The revenue generated by a company manufacturing lawn mowers is
R=−0.9x2+90.2x , where x represents the number of mowers produced. The cost to produce the mowers is C=29x+500 , where x is the number of mowers produced.

Answers

Answer 1

The profit generated in terms of x is  −0.9x²+61.2x - 500

How to calculate profit functions

Given the following parameters

Revenue generated by a company = R=−0.9x²+90.2x

The cost to produce the mowers C(x) =  29x + 500

Determine the profit function

p(x) = R(x) - C(x)

P(x) = −0.9x²+90.2x  - (29x + 500)

P(x) = −0.9x²+90.2x - 29x - 500
P(x) = −0.9x²+61.2x - 500

Hence the profit generated in terms of x is  −0.9x²+61.2x - 500

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Related Questions

if x-y= -10 and x-y=2 what is the value of x

Answers

Answer:

No solutions

Step-by-step explanation:

if x-y=-10, then x<y

but in x-y=2, x>y

x cannot be bigger than and less than y at the same time

Question Number 16 You are the head seamstress at a boutique that specializes in making prom dresses. You are supervising the construction of a new style of dress that will take 180 hours of work to complete. Twenty percent of this time is for beading. Thirty-five percent of this time is for adding ruffles. The remaining time is divided equally between embroidery and sewing. When pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing. The dress is then sold in the showroom for 25% more than the cost of labor and materials. How much will this dress sell for in the boutique?

Answers

This dress will be sold in the boutique for $6,716.25.

Price calculation

Given that a new style of dress will take 180 hours of work to complete, and twenty percent of this time is for beading, thirty-five percent of this time is for adding ruffles, and the remaining time is divided equally between embroidery and sewing, and when pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing, and the dress is then sold in the showroom for 25% more than the cost of labor and materials, To determine how much this dress will sell for in the boutique, the following calculation must be made:

(((180 x 0.25) x 40) + ((180 x 0.35) x 35) + ((180 x 0.20) x 20) + ((180 x 0.20) x 18)) x 1.25 = X((45 x 40) + (63 x 35) + (36 x 20) + (36 x 18)) x 1.25 = X(1800 + 2205 + 720 + 648) x 1.25 = X5373 x 1.25 = X6,716.25 = X

Therefore, this dress will be sold in the boutique for $6,716.25.

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Answer:

This dress will be sold in the boutique for $6,716.25.

Step-by-step explanation:

Lela bought 3.3 pounds of nuts they cost $1.79 a pound. How much money did she spend

Answers

Answer:

5.907

Step-by-step explanation:

I believe if you multiply 3 times 1.79 you get 5.37 then if you multiply 0.3 times 1.79 you get 0.537. If you combine the 2 you get 5.907. I think this is correct not sure though D:

A line passes through the point(5,-6) and has a slope of -2 .

Answers

Answer:

Possible answers (6,-8) and (4,-4)

Step-by-step explanation:

These two possible answers show the line has a slope of -2

Super easy math, problem solving 7th grade

Answers

Answer:

P=1, G=2, T=3, E=6, D=7, A=9

explanation:

CAT+DOG=PETS

Replace each letter with its value:

893+742=1635 which is true

Solve for x. Round to the tenths place. Can somebody help

Answers

Answer:

12.12

Step-by-step explanation:

7^2+x^2=14^2, as by the Pythagorean theorem.

49+x^2=196,

x^2=147,

square root of 147;

it's close to 144,

thus, 12.12

Give the dimensions of 2 solids with equal surface area and different volume

Answers

Two solids with the same surface and different volumes are a cube of side length of 1 unit, and a sphere of radius of 0.69 units.

How to find the two solids?

First, let's define a cube of a side length of 1 unit. The surface of this cube is equal to 6 times the area of one of the faces, or:

S  = 6*(1 unit square) = 6 units square.

And the volume is equal to the side length cubed, so we have:

V = (1 unit)^3 = 1 unit cubed.

