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Home » Use the formula \(A = P(1 + r)^n\): - Imagemakers

Use the formula \(A = P(1 + r)^n\): - Imagemakers

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 5Question: A soil microbiologist purchases 5 units of bacterial culture X and 3 units of fungus Y for \$45.00, and 2 units of X and 4 units of Y for \$32.00. What is the cost of one unit of X in cents?

📌 Solution: Let $ x $ be the cost of one unit of X (in dollars) and $ y $ be the cost of one unit of Y (in dollars). The system of equations is:

📌 5x + 3y = 45.00 \\

📌 2x + 4y = 32.00

📌 Multiply the first equation by 4 and the second by 3 to eliminate $ y $:

📌 20x + 12y = 180.00 \\

📌 6x + 12y = 96.00

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