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\( a_1 = rac12 \) - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Question: How many positive 4-digit numbers are divisible by 11?

📌 Solution: The smallest 4-digit number is 1000, and the largest is 9999.

📌 We find the smallest 4-digit number divisible by 11 by dividing 1000 by 11:

📌 \left\lceil \frac{1000}{11} \right\rceil = \left\lceil 90.91 \right\rceil = 91

📌 So the smallest 4-digit number divisible by 11 is $ 11 \times 91 = 1001 $.

📌 Now, divide 9999 by 11 to find the largest:

📌 \left\lfloor \frac{9999}{11} \right\rfloor = \left\lfloor 909 \right\rfloor = 909

📌 So the largest 4-digit number divisible by 11 is $ 11 \times 909 = 9999 $.

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Rate of change is \( C'(t) = \frac{d}{dt}\left(10(t+2)^{-1}\right) = -...
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