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Home » #### 420Question: How many integers between 1 and 500 are congruent to 2 mod 7? - Crosslake

#### 420Question: How many integers between 1 and 500 are congruent to 2 mod 7? - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 An angel investor divides $1,800,000 among three biotech startups. The first receives 40%, the second 35%, and the third the rest. The third startup uses its funding to grow at a continuous annual rate of 18% for 2 years. What is its value after 2 years? (Use A = Pe^(rt), where e ≈ 2.718)

📌 Third startup: 100% – 40% – 35% = 25% → 0.25×1,800,000 = $450,000

📌 Formula: A = 450,000 × e^(0.18×2) = 450,000 × e^0.36

📌 e^0.36 ≈ 1.4333 (using approximation)

📌 A ≈ 450,000 × 1.4333 = 644,985

📌 #### 644985

📌 A programmer is preprocessing medical reports using NLP. The dataset contains 8,000 documents. On the first day, 15% are processed. On the second, 20% of the remaining. On the third, 25% of what’s left. On the fourth, 30% of the rest. How many documents remain unprocessed?

📌 Day 1: 15% of 8,000 = 1,200 processed; remaining = 6,800

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