The profit P, in millions, of Company A is given by the equation P=7.5x +17, where x is the number of years in business. The profit P, in millions, of Company B is given by the equation P=4.1x +12. Write a polynomial equation to give the "difference" in profit D after x years.

Answers

Answer 1

Answer:

The polynomial equation to give the difference in profit D after x years is:

D = 3.4x + 5

Step-by-step explanation:

To obtain the difference in profit between the Companies A and B you can subtract the equation of company B to the equation of company A:

Profit Company A = 7.5x +17Profit Company B = 4.1x +12Difference between profits (D) = 7.5x +17 - (4.1x + 12)

And we operate:

D = 7.5x + 17 - 4.1x - 12D = 7.5x - 4.1x + 17 - 12D = 3.4x + 5

We can prove the obtained equation selecting a number of years to operate the profit equations, for example, we're gonna suppose the number of years is 3 (x = 3), we replace the formulas of profits:

Profit Company A = 7.5x +17Profit Company A = 7.5 * (3) +17Profit Company A = 22.5 +17Profit Company A = 39.5 millions

Profit Company B = 4.1x + 12Profit Company B = 4.1 * (3) + 12Profit Company B = 12.3 +12Profit Company B = 24.3 millions

Now, we subtract the two values:

Difference between profits = 39.5 millions - 24.3 millionsDifference between profits = 15.2 millions.

At last, using our equation with the same number of years, the calculation must give us the same value (15.2 millions):

D = 3.4x + 5D = 3.4 (3) + 5D = 10.2 + 5D = 15.2

As you can see, the polynomial equation D = 3.4x + 5 is the correct to identify the difference in profit between the Companies A and B.

Answer 2

Answer:

D=0.5x+2

$7000000

Step-by-step explanation:


Related Questions

The question is in the attachment.
Please help out

Answers

Answer:

43

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

< MQP = 1/2 ( 86)

< MQP = 43

Answer:

43°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the arc it subtends.

m<Q = (1/2)m(arc)MP

m<Q = 1/2 * 86°

m<Q = 43°

How wide is the pond?

Answers

20ft

Step-by-step explanation:

lil kitty on the roof all aloe without his lady

help meeeeeeeeeeeeeeee. this is due tomorrow

Answers

Answer:

common difference increases by 2 times

d = (2×12) = 24

[tex] {a}^{4} + {b}^{4} + {c}^{4} = (22 + (12 \times 2)) \\ = 46[/tex]

I need to know they answers below please hurry

Answers

Answer:

A)  2

B)  0

C)  1

Step-by-step explanation:

Equations on both sides
3x + 5 = 2x -17

Solve it and show the work because i need to show the work

Answers

The answer would be for this problem is -22

Answer:

x = -22

Step-by-step explanation:

Subtract 5 from both sides

3x + 5 (-5) = 2x - 17 (-5)  

3x = 2x - 17

Subtract 2x from both sides

3x (-2x) = 2x (-2) -22  

x = -22

a boy kicks a 0.445kg soccer ball with the force of 75 newtons what is the acceleration of the soccer ball

Answers

Answer:

168.5 m/s^2

Step-by-step explanation:

The volume of a cone-shaped funnel is 603 cubic centimeters. The radius of the funnel is 8 centimeters. Find the height of the funnel. Round your answer to the nearest whole number.

Answers

Answer: 9

Step-by-step explanation:

Volume of cone formula is: pi r^2 h/3

So pi x 8^2 h/3 = 603

H/3 = 2.9991

h = 9 (rounded)

Why can't 6cm 5cm 8cm make a triangle

Answers

Because all of the sides should be the same length.

Answer:

They can, the lines just need to be sloped

A man is five times as old as his son. Four years ago the man was thirteen times as old as his son.
Find their present ages.

Answers

Answer:

Age of son = 6 years

Age of man = 5×6 = 30 years

Step-by-step explanation:

GIVEN :-

A man is 5 times as old as his son. (In Present)4 years ago , the man was 13 times as old as his son

TO FIND :-

The present ages of the man & his son.

SOLUTION :-

Let the present age of son be 'x'.

⇒ Present age of man = 5x

4 years ago ,

Age of son = (Present age of son) - 4 = x - 4

Age of man = (Present age of man) - 4 = 5x - 4

The man was thirteen times as old as his son. So,

[tex]=> 5x - 4 = 13(x - 4)[/tex]

Now , solve the equation.

Open the brackets in R.H.S.

