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Home » Future value: \(FV = P(1 + r)^t\). - Decision Point

Future value: \(FV = P(1 + r)^t\). - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 \(\sqrt{345} \approx 18.57\), so

📌 x = \frac{-1 + 18.57}{4} \approx \frac{17.57}{4} \approx 4.392

📌 Discard negative root.

📌 Answer:** \(\boxed{4.392}\)

📌 Probability – Carbon Footprint Risk

📌 A study finds that 30% of Oregon schools off-grid have solar systems. Of those, 85% reduce emissions by ≥40%. Among others, only 15% reduce emissions by that amount. What’s the probability a randomly selected school reduces emissions by ≥40%?

📌 Use law of total probability:

📌 P = P(\text{solar}) \cdot P(\text{reduce} \mid \text{solar}) + P(\text{no solar}) \cdot P(\text{reduce} \mid \text{no solar})

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