factor = 1.05 per year.

📌 Number of years = 5.

📌 Population = \( 8000 \times (1.05)^5 \)

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