To calculate the total price for the video game including tax, we first need to determine the amount of sales tax and then add it to the base price.
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Calculate the sales tax: \[ \text{Sales tax} = \text{Price} \times \text{Tax rate} = 72.99 \times 0.065 \]
Now perform the multiplication: \[ 72.99 \times 0.065 = 4.74435 \]
We round this figure to the nearest hundredth: \[ \text{Sales tax rounded} = 4.74 \]
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Calculate the total price: \[ \text{Total price} = \text{Price} + \text{Sales tax} = 72.99 + 4.74 \]
Now perform the addition: \[ 72.99 + 4.74 = 77.73 \]
Therefore, the total price for the video game, including tax, is $77.73.