To calculate the total cost of your restaurant outing, let's break down the expenses step by step.
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Calculate the cost of the food:
- Appetizer: $12.99
- Entrees: 2 x $12.99 = $25.98
- Dessert: $4.29
Total food cost = Appetizer + Entrees + Dessert \[ \text{Total food cost} = 12.99 + 25.98 + 4.29 = 43.26 \]
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Calculate the sales tax (6%): \[ \text{Sales tax} = 0.06 \times \text{Total food cost} = 0.06 \times 43.26 = 2.5956 \approx 2.60 \text{ (rounded to two decimal places)} \]
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Calculate total cost including tax: \[ \text{Total cost after tax} = \text{Total food cost} + \text{Sales tax} = 43.26 + 2.60 = 45.86 \]
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Calculate the tip (15%): \[ \text{Tip} = 0.15 \times \text{Total cost after tax} = 0.15 \times 45.86 = 6.879 \approx 6.88 \text{ (rounded to two decimal places)} \]
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Calculate the final total cost: \[ \text{Total outing cost} = \text{Total cost after tax} + \text{Tip} = 45.86 + 6.88 = 52.74 \]
Therefore, the total cost of your restaurant outing is $52.74.