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3y - 2z = 0 \ - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 G(4) = 2×29 + 3 = <<2*29+3=61>>61

📌 G(5) = 2×61 + 3 = <<2*61+3=125>>125

📌 A civil engineer designs a flood-resistant bridge with a lifespan modeled by L = 50 × (1.03)^t years, where t is decades after construction. How many years will the bridge last beyond 75 years?

📌 Solve: 50 × (1.03)^t > 75 → (1.03)^t > 1.5

📌 Take log: t × log(1.03) > log(1.5) → t > 0.1761 / 0.012837 ≈ 13.72

📌 So t = 14 decades = 140 years total.

📌 Lifespan beyond 75 years: 140 − 75 = <<140-75=65>>65 years.

📌 #### 65**Question:** A circle has a radius of \( 5 \) units, and a square is inscribed within it. What is the area of the square? Express your answer in terms of \(\pi\).

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