Tobias's music store bought a piano at the wholesale price of $550. Tobias marked up the price 35%. What was the amount of markup?

A.  $58.50

B.  $80

C.  No. The markup was 33 1/3%

Step-by-step explanation:

You are expected to know the relevant relationship is ...

  cost + markup = selling price . . . . also called "store price" in this problem

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A. The markup is 30% × $45 = $13.50, so the store price is ...

 $45 + 13.50 = $58.50

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B. When the 30% markup is added to the 100% cost, the selling price is 130% of the cost, or 1.30 times the cost. Here you have ...

 $104 = 1.30 × cost

 $104/1.3 = cost = $80 . . . . . divide by the coefficient of cost

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C. The markup is $100 -75 = $25, so the markup percentage based on cost is ...

 $25/$75 × 100% = 33 1/3%

This is not 30%.

Step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is