Final answer:
The total cost of a $713 tablet computer after a 13% discount and addition of 7% sales tax is $663.73.
Step-by-step explanation:
To calculate the total cost of a $713 tablet computer with a 13% discount and a 7% sales tax, we need to perform two main calculations: the discount price reduction and the addition of sales tax on the discounted price.
First, we calculate the discount amount by converting the percentage to a decimal: $$713 \times 0.13 = $92.69$ reduction. Subtract this from the original price: $$713 - $92.69 = $620.31$ (discounted price).
Next, we calculate the sales tax by converting the 7% to a decimal and multiplying by the discounted price: $$620.31 \times 0.07 = $43.42$ in sales tax. Finally, add the tax to the discounted price to find the total cost: $$620.31 + $43.42 = $663.73$ (total cost).
To find the total cost of the tablet computer, first, calculate the discount by multiplying the original price ($713) by the discount rate (13%). $713 x 0.13 = $92.69. Next, subtract the discount from the original price to find the discounted price. $713 - $92.69 = $620.31. Then, calculate the sales tax by multiplying the discounted price ($620.31) by the sales tax rate (7%). $620.31 x 0.07 = $43.42. Finally, add the discounted price and the sales tax to get the total cost. $620.31 + $43.42 = $663.73. Therefore, the total cost of the tablet computer after the discount and sales tax is $663.73.