[tex]=> 5x - 4 = 13x - 52[/tex]

Take 5x to R.H.S. and -52 to L.H.S. Also , take care of their signs because they are getting displaced from L.H.S. to R.H.S. or vice-versa.

[tex]=> 13x - 5x = 52 - 4[/tex]

[tex]=> 8x = 48[/tex]

Divide both the sides by 8

[tex]=> \frac{8x}{8} = \frac{48}{8}[/tex]

[tex]=> x = 6[/tex]

CONCLUSION :-

Age of son = 6 years

Age of man = 5×6 = 30 years

A certain television is advertised as a 54-inch TV (the diagonal length). If the width of the TV is 40 inches, how tall is the TV? Round to the nearest tenth of an inch.

Answers

Answer:

36.3

Step-by-step explanation:

I tried using the Pythagorean Theorem to measure the length (tallness) of the TV.

[tex]a^2 + b^2 = c^2[/tex]

[tex]a^2 + (40)^2 = (54)^2[/tex]

[tex]a^2 + 1600 = 2916[/tex]

[tex]a^2 = 2916-1600 = 1316[/tex]

[tex]a = \sqrt{1316}[/tex]

[tex]a = 36.27671429[/tex]

When this is rounded up to the nearest tenth, it would go up to 36.3.

So, the length (tallness) of the TV would be 36.3 inches.

Help me with this please

Answers

Step-by-step explanation:

The given expression is

Notice that this expression is the product of two powers, to rewrite it, we need to use the following property

Using this property, we have

The given expression is. Notice that this expression is the product of two powers, ...

Answer:

44/-4

Step-by-step explanation:

hello there. can you help with this. thank you :D

you get 20 points ^^

Answers

Answer:

A - 3

B - 5

C - 1

D - 2

E - 6

F - 4

Sorry too tired to explain ;-;

But hope this helped, and yes, it is for sure correct!

(pls consider brainliest? :D)

A rectangle prism has a base with an area of 20 square centimeters and a height of 3 centimeters. What is the volume of the prism?

Answers

Answer:

Step-by-step explanation:

The volume of a rectangular prism is shown below:

We are given the an area of  

173.6

 

cm

and a height of  

9

 

cm

.

We also know that the formula for area is  

l

w

, meaning we can substitute the area for  

l

w

in the volume formula.

Now let's plug in what we know into the formula and solve for the volume:

V

=

(

173.6 cm

2

)

(

9 cm

)

 

 

=1562.4 cm

3

The volume of the rectangular prism is  

1562.4 cm

3

.

At the aquarium, posters of sharks cost $2 and posters of jellyfish cost $6. Mr. Benson spent $64 to buy 12 posters. How many of each type of poster did Mr. Benson buy?

Answers

Answer:

8

Step-by-step explanation:

Step 1: Add the cost of the posters together

Shark: 1 = $2

Jellyfish: 1 = $6

2 + 6 = 8

Step 2: Divide the result by the total amount Mr. Benson spent

64 ÷ 8

[tex]= \frac{64}{8}[/tex]

[tex]= 8[/tex]

Therefore, Mr. Benson bought 8 of each type of poster.

A swimming pool that is 10 feet, 20 feet long, and 4 1/2 feet deep. how much water can this swimming pool hold (to the top of the pool)?

Answers

Answer:

900 cubic feet

Step-by-step explanation:

Volume = length x width x height

= 10 x 20 x 4.5

= 900

The point (3, -1) is on the line given by which equation below?


A. y = -3x
B. y = x - 4
C. y = x + 4
D. y = 3x

Answers

Answer:

Just grabbin points

Step-by-step explanation:

Answer:

B. y = x - 4

Step-by-step explanation:

(x, y) = (3, -1)

y = x - 4

y = 3 - 4

y = -1

#CMIIW

Mr. Buchanan can clean his apartment in 12 hours. (He's not very fast.) With Mrs. Buchanan's help, they can clean the apartment in 4 hours. How long would it take Mrs. Buchanan to clean the apartment alone? Time=_____ Hours

Answers

Answer:

2 hours

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

how do you factor this trinomial? 2x² + 9x - 18

Answers

Factor by grouping.

(2x + 3)(x − 6)

Answer:

(2x-3) (x+6)

Hope this helps :)

Divide: 2 ÷ 1
2

2
16
8
4

Answers

Answer:

Are you asking to divide 2 divided by 1 ?

