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george has opened a new store and he is monitoring its success closely. He has found that this store’s revenue each month can be modeled by r(x)=x2+5x+14 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars. He has also found that his expenses each month can be modeled by c(x)=x^2−4x+5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars.

the new store will sell 900 items in its fifth month in business

the store will have a profit of $900 after its fifth month in business

the store will have a profit of $5400 after its fifth month in business

the new store will sell 5400 items in its fifth month in business

Answers

Answer 1

Answer:

Step-by-step explanation:

The correct answer is that the new store will have a profit of $5400 after its fifth month.

Profit is given by subtracting revenue minus cost:

(R-C)(x) = (x²+5x+14)-(x²-4x+5) = x²-x²+5x--4x+14-5 = 5x+4x+14-5=9x+9

Using 5 for x,

(R-C)(5) = 9(5) + 9 = 45+9 = 54

This is in hundreds of dollars, so it represents $5400.


Related Questions

Help 10 points for correct answer

Answers

Answer:

C. 85.0 degrees. Because...

Coz when you calculate the angles all together using the 180°. You'll find the right answer

i think it is e but I am not sure. If someone knows the answer, please reply

Answers

The answer is true you’re welcome

Answer: You are correct it is E

Step-by-step explanation:

Saw the question answered on brainly so its correct

Rachel runs 4 miles in 23 minutes. How many miles does she run per minute?​

Answers

Answer:

To calculate how many total miles Rachel runs per minute, setting up a unit rate, that is a rate with a denominator of 1, would be helpful.

Step-by-step explanation:

Use the current problem to determine a rate.

23 minutes/4 miles

Now, set up a unit rate.

1 minute/x miles = 23 minutes/4 miles

To solve for x, we can use simple division strategies. We divide 23 by 23 to receive 1 minute. Likewise, dividing the current milage by 23 would wield the correct unit rate. To do this, divide 4 by 23.

4/23 = 0.1739130434782609

Finally, simplify your answer to receive 0.17.

Therefore, Rachel runs ~0.17 miles per minute. (Note that this answer is only a rounded answer of her actual milage per minute)

1*9999999999999999999999999, i will give brainliest, but you mut have every single 9 in the answer, ok?

Answers

99999999999999999999999999

Volume of the pyramid

Answers

Volume = 1/3 x base area x height

Base area = 9x4 = 36

Volume= 1/3 x 36 x 10
=120 I think

What is the image of (4,−8) after a dilation by a scale factor of 1/4 centered at the origin?

Answers

Answer:

(1,-2)

Step-by-step explanation:

you just have to multiply the coordinates by 1/4

4x1/4=1

-8x1/4=-2

so the new coordinates are (1,-2)

The image of the given point is (1,-2).

Important information:

The coordinates of the point are (4,-8).Point is dilated by a scale factor of [tex]\dfrac{1}{4}[/tex] centered at the origin.Dilation:

If a point is dilated by a scale factor of [tex]k[/tex] centered at the origin, then the rule of dilation is defined as:

[tex](x,y)\to (kx,ky)[/tex]

Using the above rule, we get

[tex](4,-8)\to \left(\dfrac{1}{4}(4),\dfrac{1}{4}(-8)\right)[/tex]

[tex](4,-8)\to \left(1,-2\right)[/tex]

Therefore, the image of the given point is (1,-2).

Find out more about 'Dilation' here:

https://brainly.com/question/1002743

A relation contains the points (-5, -10), (-2, -4), (-1,-2), (4,8) and (5,10). is this a function?

Answers

Yes. each x-value has one distinct y-value as an output as opposed to have the points be (-5,-10) (-5,-7) (-2,-4) (-1, -2) (4,8) and (5,10) which wouldn’t be a function because x=-5 equals both -10 and -7

Factorise the following terms : a2 + bc + ac + ab​

Answers

Answer:

a²+bc+ac +ab

a²+ac+bc+ab

a(a+c)+b(c+a)

(a+c)(a+b)

Answer:

Step-by-step explanation:

take "a " and "c" as commons

a(2+b) + c(a+b)

CAN SOMEONE PLEASE CHECK MY ANSWER!!

Answers

Answer:

Yesss, that's correct!

Step-by-step explanation:

Good luck!!!!

Which of the following quadrilaterals always have diagonals thats are congruent? check all that apply

Parallelogram
Rectangles
Rhombi
Squares
Isosceles trapezoid

Answers

Answer: Rectangles, Squares, Isosceles Trapezoid

The following quadrilaterals always have diagonals that are congruent :

RectanglesSquaresIsosceles Trapezoid

Learn more about Congruency:

https://brainly.com/question/18019780?referrer=searchResults

What does the symbol 7NS2 represents

Answers

Answer:

7. NS. A. 2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers.

Step-by-step explanation:

have a nice day

One angle of an isosceles triangle measures 62º. Which other angles could be in that
isosceles triangle? Choose all that apply.
PLEASE HELP

Answers

Answer:

62 and 56   or    59 and 59

Step-by-step explanation:

62, 62, 56

or

62, 59, 59

Answer:

62, 56, and 59

ANYONE PLZ ANSWER THIS QUESTION!!!!!!

