To find out how much money Riley needs to earn to purchase the jacket, we first need to calculate the total cost, including sales tax.
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Calculate the sales tax: \[ \text{Sales tax} = \text{Price} \times \text{Tax rate} \] \[ \text{Sales tax} = 50 \times 0.0725 = 3.625 \]
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Calculate the total cost: \[ \text{Total cost} = \text{Price} + \text{Sales tax} \] \[ \text{Total cost} = 50 + 3.625 = 53.625 \]
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Round to the nearest dollar: Rounding \(53.625\) gives \(54\).
Thus, Riley needs to earn $54 to purchase the jacket.