To simplify the expression \( \frac{3}{4}(1440) + 295.25 + (-33.50) \), we can follow these steps:
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Calculate \( \frac{3}{4}(1440) \): \[ \frac{3}{4}(1440) = \frac{3 \times 1440}{4} = \frac{4320}{4} = 1080 \]
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Now replace this value in the original expression: \[ 1080 + 295.25 - 33.50 \]
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Combine \( 295.25 - 33.50 \): \[ 295.25 - 33.50 = 261.75 \]
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Now add this result to \( 1080 \): \[ 1080 + 261.75 = 1341.75 \]
Thus, the simplified expression is: \[ \boxed{1341.75} \]