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Home » Found My Spirit Animal Tonight—You Won’t Believe How It Changed Me! - Simpleprint

Found My Spirit Animal Tonight—You Won’t Believe How It Changed Me! - Simpleprint

📅 March 16, 2026 👤 scraface

Mar 16, 2026

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📌 A watershed's water retention capacity is modeled as decreasing linearly by 120,000 m³ per year due to land development. If the current capacity is 8.4 million m³, in how many years will it drop below 6 million m³?

📌 Let \( t \) be years. Capacity = \( 8,400,000 - 120,000t \)

📌 Set: \( 8,400,000 - 120,000t < 6,000,000 \)

📌 Subtract: \( 2,400,000 < 120,000t \)

📌 Divide: \( t > 2,400,000 / 120,000 = 20 \)

📌 So after 21 years, it drops below. But the question asks when it *drops below* — first time ≥ 6M is at t=20, so below at t > 20 → first full year is 21, but "in how many years" means smallest integer t such that condition holds → t = 21

📌 But numerically: \( t = 20 \) gives exactly 6M → needs to go below, so t = 21

📌 However, math solution: \( t > 20 \), so after 20 years it reaches 6M, so below at t = 21? But standard interpretation: "in how many years" = smallest integer solving inequality.

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