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Sidana [21]
3 years ago
11

Gabby purchased a pair of ear phones online for $12. She purchased the ear phones at 60% of the store price. What was the store

price of the ear phones ?
Mathematics
1 answer:
torisob [31]3 years ago
3 0

Answer:

The answer of your question is: $20

Step-by-step explanation:

Data

price $12

60% of the store price

Solve it using an inverse rule of three

                           $12 -------------------  60%

                             x  --------------------  100%

        x = 100(12) / 60 = $20

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Angle 1 and angle 3 are vertically opposite angles. And both angles are congruent with each other.

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1 year ago
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7 0
3 years ago
A small company that manufactures snowboards uses the relation below to model its profit. In the model,
amm1812

Answer:

a)   x₁ = 14

     x₂ = - 6

b) x = 4

c) P(max ) = 4000000 $

Step-by-step explanation:

To find the axis of symmetry we solve the equation

a) -4x² + 32x + 336 = 0

4x²  - 32x  - 336  = 0       or    x² - 8x - 84 = 0

x₁,₂ = [ -b ± √b² -4ac ]/2a

x₁,₂ = [ 8  ±√(64) + 336 ]/2

x₁,₂ = [ 8  ± √400 ]/2

x₁,₂ =( 8 ± 20 )/2

x₁  = 14

x₂ = -6

a) Axis of symmetry must go through the middle point between the roots

x = 4 is the axis of symmetry

c) P = -4x² + 32x + 336

Taking derivatives on both sides of the equation we get

P´(x) = - 8x + 32  ⇒  P´(x) = 0     - 8x + 32

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x = 4    Company has to sell  4 ( 4000 snowboard)

to get  a profit :

P = - 4*(4)² + 32*(4) + 336

P(max) = -64  + 128 + 336

P(max) = 400           or  400* 10000 =  4000000

     

8 0
3 years ago
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