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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, i’m really struggling and having a hard time

Answers

Answer:

G

Step-by-step explanation:

please so work for the fraction in the picture. thank you so much in advance

Answers

Answer:

option A real x is a number

PLSSS HELP SOMEONE PLEASE HELP

Answers

Answer:

i) 68

ii) 87

iii) 124

iv) 81

Step-by-step explanation:

hope that helped :)

It is 68 to the right to the end of the day

gamestop is losing value at 5% per day. if its 50 dollars per share to day, how much will it be worth at the end of the week

Answers

Answer:

GameStop will be worth $34.92 by the end of the week

Step-by-step explanation:

It's sad, but true lol

2.
Fill in each missing reason.
Given: 10x - 4y= 1; X = 2
Prove: 19/4=y

Answers

Answer:

y = 19/4

Step-by-step explanation:

replace x by 2

then 10 × 2 = 20

switch the 20 to the other side and subtract 20 from 1

it will be -19

and -4 will go to the other side as a divide and -

z

-19 / -4 = 19/4

please help
A flower bed is in the shape of a triangle, with a base of 15 feet and a height of 9 feet. What is the area of the flower bed?

24 square feet
32.5 square feet
67.5 square feet
135 square feet

Answers

Answer:

Option c - 67.5

Step-by-step explanation:

Base= 15

Height = 9

Area= 1/2 x b h = 1/2 x 9 x 15 = 67.5 feet

Answer:67.5 square feetStep-by-step explanation:Multiply 15 and 9= 135Divide by 2135 ÷ 2= 67.5

Final answer: 67.5 square feet

help me with an answer i'm bad doing maths​

Answers

Answer:

3(x+5)≡3x +a

3x + 15≡ 3x +a ⇒ a=15

I hope you understood!

Answer:

3(x+5)=3x+a

3x+15=3x+a

a=3x-3x+15

a=+15 ........ans

Find the area of the triangle. Round your answers to the nearest tenth if necessary.
14 in
125 degrees
15 in

Answers

Answer:

14in

Step-by-step explanation:

basta ganun hirap nun

expand 2x(3x+2y)
answer needed asap

Answers

Answer:

6x^2+4xy

Step-by-step explanation:

Hope that helps you out!

Answer:

Step-by-step explanation:

6x^2+4xy

A bag contains 14 blue, 6 red, 12 green, and 8 purple buttons. 25 buttons are removed from the bag randomly. How many of the removed buttons were red if the chance of drawing a red button from the bag is now 1/3?

Answers

Answer:

1 button.

Step-by-step explanation:

Total buttons = 40

Total red buttons = 6

Total Buttons removed =25

Buttons left = 40–25 = 15

Let the red buttons left = x

1.)Then, the probability of red buttons after removing 25 buttons = x/15 outcome / Total outcome)

2.)Probability of red buttons in the bag after removing 25 buttons is 1/3 (As given in the question)

Comparing Statement 1.) & 2.) , We get

x/15 = 1/3

x = 5

So the red buttons left = 5

Total red buttons= 6

Red buttons removed = 6–5= 1

Hence, only 1 button was red in the 25 removed buttons

There is only one red button in the removed buttons if it has a chance of drawing a red button from the bag after removing 25 buttons from the bag with 14 blue, 6 red, 12 green, and 8 purple buttons is 1/3. This is obtained by equating the probability of getting red buttons from the bag after removing 25 buttons with the given probability of red buttons.

What is probability?

Probability is the measure of the likelihood of an event occurring.

Probability is given by the ratio of the number of favorable outcomes with respect to an event to the total number of possible outcomes.

[tex]p(A) = \frac{n(A)}{n(S)}[/tex]

p(A) is the probability of event A

n(A) is the number of outcomes with respect to A

n(S) is the total number of possible outcomes

Calculating the number of red buttons:

Given that a bag contains 14 blue, 6 red, 12 green, and 8 purple buttons.

So the total number of buttons in the bag = 40

It is given that 25 buttons are removed from the bag randomly

thus, the remaining buttons in the bag = 40 - 25 = 15

It is given that the probability of drawing a red button from the bag after removing 25 buttons is 1/3

So, for finding the number of red buttons in the bag after removing we can write,

n(A) = p(A) × n(S)

here, A is the event of drawing the number of red buttons and p(A) = 1/3 and  n(s) = 15 (after removing)

Thus, the number of red buttons in the bag after removing = [tex]\frac{1}{3}[/tex] × 15 = 5

So, the number of red buttons left in the bag = 5

then, the red buttons removed from the bag = 6 - 5 = 1

Therefore, only 1 red button is removed from the bag.

