The total amount paid by a customer who purchased a CD player at $142.00 and sales tax of 5.5% is $149.81
<h3>Sales tax</h3>
- Cost of CD player = $142.00
- Sales tax = 5.5%
Amount of sales tax = 5.5% of $142.00
= 5.5/100 × 142
= 0.055 × 142
= $7.81
Total amount paid by customers = Cost of CD player + Amount of sales tax
= $142.00 + $7.81
= $149.81
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Answer:
x = -2
Step-by-step explanation:
Given the point, (-2, 9) and the linear equation of a <u>horizontal line</u>, y = 6:
The linear equation of a horizontal line with a slope of zero (<em>m</em> = 0) is y = <em>b, </em>for which the y-intercept is (0, <em>b</em>). <u>Perpendicular lines</u> comprise of the intersection of two lines forming 90° angles.
Since we are given the equation of a horizontal line, then we can assume that <em>the line that intersects a horizontal line must be a </em><u><em>vertical line</em></u> in order to form perpendicular lines.
The linear equation of a <u>vertical line</u> with an undefined slope is <em>x</em> = <em>a</em>, for which the x-intercept is (<em>a</em>, 0). Vertical lines have an <u>undefined slope </u>because these lines do not have any horizontal change. Thus, when you try to solve for its slope, the denominator will have a difference of 0, making the mathematical operation undefined.
We can use the <u>x-coordinate</u> of the given point, (-2, 9), to formulate an equation for a vertical line: x = -2.
Therefore, the equation of the line that goes through y = 6 is x = -2.
Attached is a screenshot of the graph of both equations, y = 6 and x = -2, showing that their intersection form 90° angles, making them perpendicular lines.
Answer:
Positive.
Step-by-step explanation:
Negative to a even power becomes positive
Answer:
173.26
Step-by-step explanation:
Answer:
Step-by-step explanation:
Harvey rides his bike at an average speed of 12 miles in 1 hour, 24 miles in 2 hours, and so on. Let h be the number of hours he rides and d be distance traveled. Write the equation for the relationship between distance and time in point-slope form.
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You have three points relating time and distance:
(1,12),(2,24),(3,36)
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The slope for your equation would be (24-12)/(2-1) = 12/1 = 12
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The intercept is the distance you would travel in no time; that would be zero.
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The equation is: distance = 12(time)
d = 12t