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Alisiya [41]
2 years ago
12

The projected worth (in millions of dollars) of a large company is modeled by the equation w = 206(1.1) t. The variable t repres

ents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2011? A. 10%; $534.31 million B. 11%; $646.52 million C. 10%; $587.74 million D. 11%; $226.60 million
Mathematics
1 answer:
kupik [55]2 years ago
6 0

Answer:

Hey There!! The Correct answer is: The equation is w = 241(1.06)t

And here variable t represents the number of years since 2000.

In 2001 means t=2001 -2000 = 1

So we plug 1 for t in the given expression , that is w = 241(1.06)1 = 241 * 1.06 = 255.46

Therefore in 2001, it should be worth to 255.46.

And in the given expression 1.06=1 +0.06, where 0.06 is the annual percent of growth that is 6 % .

Hope It Helped!~ ♡

ItsNobody~ ☆

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Quadrilateral WXYZ has vertices W(-4,-3), X(0,-1). Y(6,-2), Z(2,-4). Using properties of diagonals prove that WXYZ is a parallel
yanalaym [24]

Answer:

The diagonals are bisectors of each other and meet at  (1, -5/2) but are not congruent, so WXYZ is a parallelogram and not a rectangle

Step-by-step explanation:

for parallelograms.

the diagonals intersect at the midpoints

W                             X

Z                             Y

Diagonals are  WY  and  XZ

WY :   (-4, -3) to  (6, -2)

midpoint is   [(-4 + 6)/2  ,  (-3 - 2)/2 ] = ( 1, -5/2 )

XZ :   (0, -1)  to  (2, -4)

midpoint is  [ (0 + 2)/2 ,  (-1 + -4)/2 ]  = (1, -5/2)

The diagonals are bisectors of eachother.

Next show that these diagonals are not congruent.

length of  WY  =  root (  (-4 - 6)^2  +  (-3 - (-2))^2 )

WY = root ( 100  +  1)

WY = root(101)

length of XZ  =  root (  (0 - 2)^2  +  ( -1 - -4)^2 )

XZ =  root (4  +  9) = root (13)

we see that  WY  is not equal to XZ

...

so  ..  quadrilateral WXYZ is a parallelogram but not a rectangle.

8 0
2 years ago
A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor ch
slavikrds [6]

Answer:  50x+250=75x+100

Step-by-step explanation:

Given: A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo.

Let x be the number of hours , then the total cost to create the logo plus is given by :-

C(x)=250+50x

A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.

The total cost to develop logo plus is given by :-

c(x)=100+75x

The equation to represent the costs would be the same is given by :_

C(x)=c(x)\\\Rightarrow50x+250=75x+100

4 0
2 years ago
Read 2 more answers
In January, 2005 Anthony was preparing to purchase 100 shares of ABC stock. He was studying the literature and found four differ
Serga [27]

Answer:

The chart which is most relevant representation for Anthony's purposes is;

b. A graph has year on the x-axis, from 2001 to 2005, and value (dollars per share) on the y-axis, from 80 to 200 in increments of 40. A curve goes through (0, 170), (2003, 90), (2005, 130)

Step-by-step explanation:

From the question, we have;

The time at which Anthony was preparing to purchase shares = January, 2005

The number of shares Anthony was preparing to purchase = 100 shares

The information he found in the literature = Charts on ABC stock performance

The information required = The current price of shares of ABC stock

Therefore, the chart that is most relevant is a chart that gives the 2005 pricing  of ABC stock which is the graph that has a curve that goes through (0, 170), (2003, 90), (2005, 130)

7 0
2 years ago
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Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = -3x2 - 36x - 60?
MatroZZZ [7]

Answer:

A) The graph of f(x) = x2 is made narrower.

Step-by-step explanation:

The transformed graph has equation:

g(x) =  - 3 {x}^{2}  - 36x - 60

To see the transformations clearly, we need to rewrite the function in the vertex form:

g(x) =  - 3( {x}^{2}  + 12x) - 60

g(x) =  - 3( {x}^{2}  + 12x + 36) - 60  + 3 \times 36

g(x) =  - 3( {x} + 6)^{2}   + 48

Therefore, the graph of the original function is made narrow of the multplier, 3.

The correct answer is A

5 0
2 years ago
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A local animal feed company makes its feed by the ton, which is 2000 pounds. They want to include a medication in the feed. Each
pshichka [43]

100 milligrams for every 5 pounds

2000/5=400 doses  

400*100=40,000 milligrams= 40 grams

7 0
2 years ago
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