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wariber [46]
3 years ago
14

A company's sales in Seattle were $330,000 in 2012, while their sales in Portland were $235,000 for the same year. Complete the

following statements: a. Seattle's sales were % larger than Portland's. b. Portland sales were % smaller than Seattle's. c. Portland sales were % of Seattle's. Give answers accurate to at least one decimal place.
Mathematics
1 answer:
barxatty [35]3 years ago
5 0

Answer:

A) Seattle's sales were 40.42% larger than Portland's.

B) Portland sales were 28.79% smaller than Seattle's.

C)  Portland sales were 71.21% of Seattle's.

Step-by-step explanation:

Since a company's sales in Seattle were $ 330,000 in 2012, while their sales in Portland were $ 235,000 for the same year, the following calculations must be performed to complete the sentences:

A)

235,000 = 100

330,000 = X

330,000 x 100 / 235,000 = X

33,000,000 / 235,000 = X

140.42 = X

Seattle's sales were 40.42% larger than Portland's.

B)

330,000 = 100

235,000 = X

235,000 x 100 / 330,000 = X

23,500,000 / 330,000 = X

71.21 = X

100 - 71.21 = 28.79

Portland sales were 28.79% smaller than Seattle's.

C)

330,000 = 100

235,000 = X

235,000 x 100 / 330,000 = X

23,500,000 / 330,000 = X

71.21 = X

Portland sales were 71.21% of Seattle's.

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Artemon [7]

Using the permutation formula, it is found that there are 600 ways to fill the pitcher and catcher positions.

The order is important, as one player is the pitcher and the other is the catcher, hence the <em>permutation formula </em>is used to solve this question.

<h3>What is the permutation formula?</h3>

The number of possible permutations of x elements from a set of n elements is given by:

P_{(n,x)} = \frac{n!}{(n-x)!}

2 players are taken from a set of 25, hence the number of ways is given by:

P_{(25,2)} = \frac{25!}{23!} = 600.

More can be learned about the permutation formula at brainly.com/question/25925367

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2 years ago
The area of a rectangle is 2x*2-13x+12 and another area is 6x^2-13x+21, what is the combined area of both rectangles?
saul85 [17]

Answer:

8x^2 - 26x + 33

Step-by-step explanation:

Add the expressions.

2x^2 - 13x + 12 + 6x^2 - 13x + 21 =

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8 0
3 years ago
Forty-two divided by seven plus the quantity three divided by six
ikadub [295]

Answer:

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Step-by-step explanation:

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Read 2 more answers
Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equa
Anvisha [2.4K]

Answer:

A point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Step-by-step explanation:

Given equation of ellipsoid f(x,y,z) :x^2+y^2+4z^2=36

Parametric equations:

x=-4t-1

y=2t+1

z=8t+3

Finding the gradient of function

\nabla f(x,y,z)=\\\nabla f(x,y,z)=

So, The directions vectors=(-4,2,8)

Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line

\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)

So, 2x=-4\lambda

\Rightarrow x=-2\lambda

2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda

Substitute the value of x , y and z in the ellipsoid equation

(2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2

With \lambda = 2

x=-2(2)=-4

y=2

z=2

With\lambda =- 2

x=-2(-2)=4

y=-2

z=-2

Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)

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