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Home » Simplifying, \(\frac5d120 = 5\). - Groen Casting

Simplifying, \(\frac5d120 = 5\). - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A company produces 500 units of a product in 5 days. If production increases by 20% each day starting from the sixth day, how many units are produced on the seventh day?

📌 Daily production for the first 5 days is \( \frac{500}{5} = 100 \) units/day.

📌 On the sixth day, production increases by 20%: \(100 + 0.2 \times 100 = 120\) units.

📌 On the seventh day, production again increases by 20%: \(120 + 0.2 \times 120 = 144\) units.

📌 #### 144 units

📌 The length of a diagonal of a square is 10 cm. What is the perimeter of the square?

📌 The diagonal \(d\) of a square with side \(s\) is given by \(d = s\sqrt{2}\).

📌 Solving for \(s\), we have \(s = \frac{10}{\sqrt{2}} = \frac{10 \times \sqrt{2}}{2} = 5\sqrt{2}\) cm.

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