Question

What is the total cost of a $712 tablet computer that is on sale at 11% off if the local sales tax rate is 5%?

Answer 1

To calculate the total cost of the tablet after the discount and including sales tax, follow these steps:

1. **Calculate the discount amount**:
\[
\text{Discount} = \text{Original Price} \times \text{Discount Rate} = 712 \times 0.11
\]
\[
\text{Discount} = 712 \times 0.11 = 78.32
\]

2. **Subtract the discount from the original price to find the sale price**:
\[
\text{Sale Price} = \text{Original Price} - \text{Discount} = 712 - 78.32
\]
\[
\text{Sale Price} = 633.68
\]

3. **Calculate the sales tax on the sale price**:
\[
\text{Sales Tax} = \text{Sale Price} \times \text{Sales Tax Rate} = 633.68 \times 0.05
\]
\[
\text{Sales Tax} = 633.68 \times 0.05 = 31.684
\]

4. **Add the sales tax to the sale price to find the total cost**:
\[
\text{Total Cost} = \text{Sale Price} + \text{Sales Tax} = 633.68 + 31.684
\]
\[
\text{Total Cost} \approx 665.364
\]

Rounding to two decimal places, the total cost of the tablet is approximately:
\[
\text{Total Cost} \approx 665.36
\]

So, the total cost of the tablet computer is **$665.36**.