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KatRina [158]
3 years ago
11

A store has clearance items that have been marked down by 25%. They are having a sale, advertising an additional 40% off clearan

ce items. What percent of the original price do you end up paying? Give your answer accurate to at least one decimal place.
Mathematics
1 answer:
Hatshy [7]3 years ago
5 0

Answer: He would pay 45% of the original price.

Step-by-step explanation:

Since we have given that

Let the original price of item be 'x'

Rate mark down by 25%

Amount of marked down would be

\dfrac{25}{100}\times x\\\\=0.25x

Amount after marked down becomes

x-0.25x\\\\=0.75x

Additional clearance items by 40% off

Amount of additional off is given by

\dfrac{40}{100}\times 0.75x\\\\=0.4\times 0.75x\\\\=0.3x

After additional off, the amount becomes,

0.75x-0.3x\\\\=0.45x

Hence, he would pay 45% of the original price.

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The quadratic parent function has been reflected down, stretched vertically by a factor of 1/3, shifted vertically by 9 units an
zmey [24]

Answer:

1a) f(x) = -1/3(x + 12)² + 9

1b) f(x) = -1/3x² - 8x - 39

General Formulas and Concepts:

<u>Algebra I</u>

Equality Properties

Expand by FOIL (First Outside Inside Last)

Standard Form: ax² + bx + c = 0

Transformations Graph: f(x) = a(bx - c)² + d

  • a = vertical shrink/stretch
  • b = horizontal shrink/stretch
  • c = horizontal movement left/right
  • d = vertical movement up/down

Step-by-step explanation:

<u>Step 1: Define</u>

Reflected down and vertically stretched by 1/3:   a = -1/3

Shifted vertically by 9 units:   d = 9

Shifted horizontally by -12 units:   c = -12

<u>Step 2: Write Vertex Form</u>

  1. Define:                    f(x) = a(bx - c)² + d
  2. Substitute:              f(x) = -1/3(x + 12)² + 9

<u>Step 3: Write Standard Form</u>

  1. Define:                              f(x) = -1/3(x + 12)² + 9
  2. Expand:                             f(x) = -1/3(x² + 24x + 144) + 9
  3. Distribute -1/3:                  f(x) = -1/3x² - 8x - 48 + 9
  4. Combine like terms:         f(x) = -1/3x² - 8x - 39

And we have our final answers!

8 0
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How much money is 66 2/3% of $48.00
enyata [817]

Answer: $32

Step-by-step explanation:

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2 years ago
A hobby store marks up remote-controlled cars 25%. The original
aksik [14]
Answer: $37.50

Explanation:
1. Turn 25% into a decimal by removing the “%” and placing a “0.” in front of it. (0.25)
2. Multiply the decimal (0.25) by the original price of the car (30). (0.25x30=7.5)
3. Add 7.5 to 30 to get the answer. (7.5+30=37.5=$37.50)
7 0
3 years ago
Which of the following could be the equation of a line parallel to the line y = 4 ?
jonny [76]

Answer:

B

Step-by-step explanation:

y = 4 is a horizontal line parallel to the x- axis

A parallel line must also be horizontal with equation

y = c ( c is the value of the y- coordinates the line passes through )

The only equation in this form is

y = 0 ( the equation of the x- axis ) → B

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Goose had 5 hens Xhicken took two how many is left?
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Answer:

3

Step-by-step explanation:

why would a goose have hens

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