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"Heart-Pounding Mother’s Day Quotes Inside: Stories Only Mom-To-Be’s Matter Most! - Carbonext

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 ### **1. Research Admin: Grant Allocation and Budgeting

📌 A government research agency distributes a total of $1,200,000 in annual grants among three major scientific divisions: Physical Sciences, Life Sciences, and Engineering. The Physical Sciences receive 25% more funding than Life Sciences, and Engineering receives $60,000 less than Life Sciences. How much does each division receive?

📌 Let the Life Sciences funding be \( x \) dollars.

📌 Then Physical Sciences receive \( 1.25x \), and Engineering receives \( x - 60,\!000 \).

📌 x + 1.25x + (x - 60,\!000) = 1,\!200,\!000

📌 3.25x - 60,\!000 = 1,\!200,\!000

📌 3.25x = 1,\!260,\!000

📌 x = \frac{1,\!260,\!000}{3.25} = 387,\!692.31

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