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d1i1m1o1n [39]
3 years ago
8

An artist receives 20% royalty on the retail price of his recordings. If he receives $36,000 in royalties, what is the dollar am

ount of the retail price of his recordings?
Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

Answer:

$180,000

Step-by-step explanation:

Because the artist gets 20% of the retail price, and 20% is equal to 1/5, the artist gets 1/5 of the retail price. So you do 36,000 times 5 to get the whole, original price.

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write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4
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-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = -1/4x - 4}

-------------------------------------------------------------------------------------------------------------

Given: \textsf{Slope = -1/4, Point through = (4, -5)}

Find:  \textsf{Equation for the line that passes through the given point}

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - (-5) = -1/4(x - 4)}

<u>Simplify and solve for y</u>

  • \textsf{y + 5 = -1/4(x - 4)}
  • \textsf{y + 5 = -1/4x + 1}
  • \textsf{y + 5 - 5 = -1/4x + 1 - 5}
  • \textsf{y = -1/4x - 4}

Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.

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