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indiana high school football state championship 2025 - Professionaloutdoormedia

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 An immunologist is studying the effectiveness of a new cancer treatment that decreases tumor volume by 15% each week. If the initial tumor volume is 200 cubic centimeters, what will the volume be after 10 weeks? Use the formula \( V(t) = V_0 \times (1 - r)^t \). Calculate \( V(t) \).

📌 Initial volume, \( V_0 = 200 \) cm\(^3\)

📌 Weekly decrease rate, \( r = 15\% = 0.15 \)

📌 Time, \( t = 10 \) weeks

📌 Exponential decay formula: \( V(t) = V_0 \times (1 - r)^t \)

📌 \[ V(t) = 200 \times (1 - 0.15)^{10} \]

📌 Calculate \( (0.85)^{10} \):

📌 \[ (0.85)^{10} \approx 0.1968744 \]

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