Now, let's find a sphere with the same surface than our cube. For a sphere of radius R, the surface is:

S = 4*3.14*R^2

Then we must have:

4*3.14*R^2 = 6 units square

R = √(6/(4*3.14)) units = 0.69 units.

And the volume of this sphere is:

V = (4/3)*3.14*R^3 = (4/3)*3.14*(0.69 units)^3 = 1.38 cubic units.

So the sphere has the same surface and more volume.

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Write the slope-intercept form of the equation of the line that passes through the point (-4,0 ), and is parallel to y=-(5/4x)+4

Answers

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -4      y_1= 0  

     m= +5/4 (parallel means same slope)

an equation in the point-slope form is : y +0= -5/4(x+4)

Help picture below problem 11

Answers

Answer:

Missing Angle = 26⁰ ( corresponding angles )

An architech was designing a rectangular room with a length of 16 feet, a width of 14 feet, and a height of 10 feet. what is the volume, in cubic feet , or the room?

Answers

2240 cubic feet

The formula for volume is length x width x height

16 x 14 x 10 = 2240

please help and please leave a legit answer

Answers

Answer:

y= -12/x + 3

Step-by-step explanation:

Here's my answer

I need help please give explanation and thank you

Answers

Area of semi circle is 0.5 (pie*radius^2)

Area of triangle = 0.5(width*height )


Number 1. Don’t worry about the other stuff well you can the other stuff if you want I don’t know them either

Answers

Applying the appropriate circle theorems involving angles formed by chords and tangents, we have:

1. x = 75°; y = 85°, z = 210°

2. x = 38°

3. x = 143°

What is the Angles of Intersecting Tangents Theorem?

The angle formed outside a circle when two tangents intersect equals half of the positive difference of the intercepted arcs, based on the angles of intersecting tangents theorem.

What is the Angles of the Intersecting Chords Theorem?

The angles of intersecting chords theorem states that, half the sum of the intercepted arcs equals the vertical angle formed by two chords in a circle.

What is the Inscribed Angle Theorem?

According to the inscribed angle theorem, the measure of an inscribed angle in a circle = 1/2(measure of intercepted arc)

1. x = 180 - 105 (opposite angles in a cyclic quadrilateral are supplementary)

x = 75°

y = 180 - 95 = 85°

z = measure of intercepted arc HEF = 2(105) [inscribed angle theorem]

m(HEF) = 210°

2. x = 1/2(218 - 142) [angles of intersecting tangents theorem]

x = 1/2(76)

x = 38°

3. x = 1/2(146 + 140) [angles of intersecting chords theorem]

x = 1/2(286)

x = 143°

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Simplify: |3 – 10| – (12 / 4 + 2)^2
0 - 32
O – 18
O3
0 - 6

Answers

Answer:

-18

Step-by-step explanation:

Simplify: |3 – 10| – (12 / 4 + 2)^2

[tex]|3 - 10| - (\frac{12}{4} + 2)^2\\\\|-7|-(\frac{12}{4} + 2)^2 < == absolute\ numbers\ are\ always\ positive\\\\7-(3+2)^2 < ==add\ numbers\ in\ parenthesis\\\\7-5^2 < ==square\ the\ number\ (5)\\\\7-25 < ==add\ numbers\\\\-18 < ==final\ answer[/tex]

Hope this helps!

Answer:

simplify the matrix:

36,−32,−18,3,−6

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 6 feet and a height of 18 feet. Container B has a diameter of 8 feet and a height of 17 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?​

Answers

The percent of container B that is left after pumping the water of Container A full in it is 40 per cent .

Step by step explanation :

Given -

Two containers ( Container A & Container B ) in shape of cylinders.Diameter of Container A = 6 feetHeight of Container A = 18 feet Diameter of container B = 8 feet Height of Container B = 17 feet

To find -

The percent of container B that is left after pumping the water of Container A full in it.

Solution -

Firstly, we have to find how much water each container can hold i.e. volume of containers .

We know that -

[tex] \boxed{ \mathfrak \purple{volume \: of \:cylinder = \pi {r}^{2} h} }[/tex]

where, r is the radius of the cylinder & h is the height of the cylinder.

