Questions: A camera has a listed price of 811.99 before tax. If the sales tax rate is 9.5%, find the total cost of the camera. Round your answer to the nearest cent, as necessary.

A camera has a listed price of 811.99 before tax. If the sales tax rate is 9.5%, find the total cost of the camera. Round your answer to the nearest cent, as necessary.
Transcript text: A camera has a listed price of $\$ 811.99$ before tax. If the sales tax rate is $9.5 \%$, find the total cost of the camera. Round your answer to the nearest cent, as necessary.
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Solution

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Solution Steps

Step 1: Calculate Sales Tax Amount

To find the sales tax amount, we use the formula: Sales Tax Amount=Listed Price×Sales Tax Rate \text{Sales Tax Amount} = \text{Listed Price} \times \text{Sales Tax Rate} Substituting the given values: Sales Tax Amount=811.99×0.095=77.13905 \text{Sales Tax Amount} = 811.99 \times 0.095 = 77.13905

Step 2: Calculate Total Cost

Next, we calculate the total cost by adding the sales tax amount to the listed price: Total Cost=Listed Price+Sales Tax Amount \text{Total Cost} = \text{Listed Price} + \text{Sales Tax Amount} Substituting the values: Total Cost=811.99+77.13905=889.12905 \text{Total Cost} = 811.99 + 77.13905 = 889.12905

Step 3: Round Total Cost

Finally, we round the total cost to the nearest cent: Total Cost (rounded)=889.13 \text{Total Cost (rounded)} = 889.13

Final Answer

889.13\boxed{889.13}

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