A manufacturing company has developed a cost model, C(X)= 0.15x^3 + 0.01x^2 +2x +120, where X is the number of item sold thousand. The sales price can be modeled by S(x) + 30- 0.01x. Therefore revenues are modeled by R(x)= x*S(x).
The company's profit, P(x) = R(x)-C(x) could be modeled by
1. 0.15x^3+ 0.02x^2- 28x+120
2. -0.15x^3-0.02x^2+28x-120
3. -0.15x^3+0.01x^2-2.01x-120
4. -0.15x^3+32x+120

Answers

Answer 1

Profit is calculated by subtracting the total cost from the total revenue as expressed in the equation given above as,
P(x) = R(x) - C(x)

If we are to substitute the given expression for each of the terms, we have,
P(x) = x(S(x)) - C(x)
Substituting,
P(x) = x(30 - 0.01x) - (0.15x³ + 0.01x² + 2x + 120)

Simplifying,
P(x) = 30x - 0.01x² - 0.15x³ - 0.01x² - 2x - 120

Combining like terms,
P(x) = -0.15x³ - 0.02x² + 28x - 120

The answer to this item is the second among the choice, number 2.

Related Questions

Casey took 25 in 135 days at this rate in how many days will she take another 10 tests

Answers

It will take her another 50 days to do 10 tests.

Where does f(x) = 3x2 – 11x – 4 intersect the x-axis? The negative x-intercept is at ( , 0). The positive x-intercept is at ( , 0).

Answers

The function f(x) = 3x^2 - 11x - 4 is a quadratic equation; the negative x-intercept is at (-1/3,0) and the positive x-intercept is at (4,0)

What is the x-intercept?

The x-intercept of a function is the point where the function crosses the x-axis

Check below on how to determine the x-intercept

The function is given as:

f(x) = 3x^2 - 11x - 4

Next, we plot the graph of the function

From the attached graph, the function crosses the axis at:

(-1/3,0) and (4,0)

Hence, the negative x-intercept is at (-1/3,0) and the positive x-intercept is at (4,0)

Answers

Let x = the raw score at the 34th percentile.

Given:
μ = 50, the mean
σ = 4, the standard deviation

The z-score is
z = (x - μ)/σ = (x - 50/4

From the normal tables, obtain z = -0.41 for 34% of the area.
Therefore
(x - 50)/4 = -0.41
x - 50 = -1.64
x = 48.36

Answer: 48.36

A random triangle is formed in some way, such that all pairs of angles have the same joint distribution. what is the correlation between two of the angles (assuming that the variance of the angles is nonzero)?

Answers

Does it has a picture?

The correlation between two angles in a random triangle is negative. This means that as one angle increases, the other angle decreases, and vice versa.

How to find what is the correlation between two of the angles

In a random triangle, the angles are not independent of each other; they are constrained by the fact that the sum of the angles in any triangle must be 180 degrees (or π radians). Let's consider two of the angles, say A and B, in the triangle.

Since the sum of all three angles is a constant (180 degrees or π radians), if one of the angles (let's say A) increases, it implies that the other angle (B) must decrease in order to maintain the sum as a constant. Conversely, if A decreases, B must increase. This negative relationship between the two angles implies that they are negatively correlated.

Therefore, the correlation between two angles in a random triangle is negative. This means that as one angle increases, the other angle decreases, and vice versa.

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Find the probability that a randomly selected student is male, given that the student is a nursing major. the probability is . 027.027. (round to three decimal places as needed.) (b) find the probability that a randomly selected student is a nursing major, given that the student is male. the probability is nothing. (round to three decimal places as needed.)

Answers

Final answer:

The probability that a randomly selected student is male, given that the student is a nursing major, is 0.027. The probability that a randomly selected student is a nursing major, given that the student is male, is undefined.

Explanation:

To find the probability that a randomly selected student is male, given that the student is a nursing major, we can use conditional probability. Let's assume that P(M) represents the probability of selecting a male student, and P(N) represents the probability of selecting a nursing major. The given information states that P(M|N) = 0.027, which means the probability of selecting a male student, given that the student is a nursing major, is 0.027.

To find the probability that a randomly selected student is a nursing major, given that the student is male, we can use conditional probability once again. The given information states that P(N|M) = nothing. This implies that there is no information given about the probability of selecting a nursing major, given that the student is male. Therefore, the probability is undefined and we cannot determine an answer.

