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Home » Factor the first equation: \( (x-y)(x+y) = 45 \). - Sterling Industries

Factor the first equation: \( (x-y)(x+y) = 45 \). - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 $ Y_2 = Y_1 + d_1 $, $ Y_3 = Y_2 + d_2 $, ..., $ Y_5 = Y_4 + d_4 $? No — each increase is applied once per season.

📌 Better: The *amount* added in year $ n $ is $ I_n $, where $ I_1 = 100 $, $ I_2 = 0.9 \times 100 = 90 $, $ I_3 = 0.9 \times 90 = 81 $, $ I_4 = 72.9 $, $ I_5 = 65.61 $

📌 Then $ Y_1 = 600 $

📌 $ Y_2 = 600 + 100 = 700 $

📌 $ Y_3 = 700 + 90 = 790 $

📌 $ Y_4 = 790 + 81 = 871 $

📌 $ Y_5 = 871 + 72.9 = 943.9 $

📌 $ Y_6 = 943.9 + 65.61 = 1009.51 $ — but we want only 5 seasons.

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