Learn more about probability here:

https://brainly.com/question/21278788

#SPJ2

Only 3% of turtle hatchlings will live to become breeding adults. How many turtles must have been born if the current number of breeding adults is 1,200?

Answers

Answer:

116400 I believe not 100% sure tho

The total number of turtles born is 40,000.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, only 3% of turtle hatchlings will live to become breeding adults.

The current number of breeding adults is 1,200

Let the total number of turtles born be t.

Now, 3% of t=1200

3/100 ×t=1200

3t=120000

t=40000

Therefore, the total number of turtles born is 40,000.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ3

what conclusions can you give why some students decided not to go to school?​

Answers

Step-by-step explanation:

There are a number of reasons why some students decide not to go to school. Some of them may be associated with family and psychological problems such as anxiety and depression, which should be investigated by trained professionals at the school if there is any suspicion of these symptoms.

There is also the possibility that students who have decided not to go to school have been victims of bullying and aggression at school, which causes fear of retaliation and psychological trauma that negatively impact the person's life.

It is important that schools provide psychological support and an active policy that combats bullying and is pro-integration of students and diversity.

WILL MARK BRAINLISTTTTTTTTTTTT

Answers

Answer:

f(2) is -2

Step-by-step explanation:

plug 2 in everywhere you see x

-2(2)^2-2(2)+10

-2(4)-4+10

-8-4+10

-2

hope this helped!

- 7(4-1) = 14
- 28 - 7r = 14
- 7r = 42
r = -6
What the right answer

Answers

Is this your question?

-7(4-1r) = 14

-28+7r=14

7r=32

r=32/7

Answer : I got two right answer
-28 -7r = 14 and -7r = 42

Step-by-step-explanation : if r = -6
Then -28 - 7×-6 = 14
14 = 14

-7×-6 = 42
42 = 42

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.

Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.

Answers

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

 

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

got it right on ed

On a certain hot summers day, 672 people used the public swimming pool. The daily prices are $1.50 for children and 2.50 for adults. The receipts for admission totaled $1289.00. How many children and how many adults swam at the public pool that day?

Answers

Adults = 281
Children = 391

We have two equations: number of people and money. I’ll use a for adults, c for children.

a + c = 672
2.5a + 1.5c = 1289

First we’ll solve for number of adults in terms of c
a = 672-c

Then drop that expression into the second equation to solve for a numerical value for c

2.5(672-c) + 1.5c = 1289
1680 - 2.5c + 1.5c = 1289
-c = -391
c = 391

Now put that into the first equation to get a numerical value for a

a + 391 = 672
a = 281

Checking the math:
2.5(281) + 1.5(391)
= 702.5 + 586.5
= $1289

Can someone help-
Im lazy lol
Ill mark brainliest c:

Answers

Answer:

c=34

Step-by-step explanation:

Use the Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]

(16^2)+(30^2)=c^2

1156=c^2

[tex]\sqrt{1156}[/tex]=c

c=34

a + x + p + 8 = r
solve for x

all help is appreciated!!

Answers

a+x+p+8 =r

(to solve isolate x)

x=r-(a+p+8)

x= r-a-p-8

Urgent please help..

Answers

Answer:

0.39

Step-by-step explanation:

Height of triangle (h) = 2.5 + 4 = 6. 5 cm

Base of triangle (b) = 3 + 3 = 6 cm

Radius of circle (r) = 4 cm

Required probability = Area of triangle/Area of circle

[tex] = \frac{ \frac{1}{2} bh }{\pi {r}^{2} } \\ \\ = \frac{ \frac{1}{2} \times 6 \times 6.5 }{3.14 \times {4}^{2} } \\ \\ = \frac{3 \times 6.5}{3.14 \times 16} \\ \\ = \frac{19.5}{50.24} \\ \\ = 0.388136943 \\ \\ \approx0.39[/tex]

There is a bag with 10 balls inside it. 2 are footballs, 3 are soccer balls, 1 is a soittall, 2 are baseballs, and 2 ore basketballs, you were to reach in and grab one ball, what is the probability that it is a basketball or soccer ball? P(basketball or soccer ball)​

Answers

Answer:

5/10, 1/2, 50% and 0.5 are all correct answers in different forms.

Step-by-step explanation:

5 of the balls are basketballs or soccer balls. This is 5/10 of the balls.

find the value of (a+b)^2 if a^2+b^2=10 and ab=3

Answers

Answer:

(a+b)^2 if a©+2b

Step-by-step explanation:

i not sure

Answer:

16

Step-by-step explanation:

.

