To calculate the total bill, first, we need to find the total cost of the drinks and the entrée before tax.
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Calculate the cost of the drinks: \[ \text{Cost of drinks} = 2 \times 2.49 = 4.98 \]
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Cost of the entrée: \[ \text{Cost of entrée} = 12.95 \]
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Total cost before tax: \[ \text{Total before tax} = \text{Cost of drinks} + \text{Cost of entrée} = 4.98 + 12.95 = 17.93 \]
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Calculate the sales tax (5%): \[ \text{Tax} = 0.05 \times 17.93 = 0.8965 \]
Rounding this to two decimal places gives us: \[ \text{Tax} \approx 0.90 \]
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Total bill including tax: \[ \text{Total bill} = \text{Total before tax} + \text{Tax} = 17.93 + 0.90 = 18.83 \]
Therefore, the total bill is $18.83.