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Hitman42 [59]
3 years ago
10

Steven bought a new computer at the end of a sale. The price of the computer was $52 on the day he bought it. The next day it ha

d been marked up by 40%. What was the new price after the sale?
Mathematics
1 answer:
den301095 [7]3 years ago
4 0

Answer:

$72.80

Step-by-step explanation:

You would multiply 52 with .40 to get 20.8. This is how much the price increased by. Then you would add the 20.8 to your original price of 52 to get 72.80.

(Also you use .40 initially because percent means out of 100. So 40% is the same as .4)

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Write the equation for a parabola that has a vertex (2, -1) and a directrix of x = 5.
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The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Step-by-step explanation:

Let us revise the equation of a parabola

1. The form of the equation is (y − k)² = 4p(x − h)

2. The coordinates of its vertex are (h , k)

3. The equation of its axis of symmetry is y = k

4. The coordinates of the focus are (h + p , k)

5. The directrix is at x = h − p

∵ The coordinates of the vertex of the parabola are (2 , -1)

∵ The coordinates of its vertex are (h , k)

∴ h = 2 and k = -1

∵ The directrix is at x = 5

∵ The directrix is at x = h − p

∴ h - p = 5

∵ h = 2

∴ 2 - p = 5

- Subtract 2 from both sides

∴ - p = 3

- Multiply both sides by -1

∴ p = -3

∵ The form of the equation is (y − k)² = 4p(x − h)

∴ (y - -1)² = 4(-3)(x - 2)

∴ (y + 1)² = -12(x - 2)

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Learn more:

You can learn more about equation of a parabola in brainly.com/question/8054589

#Learnwithbrainly

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