The profit function P(x), revenue function, R(x), and cost function, C(x), are related by the equation P(x) = R(x) – C(x). Andrew has determined that the revenue and cost functions for a new product line at his business are given by these functions. R(x)=8x and C(x)=100+3x What is the profit function for Andrew's new product line?

Answer:

Step-by-step explanation:

Answer:

1:

m=4/3

2:

-2

3:

First, you want to set up a proportion.

8/24 = 10/y

Cross multiply to get

240 = 8y, then divide 8 from both sides to get y = 30.

Answer:

[tex]S.A.=90\pi~cm^2[/tex]

Step-by-step explanation:

Surface Area of a Cone

Given a cone of base area B and slant height L, the surface area can be calculated with the formula:

[tex]S.A.=\pi rL +B[/tex]

The cone presented in the image has a circular base of radius r=5 cm, thus its base area is:

[tex]B=\pi r^2[/tex]

[tex]B=\pi 5^2[/tex]

[tex]B=25\pi~cm^2[/tex]

The slant height can be calculated as the hypotenuse of a right triangle with legs 5 cm and 12 cm by using Pythatgora's Theorem:

[tex]L^2=5^2+12^2[/tex]

[tex]L^2=25+144=169[/tex]

Taking square roots

[tex]L = \sqrt{169}[/tex]

L = 13 cm

The surface area is:

[tex]S.A.=\pi (5~cm)*13~cm +25\pi~cm^2[/tex]

Operating:

[tex]S.A.=65\pi~cm^2 +25\pi~cm^2[/tex]

[tex]\mathbf{S.A.=90\pi~cm^2}[/tex]

Answer:

90

Step-by-step explanation:

Answer:

1,024

Step-by-step explanation:

Answer:

past number gets multiplied by 2 and so on

Step-by-step explanation:

2,4,8,16,32,64,128,256,512,1024

Answer:

48 hours

Step-by-step explanation:

The number of hours that Carrie must tutor to earn $408 will be 48 hours.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Carrie earns $8.50 per hour for tutoring her little brother.

Let x be the number of hours. Then the equation is given as,

8.50x = 408

Simplify the equation, then we have

x = 408 / 8.50

x = 48 hours

The number of hours that Carrie must tutor to earn $408 will be 48 hours.

More about the solution of the equation link is given below.

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Answer:

X= 9

Y = -6

Step-by-step explanation:

first of all setting up the equation and solve it like a system of linear equations

5x+4y=21

-3x+2y=-39

then multiply -2 on the entire second equation

5x+4y = 21

6x-4y= 78

then eliminate the 4ys and you get

11x = 99

x = 9

lastly subsititue the 9 back into one of the original equations

5(9) + 4y =21

45 + 4y = 21

4y = -24

y = -6

Answer:

-3x+2y=-39

2y=-39+3x

y=-39+3x÷2 equation 1

5x+4y=21 equation 2

5x+4(-39+3x)÷2=21

5x+2(-39+3x)=21

5x+(-78)+6x=21

5x-78+6x=21

5x+6x-78=21

11x-78=21

11x=21+78

11x=99

x=99÷11

x=9

putting value of equation 2 in equation 1

y=-39+3x÷2

y=-39+3×9÷2

y=-39+27÷2

y=-12÷2

y=-6

x=9 and y=-6 answer

hope this may help you !!!!

Answer: [tex]\frac{6}{2}[/tex]

Step-by-step explanation:

1. Use this [tex]\frac{f(b)-f(a)}{b-a}[/tex] to find the average rate of change

2. Average rate of change = [tex]\frac{f(8)-f(6)}{8-6}[/tex]

3. [tex]f(8) = - 4[/tex] and [tex]f(6) = -10[/tex] (To find these you will need to look at the points on the graph. So the points (8,-4) and (6,-10))

4. Replace -4 to f(8) and -10 to f(6)

5. So it will look like[tex]\frac{-4-(-10)}{8-6}[/tex]

6. Solve [tex]\frac{6}{2}[/tex]

Answer:

The odds against making a free throw are: 0.1905 or 0.16:0.84

Step-by-step explanation:

The odds can be categorized into two categories

The odds against is the ratio of probability of failure to probability of success.

Given

Probability of making a free throw = P = 0.84

Probability of not making a free throw = Q = 1-P = 1-0.84 = 0.16

The formula for odds-against is:

[tex]Odds-against = \frac{0.16}{0.84}\\= 0.19047..\\=0.1905[/tex]

Hence,

The odds against making a free throw are: 0.1905 or 0.16:0.84

Answer:

29

Step-by-step explanation:

The squares cannot be very big. For example the difference between 10^ and 11^2 = 100 to 121 which is a difference of 21.

What you are talking about is x + 4 prime + 7 next square.

