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Home » Since $ 78 > 50 $, this is valid. - AdVision eCommerce

Since $ 78 > 50 $, this is valid. - AdVision eCommerce

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 However, math: 0.0783 → 7.83%, but in context, often reported as 8%

📌 \( r = \frac{\ln(1.6)}{6} \approx \frac{0.4700}{6} \approx 0.07833 \) → 7.83% → rounded to nearest percent: 8%

📌 A palynologist finds that the ratio of birch to pine pollen halves every 150 years due to shifting vegetation. If the current ratio is 1:16, how many years ago was the ratio 1:1?

📌 Let ratio \( R(t) = R_0 \cdot (0.5)^{t/150} \)

📌 Set \( R(t) = 1/16 \), \( R_0 = 1 \) (since 1:16 corresponds to \( R(0):R_\infty = 1:16 \), but better: let initial be \( R_\infty / 16 \)?

📌 Better: at time \( t \), \( R(t) = \frac{1}{16} \cdot (1/2)^{t/150} \)

📌 Set this equal to 1: because ratio is birch:pine, and today it’s 1:16 → so \( R(t) = 1/16 \) today

📌 We want when ratio was 1:1, i.e., 1

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