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Home » Now subtract Eq 1 from Eq 2: - AMAZONAWS

Now subtract Eq 1 from Eq 2: - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 #### 105.04

📌 A micropaleontologist uses stable isotope analysis to date a sediment core. She finds that the ratio of oxygen-18 to oxygen-16 decreases by 0.3% every 1,000 years. If the current ratio is 2,000 parts per million (ppm), and the baseline ratio 10,000 years ago was higher, how many ppm was the ratio 10,000 years ago, assuming exponential decay?

📌 A 0.3% decrease per 1,000 years means each millennium, the ratio is multiplied by (1 - 0.003) = 0.997.

📌 Over 10,000 years = 10 intervals.

📌 So, current = initial × (0.997)^10

📌 Let initial = x

📌 Then 2000 = x × (0.997)^10

📌 So x = 2000 / 0.9703 ≈ 2061.8

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