If a home goods retailer pays $35.50 for the vacuum cleaner shown here, answer the following questions. (Round dollars to the ne
1 answer:
The Markup percentage is mathematically given as
M=42%
<h3>What is Mark up percentage?</h3>The markup % may be determined by dividing the gross profit of a unit (the difference between its sales price and the amount it cost to create or buy for resale) by the amount that unit originally cost. If a product sells for $12 but only costs the corporation $8 to produce it, the markup percentage for that product is 50%, which can be calculated as (12 - 8) divided by 8.
Generally, the equation for is Total cost price mathematically given as
TCP= Pay+insurance
Therefore
TCP=35.5*1.6
TCP=284/5
Generally, the equation for is Total selling price mathematically given as
TSP=89.99+7.99
TSP=97.98
In conclusion, Mark up percentage is
M=0.4202898551*100
M=42%
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<h3>Answer: 80 degrees</h3>
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Explanation:
I'm assuming that segments AD and CD are tangents to the circle.
We'll need to add a point E at the center of the circle. Inscribed angle ABC subtends the minor arc AC, and this minor arc has the central angle AEC.
By the inscribed angle theorem, inscribed angle ABC = 50 doubles to 2*50 = 100 which is the measure of arc AC and also central angle AEC.
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Focus on quadrilateral DAEC. In other words, ignore point B and any segments connected to this point.
Since AD and CD are tangents, this makes the radii EA and EC to be perpendicular to the tangent segments. So angles A and C are 90 degrees each for quadrilateral DAEC.
We just found angle AEC = 100 at the conclusion of the last section. So this is angle E of quadrilateral DAEC.
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Here's what we have so far for quadrilateral DAEC
- angle A = 90
- angle E = 100
- angle C = 90
- angle D = unknown
Now we'll use the idea that all four angles of any quadrilateral always add to 360 degrees
A+E+C+D = 360
90+100+90+D = 360
D+280 = 360
D = 360-280
D = 80
Or a shortcut you can take is to realize that angles E and D are supplementary
E+D = 180
100+D = 180
D = 180-100
D = 80
This only works if AD and CD are tangents.
Side note: you can use the hypotenuse leg (HL) theorem to prove that triangle EAD is congruent to triangle ECD; consequently it means that AD = CD.