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Home » $ 108 = 2^2 \cdot 3^3 $ - 500apps

$ 108 = 2^2 \cdot 3^3 $ - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 A healthcare analyst models patient wait times: with a new scheduling system, wait times drop by 20% in emergency departments. If the original average wait was 50 minutes, and a patient arrives immediately after a 50-minute wait, how many minutes shorter is the new wait, and what is the new wait time?

📌 Drop = \( 0.2 \times 50 = 10 \) minutes

📌 New wait = 50 - 10 = 40 minutes

📌 Shorter by 10 minutes

📌 The soil scientist applies compost to increase microbial biomass. Results show a 15% weekly increase in a 400 mg/kg soil sample. What is the biomass (mg/kg) after 3 weeks, to the nearest whole number?

📌 After 1 week: \( 400 \times 1.15 = 460 \)

📌 After 2: \( 460 \times 1.15 = 529 \)

📌 After 3: \( 529 \times 1.15 = 608.35 \approx 608 \) mg/kg

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