True answer only) branlest)​

Revenue, profit and expenses are all integral parts of a company's balance sheet

The expense function is given as:

[tex]\mathbf{E = 8q + 12000}[/tex]

The demand function is given as:

[tex]\mathbf{p = -10p + 20000}[/tex]

(a) The expense in terms of q

This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]

(b) The expense in terms of p

Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]

[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]

Expand

[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]

[tex]\mathbf{E = -80p + 172000}[/tex]

(c) The revenue in terms of P

This is calculated as:

[tex]\mathbf{R = p \times q}[/tex]

So, we have:

[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]

Expand

[tex]\mathbf{R = -10p^2 + 20000p}[/tex]

(d) The profit in terms of p

We have:

[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]

So, the profit P is calculated as:

[tex]\mathbf{P =R - E}[/tex]

This gives

[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]

[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

(e) The price that yields maximum profit

In (d), we have:

[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

The maximum price is calculated using:

[tex]\mathbf{p = -\frac{b}{2a}}[/tex]

Where:

[tex]\mathbf{b =20080}[/tex]

[tex]\mathbf{a = -10}[/tex]

So, the equation becomes

[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]

[tex]\mathbf{p = 1004}[/tex]

Hence, the price that yields the maximum profit is $1004

(f) The maximum profit

In (e), we have: [tex]\mathbf{p = 1004}[/tex]

Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]

[tex]\mathbf{P =9908160}[/tex]

Hence, the maximum profit is $9908160

Read more about revenue, expenses and profit at:

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Answer:

1/4

Step-by-step explanation:

The constant of proportionality is 1/4.

Answer:

b

Step-by-step explanation:

The form of an equation representing proportion is

y = kx ← k is the constant of proportionality

y = [tex]\frac{1}{4}[/tex] x ← is in standard form

with k = [tex]\frac{1}{4}[/tex]

Using function concepts, it is found that the domain of the function that model this phenomenon is [0, 12].

The domain of a function is the set that contains all possible input values.

In this problem, the function is the height of the bamboo according to the month of the year, hence, the input is the month of the year, which has values between 0 and 12, and thus, the domain of the function that model this phenomenon is [0, 12].

A similar problem is given at https://brainly.com/question/10891721

Answer:

[tex]y=-\frac{4}{3} x+4[/tex]

Step-by-step explanation:

Slope-intercept form is written in [tex]y=mx+b[/tex]

So, to solve, we must separate y onto one side and make its coefficient one.

[tex]4x+3y=12[/tex]

Subtract 4x on both sides.

[tex]3y=12-4x[/tex]

Divide both sides by the coefficient of [tex]y[/tex], which is 3.

[tex]\frac{3y}{3} =\frac{12-4x}{3}[/tex]

Simplify.

[tex]y=4-\frac{4}{3} x[/tex]

Rewrite this equation into standard form by changing the order of [tex]mx[/tex] and [tex]b[/tex]

[tex]y=-\frac{4}{3} x+4[/tex]

Answer

y=4/5 times 2/3

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

You would need to -3 on both sides to get:

-11x = -121.

To find x on it's own you would have to divide by -11 on both sides.

You would get a result of x = 11.

Hope this helps :)

Answer:

y-intercept: 5/3

Step-by-step explanation:

Our equation: y = mx + b

Given equation: y = -8/3 + 5/3

=> Now, let's compare.

=> y = mx + b = y = -8/3 + 5/3

=> we can tell that the y-intercept is b, which is 5/3.

Hoped this helped.

[tex]y = - \dfrac 83 x + \dfrac 53 \\\\\\\text{The above equation is in a form of y = mx +b where b is the y-intercept}\\\\\text{Hence}~ \dfrac 53~ \text{is the y-intercept}[/tex]

Answer:

I hope this helps

Answer:

9610/39

Step-by-step explanation:

You need to multiply 96.1 by the reciprocal of 39% to get the original number. 96.1x100/39 = 9610/39. This can also be rounded to 246.41

Answer: 26.34

Step-by-step explanation:

The bacteria will take 26.3409 minutes.

Exponents are used in exponential equations, as the name suggests. We are aware that a number's exponent (or base) tells us how many times the original number has been multiplied. But what occurs if a number's power is a variable? An exponential equation is one in which the power is a variable and a part of the equation.

