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Home » \(D' = 10x + 14\). Set to zero: - Simpleprint

\(D' = 10x + 14\). Set to zero: - Simpleprint

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 -0.03x = -120 \quad \Rightarrow \quad x = \frac{120}{0.03} = 4,000

📌 So, $4,000 is at 5% and $6,000 at 8%.

📌 #### $4,000 and $6,000

📌 A rectangular garden has a length that is 3 meters more than twice its width. If the perimeter is 54 meters, what are the dimensions of the garden?

📌 Let width = \(w\), then length = \(2w + 3\).

📌 Perimeter formula: \(2(\text{length} + \text{width}) = 54\)

📌 2(2w + 3 + w) = 54 \quad \Rightarrow \quad 2(3w + 3) = 54

📌 6w + 6 = 54 \quad \Rightarrow \quad 6w = 48 \quad \Rightarrow \quad w = 8

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