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Home » Substitute \( k = 2h - 4 \) into the first equation: - Simpleprint

Substitute \( k = 2h - 4 \) into the first equation: - Simpleprint

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 It is a right triangle. The area is:

📌 \[ \frac{1}{2} \times 7 \times 24 = 84 \, \text{square cm} \]

📌 #### 841. A company produces widgets at a rate constant of 0.05 per day. If the initial inventory is 200 widgets, calculate the expected inventory after 30 days using the exponential growth model.

📌 The exponential growth model is given by \( N(t) = N_0 e^{kt} \), where \( N_0 = 200 \), \( k = 0.05 \), and \( t = 30 \).

📌 N(30) = 200 \cdot e^{0.05 \times 30} = 200 \cdot e^{1.5} \approx 200 \cdot 4.4817 = 896.34

📌 The expected inventory after 30 days is approximately 896 widgets.

📌 A ball is thrown upward with an initial velocity of 20 m/s from a height of 5 meters. Determine the maximum height reached by the ball using the kinematic equations, assuming acceleration due to gravity is \( -9.8 \, \text{m/s}^2 \).

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