Respuesta :
The sales tax that should be paid in dollars on the new price is $22
Further explanation
Order of Operations in Mathematics follow this following rule :
- Parentheses
- Exponents
- Multiplication and Division
- Addition and Subtraction
This rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.
Let us tackle the problem !
Given:
Initial Price = $550
Sales Tax = 3%
Percentage of Price Increase = 33¹/₃ %
Unknown:
Final Sales Tax = ?
Solution:
[tex]\texttt{Final Price} = \texttt{Initial Price} \times (100\% + \texttt{Percentage of Price Increase} )[/tex]
[tex]\texttt{Final Price} = \$550 \times (100\% + 33\frac{1}{3}\% )[/tex]
[tex]\texttt{Final Price} = \$550 \times (100\% + \frac{100}{3}\% )[/tex]
[tex]\texttt{Final Price} = \$550 \times (\frac{300}{3}\% + \frac{100}{3}\% )[/tex]
[tex]\texttt{Final Price} = \$550 \times (\frac{400}{3}\%)[/tex]
[tex]\texttt{Final Price} = \$550 \times (\frac{4}{3})[/tex]
[tex]\texttt{ }[/tex]
[tex]\texttt{Final Sales Tax} = 3\% \times \texttt{Final Price}[/tex]
[tex]\texttt{Final Sales Tax} = 3\% \times \$550 \times (\frac{4}{3})[/tex]
[tex]\texttt{Final Sales Tax} = \frac{3}{100} \times (\frac{4}{3}) \times \$550[/tex]
[tex]\texttt{Final Sales Tax} = \frac{4}{100} \times \$550[/tex]
[tex]\texttt{Final Sales Tax} = 4 \times \$5.5[/tex]
[tex]\texttt{Final Sales Tax} = \$22[/tex]
[tex]\texttt{ }[/tex]
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Answer details
Grade: Middle School
Subject: Mathematics
Chapter: Percentage
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces
The sales tax should be paid in dollars on the new price is [tex]\boxed{\$ 22}.[/tex]
Further Explanation:
Given:
The listed price of furniture is [tex]\$550.[/tex]
The sales tax is of [tex]3\%[/tex] on the listed price.
The price is increased by [tex]33\dfrac{1}{3}\%.[/tex]
Calculation:
The increased price of the furniture can be obtained as follows,
[tex]\begin{aligned}{\text{Increased price}} &= 550 + \left( {33\frac{1}{3}\% \times 550} \right)\\&= 550 + \left( {\frac{{33.34}}{{100}} \times 550} \right)\\&= 550 + 0.3333 \times 550\\&= 550 + 183.32\\&= 733.32\\\end{aligned}[/tex]
The new price of the furniture is [tex]\$ 733.32.[/tex]
The sales tax is of [tex]3\%[/tex] on the listed price.
The sales tax can be obtained as follows,
[tex]\begin{aligned}{\text{Sales tax}} &= 3\% {\text{ of new price}}\\&= \frac{3}{{100}} \times 733.32\\&= \$ 22\\\end{aligned}[/tex]
The sales tax should be paid in dollars on the new price is [tex]\boxed{\$ 22}.[/tex]
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Investment and return
Keywords: May, 2018, store, furniture, listed, price, listed price, $550, sales, sales tax, 3%, tax on listed price, next month, price increased, increased price, month[tex], 33 1/3%[/tex], paid, dollars, new price.