If so its 2

Plz like & brainly, I'm close to next lvl

It would help :D

In ΔCDE, the measure of ∠E=90°, DE = 39 feet, and CD = 89 feet. Find the measure of ∠C to the nearest degree.

Answers

it’s 64.4 :)
i just did it lolz

Firstly this shape is an triangle and a triangle has 3 sides/ angles and all angles sum up to 180 degrees...

E = 90 degrees

This explains that it is an hypotenuse triangle so...

answer:

= 39x39 = 1521

= 89x89 = 7921

= 1521 + 7921 = 9442

= square root of 9442 = 97.169954204 rounded off to 97.2

97.2 degrees!

What value of y makes the 2 triangles congruent by SSS?

Answers

Answer:

8

Step-by-step explanation:

2(8)+20=36

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2
marbles one after the other without replacement, then what is the probability that both
are red in color? Are the two events independent or dependent?

Answers

30/210 simplified to 1/7 i think

what’s the vertex of this graph
(2,2)
(1,3)
(3,1)
(0,2)

Answers

Answer:

(1,3)

Step-by-step explanation:

The vertex of a downward facing parabola is the maximum point

The vertex is x=1, y=3

(1,3)

Answer:

Out of the options given above prior to the topic, I believe that the best choice would be Option B) (1,3) Best explanation is provided by the wonderful user above. Hope we helped! :D

What is the fractional form of 0.02?

А. 2/99
B. 1/11
C. 2/100
D.1/12

Answers

The answer is c because the 2 is in the 100ths place

1121314 5 -
The top, front, and side views of a rectangular prism are shown.
top view
front view
(1) side view
How many unit cubes are used to build the solid?
unit cubes are used to build the solid.​

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the views are not shown.

So, I will answer this question with the attached views of a rectangular prism.

Required

The number of cubes used

For the attached views of the rectangular prism, we will make use of the following representations

Top view [tex]\to[/tex] Width

Front view [tex]\to[/tex] Height

Side view [tex]\to[/tex] Length

So, we have:

[tex]Width = 2 units[/tex]

[tex]Height = 6 units[/tex]

[tex]Length = 1\ unit[/tex]

The number of cubes is calculated by solving for the volume of the prism.

For a rectangular prism, the volume is:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = 2 * 6 * 1[/tex]

[tex]Volume = 12[/tex]

This implies that 12 cubes were used to build the solid.

The perimeter of a square is 100. The side length is represented by 2x+3. Solve for x.

Answers

Answer:

4×side length=perimeter of the square

4×(2x+3) = 100

2x+3 = 25

2x=25-3=22

x=11

3 cm 15 cm 18 cm What volume of nuts could the container hold? a 270 cm b 869 cm c 738 cm d810 cm​

Answers

Answer:

d-810 cm

Step-by-step explanation:

mutiply

3x15x18=810

Can 1-9 be solved please ANSWER FAST!!!

Answers

Answer:

1) solution

2x+3*5x=34

2x+15x=34

17x=34

x=34/17

x=2

2) solution

2*4y+3y=44

8y+3y =44

11y=44

y=44/11

y=4

3) solution

4y+5=3y-2

4y-3y=-2-5

y= -7

4) solution

2x+3=4x-1

3+1=4x-2x

4=2x

x=4/2

x=2

5) solution

4(y-1)=3y+3

4y-1=3y+3

4y-3y=3+1

y=4

6) solution

2(1/2y +3)-y=6

2/2y+3-y=6

y+3-y=6

2y=6

y=6/2

y=3

7) solution

8x+2(-4x+11)=13

8x-8x+11=13

11=13

8) solution

2x-3x-9=-4

-x=-4+9

-x=5

x= -5

9) solution

3(3y+1)-5y=11

9y+3-5y=11

4y=11-3

y=8/4

y=2

please marks brainliest I had to spend lot of time typing this.

? x 26= 17 7/8.
By: Britney

Answers

17 7/8 divided by 26=0.6875
0.6875 times 26=17.875 or 17 7/8

A spinner has 10 equally sized sections, 6 of which are gray and 4 of which are blue. The spinner is spun twice. What is the probability that the first spin lands on blue and the second spin lands on gray?
Write your answer as a fraction in the simplest form.
If you can, please also explain how you got it!
Thanks!!

Answers

Answer:

Multiply the probabilities of the outcomes. 4/10*6/10 = 24/100 = 12/50 = 6/25.

 

The answer is 6/25.

Step-by-step explanation:

How I got my answer all you have to do is multiply the probabilities and you get 6/25.

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