Answers

Answer:

E. 40°, 25°, -2°, -16°

Step-by-step explanation:

Temperatures given:

25°, -2°,  - 16°, 40°

Descending order of the numbers is:

40°, 25°, -2°, -16°

Correct choice is E

Elizabeth bought 5 packets of sunflower seeds. Each packet contained 12 seeds. She planted 1 packet of seeds, and 6 seeds sprouted. Which statement about the seeds in the remaining packets is best supported by this information?

Answers

the growth rate will be about 50%

What is something plus 1/2 that gives you 4/6​

Answers

it is 1/6 that is the anwser

Answer:

answer: 3/4

Step-by-step explanation:

I need help with 1 over x minus 8 so like 1/x-8
Negative Exponent

Answers

Answer:

1-8x

Step-by-step explanation:

1/x - 8

x × 1/x - 8× x

1-8x

If 20% of a number is 10, what is the whole number?​

Answers

Answer:

100

Step-by-step explanation:

20%-10

20%*5=100%--10*5=100

Answer:

the starting number is 100

A bookstore sells art books for $25 each. There are 16 books at the store. Identify the graph that represents this situation.

Answers

Step-by-step explanation:

I believe its the one on the top of the second picture because if there is only 16 books they can sell then thats the only one that makes sence hope this helped

Graph third represents the situation if a bookstore sells art books for $25 each. There are 16 books at the store option (C) is correct.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A bookstore sells art books for $25 each. There are 16 books at the store.

Let x be the total number of books sold and y be the total amount earned:

The linear equation can be framed as follows:

y = 25x

After plotting the graph of the above linear equation we will get a graph exactly the same as mentioned in the graph third.

Thus, the graph third represents the situation if a bookstore sells art books for $25 each. There are 16 books at the store option (C) is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Is VUW similar to
VXY? If yes,explain how you know. If no, explain
why not.


Answers

Answer:

Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY

Step-by-step explanation:

1/3 plus blank equals 5/6 ​

Answers

Answer: 3/6 + 2/6 = 5/6

Step-by-step explanation: 1/3 is equal to 2/6 then 3/6+ 2/6 equals 5/6

A group of preschoolers was asked to name their favorite fruit. What percent of the kids chose grapes?

29%
79%
21%
31%

Answers

100 - 18 - 37 - 24 = 21

answer is 21%
Whats 9+10?
.
.
.
.
21

TL;DR
The answer is 21%

write the expression that represents y increased by 5%

Answers

Answer:

y·1.05

Step-by-step explanation:

5% = 0.05
since it’s increasing do 1 + 0.05
= 1.05
y=1.05x

which logarithmic equation is equivalent to 2^5=32

Answers

Answer:

5= log2(32)

Step-by-step explanation:

IT IS CORRECT! I took the test :)

10)
55°
+ 82
1 + 61
A) 520
C) 40°
B) 38°
D) 73°

Answers

This isn’t possible even the sides without the X don’t add up to 180°

math work pls help :)​

Answers

Answer:

the theorum used here is sas one

Find two numbers such that their sum
is 337 and their
difference is 43?

Answers

I think that would have to be 257 and 286

John sells candy bars for 2$ each. How much will he make if he sells 10 bars

Answers

Each Candy Bar is $2, so if he sells 10, you just need to multiply,

10 * $2 = 20

So He'll make $20, selling 10 bars.

If he sells 50 bars then just multiply,

50 * $2 = 100

So He'll make $100 selling 50 bars.

Answer:

he will make $20 dallors

10×$2=20

pls help i really really need help on this. We just learned this but i can't remember it.
I'm really sleepy and wanna sleep. So i would appreciate your help.

:)

Answers

Answer:

114 cm²

Step-by-step explanation:

Area of shaded region

= area of circle -area of square

[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]

Given that radius= 10cm, r= 10cm.

[tex]\boxed{area \: of \: square = side \: \times side}[/tex]

Let the length of a side of the square be x cm.

Applying Pythagoras Theorem,

10² +10²= x²

100 +100= x²

x²= 200

[tex]x = \sqrt{200} [/tex]

Area of square

= x²

= 200cm²

Area of shaded region

= 3.14(10²) -200

= 3.14(100) -200

= 314 -200

= 114 cm²

how much higher is -200 than 450m

Answers

Answer:

-200 isn't higher than 450 but 450 is:

450 is 250 higher than -200

Step-by-step explanation:

how many seconds in an hour ​

Answers

Answer:

there are 3,600 seconds in one hour.

3600 seconds are in an hour.

(60 x 60)

Conversion Factors -

1000 milliseconds = 1 second
60 seconds = 1 minute
60 minutes = 1 hour
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