Given f(t) = 256[tex]e^{0.0611t}[/tex]

initial condition when t = 0

f(0) = 256

to find the time when population reach 5 times its initial value

= 256 x 5 = 1280

f(t) = 1280,

to calculate t

1280 = 256[tex]e^{0.0611t}[/tex]

[tex]e^{0.0611t}[/tex] = 5

0.0611t = ln(5)

0.0611t = 1.60943

t = 1.60943/0.0611

t = 26.3409 minutes.

Hence Bacteria will take 26.3409 minutes to reach 5 times.

Learn more about Exponential Equations;

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#SPJ5

Answer:

≈ 31.7 yd

Step-by-step explanation:

let the missing side be x , then using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 9² = 33²

x² + 81 = 1089 ( subtract 81 from both sides )

x² = 1008 ( take square root of both sides )

x = [tex]\sqrt{1008}[/tex] ≈ 31.7 yd ( to the nearest tenth )

Answer:

no

Step-by-step explanation:

It is not because it does not pass the vertical line test.

****************************************************************

This is the vertical line test:

Imagine a vertical line that starts at the left side of the graph, at x = -8, and is moving right to x = 8. If at any time in the vertical line's movement from left to right, it intersects more than 1 point of the relation simultaneously, then the relation is not a function.

******************************************************************

Here, when the vertical line is x = -7, the vertical line intersects points (-7, 4) and (-7, 6) simultaneously. That means this relation does not pass the vertical line test, and it is not a function.

Answer:

45*x-10

Step-by-step explanation:

10 less than a number would give you

x - 10

and the product of a number means your multiplying and your multiplying 45 so you would get

45*x

add them together and you get

45*x-10

I honestly don't know but I think it would come out to be 4/5

Answer:y+2 = 2(x-1)

Step-by-step explanation:

First we find the slope

(1,-2) (-3,6)

rise/run

change of y/change of x

8/-4

-2

The slope is -2

point slope form is y-y1 = m(x-x1)

m is the slope, y1 is y coordinate of a point and x1 is x coordinate of same point as the y1 point.

lets use (1,-2)

y-(-2) = 2(x-1)

point slope form

y+2 = 2x-2

y = 2x-4

slope intercept form

The answer is P and R

Answer:

Q and R

Step-by-step explanation:

to be similar all sides must have the same scaling factor :

the factor from 2 to 8 is 4.

and the factor from 3 to 12 is also 4.

therefore, these 2 parallelograms are similar.

Answer:

∠ B = 126°

Step-by-step explanation:

∠ A and ∠ B are alternate angles and are congruent , then

8x + 78 = 2x + 114 ( subtract 2x from both sides )

6x + 78 = 114 ( subtract 78 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6

Then

∠ B = 2x + 114 = 2(6) + 114 = 12 + 114 = 126°

I ain’t giving n9 answer

Answer:

You would need the intial fee in dollars/cents

Expression:

c=initial fee

x=amount of miles

[tex]1.80x+c=12[/tex]

Step-by-step explanation:

You would need the intial fee in dollars/cents

Expression:

c=initial fee

x=amount of miles

[tex]1.80x+c=12[/tex]

Answer:

...............................

we have: [tex]P=(7c-5) +(10c-2) + (7c-5) = 7c-5+10c-2 + 7c-5=24c-12[/tex]

ok done. Thank to me :>

Answer:

E, -1/5

Step-by-step explanation:

The slope of a line, given the coordinates, can be written as m = (y2 - y1) / (x2 - x1), where x and y are points in the coordinates.

Let's look at the coordinates. (-5, 1), the first value in the brackets is always the x-coordinate and the second value is always the y-coordinate. So -5 is x and 1 is y. But we have to points, so -5 is x1 and 1 is y1, and -20 is x2 and 4 is y2.

By substituting

m = (4 - 1) / (-20 - [-5])

m = 3 / (-20 + 5)

m = 3 / -15

m = -1 / 5

[tex]\text{Given that,}~ (x_1,y_1) = (-5,1)~~ \text{and}~~ (x_2, y_2) =(-20,4)\\\\\\\text{Slope,}~ m =\dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 1}{-20 +5 } =-\dfrac 3{15} = - \dfrac 15[/tex]

Answer:

60

Step-by-step explanation:

y =  k/x ( as y is inversely proportional to x)

yx = k

--> k = yx

k = (6)(10)

k = 60

Enjoy it. I hope it will help you.