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i am mexican-el moreno mexicano - AssociationVoting

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 The area of the circle is \( \pi \times 5^2 = 25\pi \).

📌 The shaded area is the area of the square minus the area of the circle: \( 100 - 25\pi \).

📌 Approximating \( \pi \) as 3.14, the shaded area is \( 100 - 25 \times 3.14 = 100 - 78.5 = 21.5 \) square units.

📌 #### 21.51.

📌 Una compañía produce widgets y los vende a un precio de $50 cada uno. El costo de producir cada widget es de $30, y hay un costo fijo de $2000 por mes. ¿Cuántos widgets debe vender la compañía en un mes para alcanzar el punto de equilibrio?

📌 Para alcanzar el punto de equilibrio, los ingresos totales deben ser iguales a los costos totales. Los ingresos totales por la venta de \( x \) widgets son \( 50x \). El costo total incluye el costo variable de producir \( x \) widgets y el costo fijo: \( 30x + 2000 \). Igualando estos, tenemos \( 50x = 30x + 2000 \).

📌 Restando \( 30x \) de ambos lados, obtenemos \( 20x = 2000 \).

📌 Dividiendo ambos lados entre 20, obtenemos \( x = \frac{2000}{20} = 100 \).

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