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3 years ago

Kelly pays $25/sweater wholesale.find the salling price if her mark-up is 65%?

1 answer:

3 0

This is another way of saying what is 165% of 25, because 65% of the sweater is the markup, and you add the markup to the whole sale.
165% is 1.65 in decimal form, so $1.65*25=41.25$
$41.25$ is your answer

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Find the taylor polynomial t3(x) for the function f centered at the number

Vlad [161]

$e^{-3x}=\displaystyle\sum_{n=0}^\infty\frac{(-3x)^n}{n!}=1-3x+9x^2+\cdots$
$\sin2x=\displaystyle\sum_{n=0}^\infty\frac{(-1)^n(2x)^{2n+1}}{(2n+1)!}=2x-\dfrac{4x^3}3+\cdots$

$e^{-3x}\sin2x=\left(1-3x+9x^2+\cdots\right)\left(2x-\dfrac{4x^3}3+\cdots\right)$
$\approx T_3(x)=(1-3x+9x^2)\left(2x-\dfrac{4x^3}3\right)$
$T_3(x)=2x-6x^2+\left(18-\dfrac43\right)x^3$
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3 years ago

What causes a car to decelerate? <br> rolling friction<br> sliding friction<br> static friction

bearhunter [10]

Answer:

The grinding of the material

Step-by-step explanation:

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3 years ago

Read 2 more answers

A rectangle has the following vertices. Find the area of the rectangle. (9, −1), (−1, 7), (−5, 2), (5, −6)

stiks02 [169]

Answer: 82 sq. units .

Step-by-step explanation:

Let A (9, −1), B (−1, 7), C(−5, 2), D(5, −6) are the vertices of rectangle.

Then we plot them on graph ( as provided in attachment)

Length = AB $=\sqrt{(9+1)^2+(-1-7)^2}$ units [By distance formula : $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ ]

$=\sqrt{(10)^2+(-8)^2}=\sqrt{100+64}=\sqrt{164}=2\sqrt{41}$ units

Width = BC = $\sqrt{(-1+5)^2+(7-2)^2}$ units

$=\sqrt{4^2+5^2}\\\\=\sqrt{16+25}\\\\=\sqrt{41}$

Area = length x width

= $2\sqrt{41}\times\sqrt{41}=2\times41= 82\text{ sq. units}$

Hence, the area of the rectangle is 82 sq. units .

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3 years ago

Frank wants to buy three items costing $111.32, $28.75, and $73.21. If he earns $8.75 an hour, how many hours must Frank work be

Sedaia [141]

The three items cost altogether is : 111.32 + 28.75 + 73.21 = 213.28

So, he must work 213.28 : 8.75 = 24.3748571429...

Since if he works 24 hours, he wouldn't have enough money to buy the 3 items, so he must work 24 + 1 = 25 hours.

Recheck : 25 x 8.75 = 218.75 ( > 213.28)

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2 years ago

Write an equation of the line through (6,-2) with a slope of 4

torisob [31]

Notice that for this question, they are providing you with:

1) The slope of the line (4)

2) a point on the plane through which the line goes (6, -2)

So you can directly use for this the "point-slope" form of a line which is as follows: