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Home » Let $ y_i = x_i - 1 $, so $ 0 \leq y_i \leq 5 $, and the equation becomes: - Network4

Let $ y_i = x_i - 1 $, so $ 0 \leq y_i \leq 5 $, and the equation becomes: - Network4

📅 May 20, 2026 👤 scraface

May 20, 2026

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📌 Current volume: \( 500 \times 0.60 = 300 \) liters.

📌 Volume needed to fill: \( 500 - 300 = 200 \) liters.

📌 A piece of equipment depreciates in value by 15% each year. If its initial value is $10,000, what will its value be after 5 years?

📌 Use the depreciation formula: \( V = P(1 - r)^n \).

📌 \( P = 10,000 \), \( r = 0.15 \), \( n = 5 \).

📌 Calculate: \( V = 10,000 \times (0.85)^5 \).

📌 \( (0.85)^5 \approx 0.4437 \), so \( V \approx 10,000 \times 0.4437 = 4,437 \).

📌 #### 4,437

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But confirm: could 38 be written as sum of distinct primes?
is even. Use multiple odd primes.
Try largest primes < 38: 37 + 1 â 1 not prime.
+ 2 = 39 > 38.
+ (next) too big. Try 31 + 7 = 38 â both primes, distinct â yes.
But 38 < 39 â smaller.
Similarly, 37 + 2 = 39 â better.
So 39 is valid and the largest.
Hence, the largest possible total duration is $ oxed{39} $.
Question: A deep learning model processes patient data in batches, eac...

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