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3 years ago

If the sales tax rate is $8.25 per $100.00.What is the sales tax if the sale amount is $54.80?

Mathematics

1 answer:

Brums [2.3K]3 years ago

7 0

Answer: $4.52

Step-by-step explanation:

From the question, sales tax rate is $8.25 per $100, this means that for every $100 item sold, $8.25 will be paid as sales tax.

Sales tax for 54.80 = x

Step 2: write the equation as;

8.25 = $100

Sales tax for $1 item will be (divide both sides by 100

$8. 25/ 100 = $0.0825

Step 3: determine the sales tax on $1 item, that is if sales tax $1 item = $0.0825

Sales tax for $54.80 item will be 0.0825 x 54.80

= $4.52

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Find the equation of the line that passes through (-1,2) and is perpendicular to 2 y = 2 x − 1 . Leave your answer in the form y

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The equation in slope-intercept form of the line that passes through the point (-1, 2) and is perpendicular to the line equation, $2 y = 2 x - 1$ is: $y = -x + 1$

Recall:

Equation of a line in slope-intercept form is: $y = mx + c$ , where, slope = m, and y-intercept = c.

Point-slope form is: $y - b = m(x - a)$

The slope value of a line will be the negative reciprocal of the slope of the line it is perpendicular to. i.e. if the slope of a line is a, the slope of the line that it is perpendicular to will be -a.

Given:

The line passes through point (-1, 2)

Equation of line it is perpendicular to is: $2 y = 2 x - 1$

To write the equation of the line that passes through (-1, 2), we need to find the slope value.

First, rewrite $2 y = 2 x - 1$ and find its slope.

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Write the equation of the line by substituting (a, b) = (-1, 2) and m = -1 into $y - b = m(x - a)$ :

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$y - 2= -1(x - (-1))\\\\y - 2 = -1(x + 1)$

Rewrite this in the form of $y = m x + c$

Thus:

$y - 2 = -x - 1\\\\y = -x - 1 + 2\\\\y = -x + 1$

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