Question
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A laptop has a listed price of \( \$ 653.98 \) before tax. If the sales tax rate is \( 7.5 \% \), find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary.

Ask by Flynn Schneider. in the United States
Jan 26,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The total cost of the laptop with sales tax included is $703.03.

Solution

To find the total cost of the laptop with sales tax included, we need to calculate the sales tax amount and then add it to the listed price of the laptop. Given: - Listed price of the laptop = $653.98 - Sales tax rate = 7.5% 1. Calculate the sales tax amount: \[ \text{Sales Tax} = \text{Listed Price} \times \text{Sales Tax Rate} \] 2. Add the sales tax amount to the listed price to find the total cost: \[ \text{Total Cost} = \text{Listed Price} + \text{Sales Tax} \] Let's calculate the sales tax amount and the total cost. Calculate the value by following steps: - step0: Calculate: \(653.98\times 0.075\) - step1: Multiply the numbers: \(49.0485\) The sales tax amount is $49.0485. Now, let's calculate the total cost by adding the sales tax amount to the listed price of the laptop. Calculate the value by following steps: - step0: Calculate: \(653.98+49.0485\) - step1: Add the numbers: \(703.0285\) The total cost of the laptop with sales tax included is $703.0285. Rounding to the nearest cent, the total cost is $703.03.

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The Deep Dive

To find the total cost of the laptop including sales tax, we first need to calculate the amount of sales tax. The formula for sales tax is: \[ \text{Sales Tax} = \text{Price} \times \text{Tax Rate} \] Substituting in the values: \[ \text{Sales Tax} = 653.98 \times 0.075 = 49.049 \] Now, round this value to the nearest cent: \[ \text{Sales Tax} \approx 49.05 \] Next, add this sales tax to the original price: \[ \text{Total Cost} = \text{Price} + \text{Sales Tax} = 653.98 + 49.05 = 703.03 \] Therefore, the total cost of the laptop with sales tax included is \( \text{\$703.03} \).

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