To calculate the total cost of Leiff's online purchase, we will follow these steps:
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Calculate the 15% discount on the video game: \[ \text{Discount} = 128 \times 0.15 = 19.20 \]
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Determine the price after discount: \[ \text{Price after discount} = 128 - 19.20 = 108.80 \]
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Calculate the sales tax on the discounted price: \[ \text{Sales Tax} = 108.80 \times 0.053 = 5.7694 \approx 5.77 \quad (\text{rounded to 2 decimal places}) \]
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Add the shipping fee: \[ \text{Total before shipping} = 108.80 + 5.77 = 114.57 \]
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Add the shipping cost: \[ \text{Total purchase} = 114.57 + 4.75 = 119.32 \]
Thus, the total of Leiff’s online purchase is $119.32.
Therefore, the answer is: d. $119.32.