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Home » Hence, the total number of lattice points is $\boxed30$. - Treasure Valley Movers

Hence, the total number of lattice points is $\boxed30$. - Treasure Valley Movers

📅 April 17, 2026 👤 scraface

Apr 17, 2026

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📌 A science policy analyst is evaluating the impact of research grants. If a grant of $50,000 increases a lab's output by 20%, and a second grant of $30,000 increases output by an additional 15%, by what percentage does the total grant increase the lab's output?

📌 Calculate the first increase:

📌 \( 50,000 imes 0.20 = 10,000 \) increase for the first grant.

📌 Calculate the second increase on the new total:

📌 \( (50,000 + 10,000) imes 0.15 = 60,000 imes 0.15 = 9,000 \)

📌 Total increase in output from grants: \( 10,000 + 9,000 = 19,000 \).

📌 Total grant amount: \( 50,000 + 30,000 = 80,000 \).

📌 Calculate the overall percentage increase:

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