To find the total cost of the shoes using the formula \( C = p + rp \), we will follow these steps:
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Identify the variables:
- \( p \) (price of the shoes) = $52.99
- \( r \) (sales tax rate) = 8% = 0.08 (as a decimal)
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Calculate the sales tax amount (\( rp \)): \( rp = r \times p = 0.08 \times 52.99 \)
\[ rp = 0.08 \times 52.99 = 4.2392 \]
Rounding to two decimal places (since we're dealing with currency), the sales tax is approximately $4.24.
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Now, calculate the total cost \( C \): \[ C = p + rp = 52.99 + 4.24 \]
\[ C = 57.23 \]
Therefore, the total cost of the shoes is $57.23.