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Home » Thus, the closest point is \(\left(-rac75, rac15 - Midis

Thus, the closest point is \(\left(-rac75, rac15 - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Using the perpendicular from center to chord: split chord in half → 150 m

📌 Radius = 200 m, half-chord = 150 m

📌 Using Pythagorean theorem: distance = √(200² - 150²) = √(40,000 - 22,500) = √17,500 ≈ 132.29

📌 #### 132.29

📌 A startup’s revenue grows according to the function R(t) = 5000(1.12)^t, where t is time in months. How many months will it take for revenue to exceed $20,000?

📌 Set 5000 × (1.12)^t > 20,000 → (1.12)^t > 4

📌 Take log: t × log(1.12) > log(4) → t > log(4)/log(1.12) ≈ 0.60206 / 0.04922 ≈ 12.23

📌 Since t must be integer, t = 13 months

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