Write the squares

1

4

9

16

25

36

add 4 to get to the prime, add 7 to get to the next square. That's 12

1 and 4 have a difference of 3 too small

4 and 9 have a difference of 5 too small

9 and 16 have a difference of 7 which is too small

16 and 25 have a difference of 9 which just a little too small.

25 and 36 has a difference of 11. Just right

25 + 4 = 29

29 + 7 = 36

Just right.

Answer:

the answer is located in the screenshot that is attached.

Step-by-step explanation:

The work is also in the screenshot attached. Hoped this helped!

The value of x if f(x) = 15 in the given function is 3

From the question,

We were given the function f(x) = 2x + 9

To determine the value of x if f(x) = 15, we will put f(x) to be equals to 15 and then solve for x in the equation

That is,

f(x) = 2x + 9

Since f(x) = 15

∴ 15 = 2x + 9

Now, to solve the above equation,

First, subtract 9 from both sides

That is,

15 - 9 = 2x +9 -9

6 = 2x

Then, we can write that

2x = 6

∴ x = 6 ÷ 2

x = 3

Hence, the value of x if f(x) = 15 in the given function is 3

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Answer:

D

Step-by-step explanation:

Answer:

x=81

Step-by-step explanation:

I am 100% sure you can go with it

Answer:

B. 1/3

Step-by-step explanation:

If you look at points (-3,0) and point (0,1). Then you would see the it would take one unit up and 3 units right this would make the slope be 1/3.

Answer:55.6

Step-by-step explanation:

Answer:

55.6

Step-by-step explanation:

Answer:

$9,724.05

Step-by-step explanation:

8000(1+.05)^4= 9724.05

sry if im wrong :)

The amount after 4 years will be equal to $9,724.05

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

Given that Mr.Turner invested $8,000 in an account for his daughter’s college education. The account pays 5% interest, compounded yearly.

The amount after 4 years will be calculated as:-

[tex]A = P ( 1 + \dfrac{r}{100})^{nt}[/tex]

[tex]A = 8000 ( 1 + \dfrac{5}{100})^{4}[/tex]

A =  9724.05

Therefore, the amount after 4 years will be equal to $9,724.05.

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Answer: 32 and 13

Step-by-step explanation:

32+13=45

32-13=19

Answer:

32 and 13

Step-by-step explanation:

Given :

Initial entrance fee of tennis class, E = $100 .

Fee of every month, F = $10 .

To Find :

How much will it cost for five months.

Solution :

Let, number of months are n and cost of class is y.

So, linear equation is given by :

y = 10n + 100       ...1)

To know the cost of 5 month, putting value of n = 5 in equation 1) we get :

y = ( 10×5) + 100

y = 50 + 100

y = $150

Therefore, the cost of five month fee in tennis class is $150.

Hence, this is the required solution.

Answer:

D) -9/4

Step-by-step explanation:

-4(3)³/3(4)²

-4(27)/3(16)

-108/48

divides both by 12

- 9/4

Answer:

C is your y intercept 3.99b is your slope

Step-by-step explanation:

Answer:

$65 + $(-25) = $40

$65 - $25 = $40

Step-by-step explanation:

Profit made last week = $65

Profit made this week = - $25

Addition expression for her profit over the two weeks

Last week profit + this week's profit:

$65 + $(-25) = $40

Subtraction expression for her profit over the two weeks :

$65 - $25 = $40

Answer:

4,5

Step-by-step explanation:

I think it is 4,5. It says reflection of it across the line, and it is in the 4th quadrent, so that -5 will become a positive 5, and the 4 will stay the same.

answer:

y=11x+11?

Step-by-step explanation:

from what i got from the equation it sounds like this might be the answer doory ^^'

Answer:

C

Step-by-step explanation:

Begin by isolating y

-6y = - x - 1

Divide everything by -6

y = -x/-6 - 1/-6

y = x/6 + 1/6

Now you want the perpendicular

m1 * m2 = - 1

m1 = 1/6

1/6 * m2 = -1

multiply by 6

m2 = - 6

That's C

c. 4/6

This is the answer

Answer:

C. 4/6

Step-by-step explanation:

2*2=4

3*2=6

4/6

Answer:

x=$20/$2.55.

Step-by-step explanation:

if each package is $2.55 then and it cost $20 then you will have to divide the numbers wich will give u x

Answer:

20 - 2.55x

Step-by-step explanation:

20 is the dollar bill Sophie bought the packages with,  x represents the number of packages bought and 2.55 is the price for each, so by subtracting 20 by the cost of the total packages results in the amount of change the cashier should give back to Sophie.

For example, if Sophie bought 3 packages of graph paper with a $20 bill the cashier should give back to Sophie $12.35.

20 - 2.55 (3)

20 - 7.65  

12.35

hope this helps!