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Home » f(g(x)) = x + 3 + 2\sqrtx+3 + 1 = x + 2\sqrtx+3 + 4 - Portal da AcÃºstica

f(g(x)) = x + 3 + 2\sqrtx+3 + 1 = x + 2\sqrtx+3 + 4 - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A plant biologist modifies a drought-resistant crop, increasing yield by 20% in the first season. Each subsequent season, the yield increases by 90% of the previous increase due to optimized gene expression. If the original yield was 500 kg per hectare, what is the total yield after 5 seasons?

📌 Original yield: 500 kg/ha

📌 Season 1: $ 500 \times 1.20 = 600 $, increase = 100 → but better: absolute yields form a recurrence.

📌 Let $ Y_n $ be yield in season $ n $.

📌 $ Y_1 = 500 \times 1.2 = 600 $

📌 Increase in season 1: 100

📌 Season 2 increase: $ 0.9 \times 100 = 90 $ → $ Y_2 = 600 + 90 = 690 $

📌 Season 3 increase: $ 0.9 \times 90 = 81 $ → $ Y_3 = 690 + 81 = 771 $

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