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Home » A 12% gain on an investment yields $480. What was the original investment? - AMAZONAWS

A 12% gain on an investment yields $480. What was the original investment? - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

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📌 A triangle has side lengths 13 cm, 14 cm, and 15 cm. What is its area using Heron’s formula?

📌 Semi-perimeter: \( s = \frac{13+14+15}{2} = 21 \) cm

📌 Area: \( \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{21(21-13)(21-14)(21-15)} \)

📌 \( = \sqrt{21 \times 8 \times 7 \times 6} = \sqrt{7056} = 84 \) cm²

📌 #### 84 cm²

📌 A ball is thrown upward with initial velocity 32 m/s from 20 meters high. When does it hit the ground? (Use \( g = 9.8 \, \text{m/s}^2 \))

📌 Equation: \( h(t) = -4.9t^2 + 32t + 20 \)

📌 Set \( h(t) = 0 \): \( -4.9t^2 + 32t + 20 = 0 \)

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