A rectangle has a width of 2.5 inches and a length of x inches. The value of the perimeter of the rectangle is equal to the value of the area of the rectangle. Graph a system of linear equations to find x .

Answers

Answer:

Step-by-step explanation:

W=2.5, L=x

A=LW=2.5x

P=2(L+W)=2(2.5+x)=5+2x

P=A

5+2x=2.5x

5-0.5x=0

-0.5x=-5

x=10

Help me pleaseeeeeeeeeeeee

Answers

Answer:

44,10

Step-by-step explanation:

I think this is the answer

Answer:

$44.10

Step-by-step explanation:

tip = 35 x .20 = 7.00

tax = 35 x .06 = 2.10

9.10 + 35.00 = 44.10

Find the measure of the indicated angle to the nearest degree?

Please hurry

Answers

Answer:

45 degrees

Step-by-step explanation:

Using the pythagorean theorem, the 3rd side=19. So the triangle is isosceles and therefore the 2 angles we don't know the measure of are congruent. One angle measures 90 degrees. So the last 2 angles must be 90 together, since we know a triangle equals 180 degrees. Therefore the angle we are trying to find is 45 degrees.

Water is pumped out of a 500-gallon tank at a rate of 2.5 gallons per second. The inequality 500−2.5t<100 can be used to determine the time t in seconds, after which there will be less than 100 gallons of water remaining in the tank.

Answers

Answer:

[tex]160\ \text{s}[/tex]

Step-by-step explanation:

The inequality that represents the situation is

[tex]500-2.5t<100[/tex] where [tex]t[/tex] is the time in seconds

[tex]\Rightarrow -2.5t<100-500[/tex]

[tex]\Rightarrow -2.5t<-400[/tex]

[tex]\Rightarrow 2.5t>400[/tex]

[tex]\Rightarrow t>\dfrac{400}{2.5}[/tex]

[tex]\Rightarrow t>160\ \text{s}[/tex]

So, the time after which there will be less than 100 gallons of water is [tex]160\ \text{s}[/tex].

A trampoline has a jumping surface that is 15.7 ft. long and 12 ft. wide. What is the area of the jumping surface?

Answers

Answer:

188.4

Step-by-step explanation:

because if you multiply 15.7 and 12 you get 188.4 and that is the area of the jumping space.

Answer:

area = length×wide=15.7×12=188.4ft²

[tex]3q+2p+7[/tex]3q+2q+7

Answers

Answer:

that seem pretty hard but i think ik it

If the side lengths of a cube are 16 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
A. 16 ⋅ 3
B. 16 ⋅ 16 ⋅ 16
C. 16^3
D. 3^16

Answers

The answer would be B

PLEASE HELPPPPP SOOOONNNNN
Mr. Sanchez’s class sold Snickers for $1.50 each and Mr. Kelly’s class sold bottles of fruit juice for $1.26 each. Together, the classes sold 82 items and earned $115.56 for their school.
(a) Write and solve a system of equations that model the problem. Show all your work.

X*1.50+Y*1.26= 115.56



(b) Which class earned more money?


(c) How much more money did that class earn?

Answers

Answer:

Mr. Kellys class sold more fruit juice I think. I could be wrong but i am pretty sure that is the answer!

Step-by-step explanation:

In PQR, Q= 76, PQ = 18, and QR = 27
Please find angle P, T and PR for 5

Answers

Answer:

Step-by-step explanation:

Given:

m<Q = 76°

PQ = r = 18

QR = p = 27

Required:

Find P, T, and PR (q)

Solution:

✔️To find PR(q), apply the Law of Cosines.

Thus:

q² = r² + p² - 2rp×cos(Q)

Plug in the values

q² = 18² + 27² - 2×18×27×cos(76)

q² = 1,053 - 235.148

q² = 817.852

q = √817.852

q = 28.6 (nearest tenth)

✔️Find P by applying the Law of Sines:

[tex] \frac{sin(P)}{p} = \frac{sin(Q)}{q} [/tex]

Plug in the values

[tex] \frac{sin(P)}{27} = \frac{sin(76)}{28.6} [/tex]

[tex] sin(P) = \frac{sin(76)*27}{28.6} [/tex]

[tex] sin(P) = 0.9160 [/tex]

[tex] P = sin^{-1}(0.9160) [/tex]

P = 66.3° (nearest tenth)

✔️R = 180 - (P + Q)

R = 180 - (66.3 + 76)

R = 37.7°

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