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2x^2 + 4x + 4 - 16 = 0 - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 Shaded area is \( 144 - 36\pi \) cm².

📌 Approximating \( \pi \approx 3.14 \), the shaded area is \( 144 - 113.04 \approx 30.96 \) cm².

📌 #### 30.96

📌 A company produces widgets with a cost function \( C(x) = 50x + 2000 \) and a revenue function \( R(x) = 80x \). Find the break-even point where cost equals revenue.

📌 Set \( C(x) = R(x) \): \( 50x + 2000 = 80x \).

📌 Solving for \( x \), \( 2000 = 30x \) gives \( x = \frac{2000}{30} \approx 66.67 \).

📌 Since \( x \) must be whole, the company breaks even at 67 widgets.

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