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\[ A = 10,000 \left(1.0125\right)^12 \] - AMAZONAWS
\[ A = 10,000 \left(1.0125\right)^12 \] - AMAZONAWS
📅 March 6, 2026
👤 scraface
Mar 06, 2026
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📌 So the maximum height is $ \boxed{5} $.
📌 Question: A city planner is designing a periodic stormwater drainage system that follows a sinusoidal pattern over the year. The water level is modeled by $ w(t) = 7\sin\left(\frac{\pi}{6}t\right) + 24\cos\left(\frac{\pi}{6}t\right) $, where $ t $ is in months. What is the maximum water level, and when does it first occur?