A camera has a listed price of \( \$ 845.98 \) before tax. If the sales tax rate is \( 7.5 \% \), find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.

To find the total cost of the camera with sales tax included, we can follow these steps: 1. **Calculate the sales tax amount**: The sales tax can be calculated using the formula: \[ \text{Sales Tax} = \text{Price} \times \text{Tax Rate} \] where the price is \( 845.98 \) and the tax rate is \( 7.5\% \) (or \( 0.075 \) in decimal form). 2. **Calculate the total cost**: The total cost can be calculated by adding the sales tax to the original price: \[ \text{Total Cost} = \text{Price} + \text{Sales Tax} \] Now, let's perform the calculations step by step. ### Step 1: Calculate the Sales Tax \[ \text{Sales Tax} = 845.98 \times 0.075 \] ### Step 2: Calculate the Total Cost \[ \text{Total Cost} = 845.98 + \text{Sales Tax} \] Let's calculate these values. Calculate the value by following steps: - step0: Calculate: \(845.98\times 0.075\) - step1: Multiply the numbers: \(63.4485\) Calculate or simplify the expression \( 845.98 + (845.98 * 0.075) \). Calculate the value by following steps: - step0: Calculate: \(845.98+\left(845.98\times 0.075\right)\) - step1: Multiply the numbers: \(845.98+63.4485\) - step2: Add the numbers: \(909.4285\) ### Step 1: Calculate the Sales Tax The sales tax calculated is: \[ \text{Sales Tax} = 63.4485 \] ### Step 2: Calculate the Total Cost Now, adding the sales tax to the original price: \[ \text{Total Cost} = 845.98 + 63.4485 = 909.4285 \] ### Rounding to the Nearest Cent The total cost rounded to the nearest cent is: \[ \text{Total Cost} \approx 909.43 \] Thus, the total cost of the camera with sales tax included is **\$909.43**.