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Home » Let’s compute this directly using the identity: - Leaselab

Let’s compute this directly using the identity: - Leaselab

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 Check using the Pythagorean theorem: \( 7^2 + 24^2 = 49 + 576 = 625 \).

📌 A car rental company charges $50 per day plus $0.20 per mile driven. If a customer rents a car for 3 days and drives 150 miles, what is the total cost?

📌 Daily charge is \( 3 \times 50 = 150 \) dollars.

📌 Mileage charge is \( 150 \times 0.20 = 30 \) dollars.

📌 Total cost is \( 150 + 30 = 180 \) dollars.

📌 The difference is \( (n+1)^2 - n^2 = 2n + 1 = 35 \).

📌 Solving \( 2n + 1 = 35 \) gives \( 2n = 34 \) and \( n = 17 \).

📌 The integers are 17 and 18.

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