Q3. - Algebra 1

Question

SHOPPING A new DVD costs $24.99. If the sales tax is 6.85% what is the total cost?

Step-by-Step Solution

Answer

The total cost of the DVD is $\$26.701$.

Step 1. Use the definition of the percentage change.

The percent change is the increase or decrease in the value of a quantity. If the new value is larger than the original value then it is a percent increase and if the change in value is lesser than the original value it is called percentage decrease.

Step 2. Find the percentage change.

We are given that New DVD costs $24.99. And the sales tax on DVD is 6.85%.

Total cost is a percent of increase because the new amount is more than the original. 

Amount to be paid as sales tax is: 

 $\begin{array}{l}=\$24.99\times 6.85\%\\ =24.99\times \frac{6.85}{100}\\ =\frac{2499}{100}\times \frac{685}{10000}\\ =\frac{1711815}{1000000}\\ =\$1.711\end{array}$

  

Step 3. Find total cost.

The total cost per year is

 $\begin{array}{l}\text{\$24.99 + \$1.711}\\ \text{\$26.701}\end{array}$.

Thus the total cost of the DVD is $26.701.