Answer:
Sales tax = 7%.
Step-by-step explanation:
Let x be the percent of sales tax.
We have been given that Lisa buys a television for $4185. The sales tax is $292.95.
We need to figure out x such that x percent of 4185 equals to 292.95. Let us represent this information in an equation.
[tex]\frac{x}{100}*4185=292.95[/tex]
Let us multiply both sides of equation by 100.
[tex]100*\frac{x}{100}*4185=100*292.95[/tex]
[tex]x*4185=29295[/tex]
[tex]x=\frac{29295}{4185}[/tex]
[tex]x=7[/tex]
Therefore, sales tax is 7%.
Let us cross check our answer by calculating 7% of 4185.
[tex]7\%\text{ of } 4185=\frac{7}{100}\times 4185[/tex]
[tex]7\%\text{ of } 4185=0.07\times 4185[/tex]
[tex]7\%\text{ of } 4185=292.95[/tex]
We can see that 7% of 4185 is 292.95. Hence, sales tax is 7%.
