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Home » Evaluate the expression \( rac34 \cdot rac89 + rac13 - rac26 \). - Simpleprint

Evaluate the expression \( rac34 \cdot rac89 + rac13 - rac26 \). - Simpleprint

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 If \(\sin(\theta) = \frac{3}{5}\), and \(\theta\) is in the first quadrant, find \(\cos(\theta)\).

📌 Using the Pythagorean identity:

📌 \[ \sin^2(\theta) + \cos^2(\theta) = 1 \]

📌 \[ \cos^2(\theta) = 1 - \frac{9}{25} = \frac{16}{25} \]

📌 \[ \cos(\theta) = \frac{4}{5} \]

📌 A company's revenue follows the model \(R(t) = 5000e^{0.03t}\), where \(t\) is in years. Calculate the revenue after 5 years.

📌 Substitute \(t = 5\):

📌 \[ R(5) = 5000e^{0.03 \times 5} = 5000e^{0.15} \approx 5000 \times 1.161834 = 5809.17 \]

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