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A marine biologist reports that a genetically engineered coral species grows at a rate of 1.4 times per year, compared to 0.8 times for natural coral. If a reef starts with 200 mature fragments of each, what is the positive difference in population after 2 years?
Engineered: \( 200 \times 1.4^2 = 200 \times 1.96 = 392 \)
Natural: \( 200 \times 0.8^2 = 200 \times 0.64 = 128 \)
Difference = 392 - 128 = 264
#### 264
The data analyst finds that reducing patient readmission rates in 8 clinics led to an average drop from 18% to 12%. If each clinic serves 250 patients annually, how many fewer readmissions occurred citywide due to this improvement?
Reduction per clinic: \( 250 \times (0.18 - 0.12) = 250 \times 0.06 = 15 \)
Total fewer readmissions = 8 × 15 = 120
The soil scientist determines that crop rotation increases soil organic matter by 0.3% per year, while continuous planting decreases it by 0.1% per year. If a field starts at 2.5% organic matter, what will the level be after 3 years using rotation, and how much more than continuous planting is the increase?
With rotation: \( 2.5 + 3 \times 0.3 = 2.5 + 0.9 = 3.4\% \)