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Home » Area of the region is \(100 - 25\pi\). - jntua results

Area of the region is \(100 - 25\pi\). - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Volume of a cylinder formula: \(\pi r^2 h\)

📌 Radius \(r = 3 \, ext{m}\), Height \(h = 5 \, ext{m}\)

📌 \(3.14 imes (3^2) imes 5 = 3.14 imes 9 imes 5 = 141.3 \, ext{cubic meters}\)

📌 Question:** A company's profit increased by 25% in the first quarter and then decreased by 10% in the second quarter. If the original profit was $100,000, what was the profit at the end of the second quarter?

📌 \(100,000 + (25\% imes 100,000) = 100,000 + 25,000 = 125,000\)

📌 Second quarter decrease:

📌 \(125,000 - (10\% imes 125,000) = 125,000 - 12,500 = 112,500\)

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Factor out \(-16\) from \( y \)-terms:
-16(y^2 - 4y)
y^2 - 4y = (y - 2)^2 - 4
-16((y - 2)^2 - 4) = -16(y - 2)^2 + 64
Substitute and simplify:
Substitute squares back into the equation:
9(x - 3)^2 - 81 - 16(y - 2)^2 + 64 = 71
9(x - 3)^2 - 16(y - 2)^2 = 88
Normalize the equation:
Divide the entire equation by 88:

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