Respuesta :
well, the pencils are 9 bucks, but they're selling for 9.63, meaning the tax is 0.63 or 63 cents.
now, if we take 9 to be the 100%, what is 0.63 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 9&100\\ 0.63&t \end{array}\implies \cfrac{9}{0.63}=\cfrac{100}{t}\implies t=\cfrac{0.63\cdot 100}{9}[/tex]
now, if we take 9 to be the 100%, what is 0.63 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 9&100\\ 0.63&t \end{array}\implies \cfrac{9}{0.63}=\cfrac{100}{t}\implies t=\cfrac{0.63\cdot 100}{9}[/tex]
Answer:
The sales tax rate is 7%.
Step-by-step explanation:
This question can be solved by a simple rule of three.
It sells for $9.00. The total cost is $9.63. So 9.63-9 = 0.63 is of taxes.
9 - 1
0.63 - x
[tex]9x = 0.63[/tex]
[tex]x = 0.07[/tex]
The sales tax rate is 7%.