Now,

For Container A

Given, diameter = 6 feet

.•. Radius = [tex] \frac{6}{2} [/tex]

[tex] = 3 \: \mathfrak{feet}[/tex]

Height = 18 feet

•.• Volume of Container A = [tex] \frac{22}{7} \times {3}^{2} \times 18[/tex]

[tex] = \frac{22}{7} \times 3 \times 3 \times 18[/tex]

[tex] = \frac{3564}{7} [/tex]

[tex] = 509.142857 \:{ft.}^{3} \mathfrak{(approximately)}[/tex]

Rounding off to the nearest tenth . ..

[tex] => 510 \: \mathfrak{ {feet}^{3} }[/tex]

For Container B

Given, Diameter = 8 feet

.•. Radius = [tex] \frac{8}{2} [/tex]

[tex] = 4 \: \mathfrak{feet}[/tex]

Height = 17 feet

•.• Volume of Container B = [tex] \frac{22}{7} \times {4}^{2} \times 17[/tex]

[tex] = \frac{22}{7} \times 4 \times 4 \times 17[/tex]

[tex] = \frac{5984}{7} [/tex]

[tex] = 854.857143 \: {ft.}^{3} \mathfrak{(approximately)}[/tex]

Rounding off to the nearest tenth. ..

[tex] => 850 \: \mathfrak{ {feet}^{3} }[/tex]

Now,

Volume container B that is left after pumping the water of Container A in it = Volume of Container B - Volume of Container A

= ( 850 - 510 ) ft^3

= 340 ft^3

Now ,

The percent of container B that is left after pumping the water of Container A in it = Volume container B that is left after pumping the water of Container A /Total volume of Container B × 100

[tex] = \frac{340}{850} \times 100[/tex]

[tex] = \boxed{ 40 \: \%}[/tex]

The population of a city increases by 0.7% per year. If this year's population is
390,000, what will next year's population be, to the nearest individual?

Answers

Answer:

392,730

Step-by-step explanation:

This increase will be over one year which will just be a 0.7% increase

to 390,000

0.7% of 390,000 is 2730

(0.007 * 390,000 = 2730)

390,000 + 2730 = 392,730

Or more simply we can add the increase in percentage to 1 for our multiplier

390,000 * 1.007 = 392,730


The first term of an A.P is 3 and the fifth term is 9.Find the number of terms in the progression if the sum of the progression is 81.​

Answers

Answer:

its A becauss i tryed b and th en i tried A so its a

im confused can somebody help me please

Answers

well, we know the piece-wise function is [tex]f(x)= \begin{cases} 7x+10&x < 0\\\\ 7x+20&x\geqslant 0 \end{cases}[/tex]

hmmm so what's f(-1), namely what is f(x) when x = -1?

well, when x = -1, hmm -1 is less than 0, so the subfunction that applies to that will be when "x" is less than 0, namely the part of 7x + 10, so we can say

f(-1) = 7(-1) + 10

f(-1) = 3

so hmm what's f(0) or namely, what's f(x) when x = 0?

well, what subfunction applies when x = 0? well, it has to be the subfunction with "x greater or equals to 0", x ⩾ 0, so then is 7x + 20

f(0) = 7(0) + 20

f(0) = 20.

5. Solve the following differential equations
(a) dy/dx = 3y sin x (general solution)
(b) dy/dx = (given that x=0 when y=0)

Answers

Answer:

Step-by-step explanation:

hello :

dy/dx = 3y sin x    means : (1/3) dy/y =sinx dx.....continu  integ

Elise drew p pictures. Nora drew 70 fewer pictures than Elise. Write an expression that shows how many pictures Nora drew

Answers

Answer:

p - 70

Step-by-step explanation:

elsie drew = p

70 less than p

nora drew = p - 70

Answer:

p - 70

Step-by-step explanation:

We're looking for the number of drawings Nora made, which is 70 fewer than Elise's, p. In instances like this, always subtract the number of less drawn from the quantity drawn by the other person, which is 70 - p. However, this would almost certainly result in a negative response, which isn't feasible. If you flip them over, you'll get p - 70.

