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is moana 2 on disney plus - Sourci

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 5Question: A herpetologist is monitoring a population of endangered frogs in a Southeast Asian rainforest. She observes that the population increases by 8% every month, but due to habitat loss, 150 frogs disappear each month. If the current population is 2000 frogs, after how many full months will the population first exceed 2500 frogs?

📌 Solution: Let $ P_n $ represent the frog population after $ n $ months. The population grows by 8% monthly, so each month it is multiplied by 1.08, and then 150 frogs are lost. Starting with $ P_0 = 2000 $, the recurrence relation is:

📌 We compute each months population until it exceeds 2500:

📌 The population first exceeds 2500 during month 22.

📌 Wait — its increasing? Lets check: reinit for accuracy.

📌 Wait — lets recalculate day 12 correctly:

📌 But that cant be — perhaps error in model.

📌 Wait — is regeneration applied after new damage? Yes, per day: damage increases by 0.4, then 12% of current area is healed.

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