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Home » Height B: 3 + 1.5d - 500apps

Height B: 3 + 1.5d - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 #### 0.803

📌 A developer implements a fade-out effect where brightness decreases by 10% each second. If initial brightness is 800 lux, what is the brightness after 7 seconds?

📌 Model: \( B(t) = 800 \cdot (0.9)^t \).

📌 \( B(7) = 800 \cdot (0.9)^7 \approx 800 \cdot 0.4783 = 382.64 \) lux.

📌 #### 382.64

📌 A biotech company’s stock value grows continuously at 8% per year. If an investor buys $10,000 worth, what will the value be after 5 years?

📌 Use \( A = Pe^{rt} = 10000 \cdot e^{0.08 \cdot 5} = 10000 \cdot e^{0.4} \approx 10000 \cdot 1.4918 = 14918 \).

📌 #### 14918**Question:** A museum curator is organizing a display of 7 unique historical scientific instruments, but the virtual cataloging system can only showcase 4 at a time. How many different sets of 4 instruments can be chosen from the 7?

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