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.
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.
Solution
Solution Steps
Step 1: Calculate Sales Tax Amount
To find the sales tax amount, we use the formula:
\[
\text{Sales Tax Amount} = \text{Listed Price} \times \text{Sales Tax Rate}
\]
Substituting the given values:
\[
\text{Sales Tax Amount} = 811.99 \times 0.095 = 77.13905
\]
Step 2: Calculate Total Cost
Next, we calculate the total cost by adding the sales tax amount to the listed price:
\[
\text{Total Cost} = \text{Listed Price} + \text{Sales Tax Amount}
\]
Substituting the values:
\[
\text{Total Cost} = 811.99 + 77.13905 = 889.12905
\]
Step 3: Round Total Cost
Finally, we round the total cost to the nearest cent:
\[
\text{Total Cost (rounded)} = 889.13
\]