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3 years ago

Find the percent of discount (change) if an item that was priced at 54.00 is now on sale for 45.95

Mathematics

1 answer:

Semmy [17]3 years ago

3 0

Answer:

about 14.9%

Step-by-step explanation:

Percent change can be computed using the formula ...

percent change = ((new value)/(old value) -1) × 100%

For the given numbers, this is ...

percent change = (45.95/54.00 -1) × 100% ≈ -14.907%

The discount is about 14.9%.

_____

Computed this way, the sign of the percentage change is negative for a decrease (discount), and positive for an increase.

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tigry1 [53]

Answer:

525

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25 + 500=525

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3 years ago

The triangle T has vertices at (-2, 1), (2, 1) and (0,-1). (It might be an idea to

Firdavs [7]

Rewrite the boundary lines y = -1 - x and y = x - 1 as functions of y :

y = -1 - x ==> x = -1 - y

y = x - 1 ==> x = 1 + y

So if we let x range between these two lines, we need to let y vary between the point where these lines intersect, and the line y = 1.

This means the area is given by the integral,

$\displaystyle\iint_T\mathrm dA=\int_{-1}^1\int_{-1-y}^{1+y}\mathrm dx\,\mathrm dy$

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$\displaystyle\int_{-1}^1\int_{-1-y}^{1+y}\mathrm dx\,\mathrm dy=\int_{-1}^1x\bigg|_{-1-y}^{1+y}\,\mathrm dy=\int_{-1}^1(1+y)-(-1-y)\,\mathrm dy=2\int_{-1}^1(1+y)\,\mathrm dy$

For the remaining integral, integrate term-by-term to get

$\displaystyle2\int_{-1}^1(1+y)\,\mathrm dy=2\left(y+\frac{y^2}2\right)\bigg|_{-1}^1=2\left(1+\frac12\right)-2\left(-1+\frac12\right)=\boxed{4}$

Alternatively, the triangle can be said to have a base of length 4 (the distance from (-2, 1) to (2, 1)) and a height of length 2 (the distance from the line y = 1 and (0, -1)), so its area is 1/2*4*2 = 4.

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3 years ago

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Rudik [331]

Answer:

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Step-by-step explanation:

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3 years ago

A family buys a car for $20,000. The value of the car decreases about 20% per year. After 6 years, the family decides to sell th

Ugo [173]

Answer:

Step-by-step explanation:

The car starts at 20 000

After 1 year, it's worth 18 000

After 2 years, it's worth 14 400

After 3 years, it's worth 11 600

After 4 years, it's worth 9 280

After 5 years, it's worth 7 424

After 6 years, it's worth 5 975.20

No, the family should not sell the car for 4000

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2 years ago

∆ABC ~ ∆YXZ If the scale factor of ∆YXZ is 3 and the area of ∆ABC is 7 cm ^ 2 , then what is the area ∆YXZ ?

stich3 [128]

Answer:

63 cm²

Step-by-step explanation:

the area of ∆YXZ = 7 × 3² = 7×9 = 63 cm²

3 0

3 years ago

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