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Home » First term \( a = 3 \), common ratio \( r = 0.5 \) - Treasure Valley Movers

First term \( a = 3 \), common ratio \( r = 0.5 \) - Treasure Valley Movers

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 An ichthyologist observes that a reef's parrotfish population grows by 15% annually in the absence of stress. However, due to coral bleaching, the population declined 40% in 2022, then grew by 15% in 2023. If the population was 8,000 in 2021, what was it in 2023?

📌 After 40% decline in 2022: 8000 × (1 – 0.40) = 8000 × 0.60 = <<8000*0.60=4800>>4800.

📌 Growth in 2023: 4800 × 1.15 = <<4800*1.15=5520>>5520.

📌 A linguist studies code-switching in bilingual communities. She finds that 70% of conversations involve switching between English and Spanish. Of those, 40% also include fragments of Native American languages. If she analyzes 350 conversations, how many include both English-Spanish switching and Native American language elements?

📌 English-Spanish switch: 0.70 × 350 = <<0.70*350=245>>245 conversations.

📌 Of these, with Native American language: 0.40 × 245 = <<0.40*245=98>>98.

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