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Home » We use trigonometric identities to simplify and analyze the expression. Recall: - AMAZONAWS

We use trigonometric identities to simplify and analyze the expression. Recall: - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 Let $ t $ be the number of months after which both zones have the same number of coral colonies.

📌 Growth in Zone Alpha: $ 200 \times (1.05)^t $

📌 Growth in Zone Beta: $ 300 \times (1.03)^t $

📌 Set them equal:

📌 200(1.05)^t = 300(1.03)^t

📌 Divide both sides by 100:

📌 2(1.05)^t = 3(1.03)^t

📌 \ln(2) + t \ln(1.05) = \ln(3) + t \ln(1.03)

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