(WORTH 70 PLS HELP) What percent of the values represented in this box-and-whisker plot are less than 20?

Box-and-whisker plot defined by points at 5, 20, 25, 30, and 45.


about 10%

about 25%

about 50%

about 75%

Answers

Answer:

About 25%

Step-by-step explanation:

The median is 25, and you know there are quartiles. From the median to a consecutive quartile, there is a range of 25%. For less than 20, It's from 5-20. Since there is a consecutive quartile, you get 25%!

Answer:

25%

Step-by-step explanation:

I took the test                                                                                                                                         Hope this helps :)

[tex]-35x^{6}=(-5x^2)(B)[/tex]

Find the missing factor of B that makes this equation true

Answers

this would be B=7x^4

Determine the perimeter of the figure below:
6 cm
5 1/2


helpppp

Answers

Answer:

•SEE BELOW•

WHAT IS PERIMETER?

>> PERIMETER MEANS THE SUM OF ALL SIDES OF FIGURE

NOW,LET'S SEE YOUR GIVEN QUESTION.

THE FIGURES 2 SIDES DATA IS GIVEN

6CM

5.5CM

THEREFORE : 6 + 5.5

: 11.5 CM

THE PERIMETER OF FIGURE IS 11.5 CM

4 pounds of apples cost $6. how much will 6 pounds cost​

Answers

Answer:10 bucks

Step-by-step explanation:

have a good day

$9
One pound costs $1.5, as 6/4 equals 1.5. So, you would do 6 x 1.5, which results in 9.

In a​ lottery, the top cash prize was ​$657 ​million, going to three lucky winners. Players pick five different numbers from 1 to 53 and one number from 1 to 43.
A player wins a minimum award of $200 by correctly matching four numbers drawn from the white balls​ (1 through 53​) and matching the number on the gold ball​ (1 through 43​). What is the probability of winning the minimum​ award?

Answers

Answer:

1 chance in 123,396,455

Step-by-step explanation:

Number of permutations of 5 out of the 53 = 53*52*51*50*49 = 344362200

Number of permutations of 4 out of these 5 correct = 120

So number permuations for first 53  = 344362200/ 120 = 2869685

So for minimum prize there are 2869685 * 43 = 123396455 perms.

The amount of work to move a chair to the living room is equal to 10 joules. How much work would it be to move the same chair using a simple machine?

Answers

The work done by the machine is the product of force and distance

The amount of work done by the machine is 10 joules

How to determine the amount of work?

The amount of work done is calculated using:

W = Fd

Where:

F represents the forced represents the distance

The distance moved to the living room is the same when you move the chair or a machine does is the same.

Also, if the force applied in moving the chair remains unchanged, the amount of work done would be the same.

Hence, the amount of work done by the machine is 10 joules

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100 points and brainliest. Put nonesense and get reported. What is wrong with the equation below, make sure to explain

Answers

Answer: 1 3/4(8)= 14

Step-by-step explanation:

That is the correct answer

Find the 18th term in the arithmetic sequence.
2, 8, 14, 20, 26, ...
87
110
104
102

Answers

I’m pretty sure it is 2

Answer:

104

Step-by-step explanation:

1st term + or - common difference (term -1)

common difference is +6

2 + 6 (18-1)

2 + 6 (17)

2 + 102

104

The number of peanuts in bags is normally distributed with a mean of 172.5 peanuts and a standard deviation of 1.9 peanuts.

What is the z-score of a bag containing 168 peanuts?

−2.37

−2.06

−1.32

−1.05

Answers

-2.368 tell me if I’m wrong

Two gears are connected and rotating at the same time. The smaller gear completes 2 1/2 rotations every time the larger gear completes 1/4 of a rotation.


How many rotations does the smaller gear complete when the larger gear completes 1 rotation?


A.1/10

B. 5/8

C. 5

D. 10

Answers

The small does 2 1/2 for 1/4 of the large. Multiply by 4 to get a full rotation of the large one:


2 1/2 x 4 = 10


answer: D. 10

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