To calculate how much Charlie paid for the pair of shorts after the 45% discount, follow these steps:
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Calculate the amount of the discount: \[ \text{Discount} = \text{Regular Price} \times \text{Discount Rate} = 24 \times 0.45 = 10.80 \]
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Subtract the discount from the regular price to find the sale price: \[ \text{Sale Price} = \text{Regular Price} - \text{Discount} = 24 - 10.80 = 13.20 \]
Thus, Charlie paid $13.20 for the pair of shorts.