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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

Answer:

i) 68

ii) 87

iii) 124

iv) 81

Step-by-step explanation:

hope that helped :)

Answer:

6x^2+4xy

Step-by-step explanation:

Hope that helps you out!

Answer:

Step-by-step explanation:

6x^2+4xy

Is this your question?

-7(4-1r) = 14

-28+7r=14

7r=32

r=32/7

a+x+p+8 =r

(to solve isolate x)

x=r-(a+p+8)

x= r-a-p-8

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

Answer:

14in

Step-by-step explanation:

basta ganun hirap nun

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

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.

Answer:

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

Step-by-step explanation:

It's sad, but true lol

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:

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

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.

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

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

Answer:

option A real x is a number

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.

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:

G

Step-by-step explanation:

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]

Answer:

(a+b)^2 if a©+2b

Step-by-step explanation:

i not sure

Answer:

16

Step-by-step explanation:

.

Answer:

that seem pretty hard but i think ik it

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.

Answer:

116400 I believe not 100% sure tho

The total number of turtles born is 40,000.

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

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°

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

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

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!

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].

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

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