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Home » The 5th term is \(2 \times 3^4 = 2 \times 81 = 162\). - Ready Digital AB

The 5th term is \(2 \times 3^4 = 2 \times 81 = 162\). - Ready Digital AB

📅 March 7, 2026 👤 scraface

Mar 07, 2026

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📌 A linguist studies lexical borrowing in a multilingual city. She finds that 30% of Mandarin speakers use Japanese loanwords, 22% of Spanish speakers use Japanese borrowings, and 8% use both. If 5,000 people speak Mandarin and 7,000 speak Spanish, how many use Japanese loanwords in either language?

📌 Only Mandarin: 30% – 8% = 22%.

📌 Mandarin using borrowings: 0.22 × 5000 = <<0.22*5000=1100>>1100.

📌 Only Spanish: 22% – 8% = 14%.

📌 Spanish using borrowings: 0.14 × 7000 = <<0.14*7000=980>>980.

📌 Both: 8% of total: 0.08 × (5000 + 7000) = 0.08 × 12000 = <<0.08*12000=960>>960.

📌 Total using borrowings: 1100 + 980 + 960 = <<1100+980+960=3040>>3040.

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