To find out how much money Ethan needs to earn to purchase the Nikes, we first need to calculate the total cost, including sales tax.
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Calculate Sales Tax: The sales tax can be calculated by multiplying the price of the Nikes by the sales tax rate.
\[ \text{Sales Tax} = \text{Price} \times \text{Sales Tax Rate} \] \[ \text{Sales Tax} = 79.99 \times 0.0725 = 5.794775 \]
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Round the Sales Tax: Rounding to the nearest hundredth, the sales tax is:
\[ \text{Sales Tax} \approx 5.79 \]
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Calculate Total Cost: Now, add the sales tax to the original price to find the total cost.
\[ \text{Total Cost} = \text{Price} + \text{Sales Tax} \] \[ \text{Total Cost} = 79.99 + 5.79 = 85.78 \]
Thus, Ethan needs to earn $85.78 to purchase the new Nikes.