Write the equation for a parabola with a focus at (0,-5)(0,−5)left parenthesis, 0, comma, minus, 5, right parenthesis and a directrix at y=-3

Answers

Final answer:

The equation of a parabola with a focus at (0,-5) and a directrix at y=-3 is derived by equating the distances of any point (x, y) in the parabola from the focus and the directrix respectively. Simplifying these expressions leads to the equation y = (1/8)x² - 1.

Explanation:

The equation for a parabola can be derived from its definition. A parabola is defined as the set of all points (x, y) in a plane which are equidistant from a fixed point, the focus (given here as (0,-5)) and a fixed line, the directrix (given as y=-3).

Let's calculate the distance between the focus (0, -5) and any point in the parabola (x, y). We get the equation:
√[(x-0)² + (y-(-5))²].

And the distance between the point (x, y) and the directrix (y=-3) is |y - (-3)| = y + 3.

Since we know that the two distances are equal, we can equate the two expressions:
√[(x-0)² + (y-(-5))²] = y + 3.

Solving it further, squaring both sides, and simplifying, we get:
y = (1/8)x² - 1.

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solve the following: all fractions should be reduced to lowest terms and mixed numbers. -1 1/4 x (-2/5)=

Answers

-1 1/4 * (-2/5) =

= -5/4 * (-2/5)

= 10/20

= 1/2

Convert -1 1/4 to the mixed number -5/4.

Then the product of -1 1/4 and -2/5 is (-5/4)(-2/5) = 10/20, or 1/2.

Please, do not use " x " to indicate multiplication. " x " is reserved for naming variables. Instead, use " * " to indicate mult.

Thus, your problem is best written -1 1/4 * -2/5

When asked to write the prime factorization of the number 27, a student wrote 9·3. Explain the error and rite the correct answer. What would be the correct answer

Answers

Prime factors are numbers used to multiply to another number that cant be divided by anything else except for 1. The problem is that 9 can be divided into 3 and 3. So the prime factorization of 27 is 3 x 3 x 3

∠ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132°, what is the measure of ∠ABD?

Answers

you're given both arcs, minor and major, or near and far arcs, all you need to do, is really plug them in

The table shows the five most populated countries in the world. How many times as many people live in China than in the United States? Round to the nearest tenth if necessary

Answers

Divide 1.325 by 0.304 to answer this question.

This comes out to 4.4. China has 4.4 times as many people as does the US.

The fuel efficiency in miles per gallon of all bmw 320i's is (approximately) normally distributed with a mean of 25 and a standard deviation of 2. a dealer receives a shipment of a random sample of 320i's (random with respect to m.p.g., that is) from the factory. find the probability that average fuel efficiency for this shipment is less than 24 miles per gallon if the dealer receives (i) one car, (ii) four cars and (iii) sixteen cars. explain briefly why these three answers differ.

Answers

Given:
μ = 25 mpg, the population mean
σ = 2 mpg, the population standard deviation

If we select n samples for evaluation, we should calculate z-scores that are based on the standard error of the mean.
That is,
[tex]z= \frac{x-\mu}{\sigma / \sqrt{n} } [/tex]

The random variable is x = 24 mpg.

Part (i): n = 1
σ/√n = 2
z = (24 -25)/2 = -0.5
From standard tables,
P(x < 24) = 0.3085

Part (ii): n = 4
σ/√n = 1
z = (24 -25)/1 = -1
P(x < 24) = 0.1587

Part (iii): n=16
σ/√n = 0.5
z = (24 - 25)/0.5 = -2
P(x < 24) = 0.0228

Explanation:
The larger the sample size, the smaller the standard deviation.
Therefore when n increases, we are getting a result which is closer to that of the true mean.

BRAINLEIEST ANSWER!! What is the unit rate for 501.9 mi in 21 h? Enter your answer, as a decimal, in the box. m/h

Answers

You need miles per hour.
Miles divided per hour.
Divide the distance by the time.

(501.9 mi)/(21 h) = 23.9 mph

To find the unit rate divide total miles by total hours:

501.9 / 21 = 23.9 miles per hour

Which strategy would you use to find 2+8

Answers

Left to right
2+8=10

I would say 'I have eight, now I will add two, nine, ten. 2 plus eight is 10'

Can you help me on #5

Answers

For 5 a, the y intercept is 2, because when x is 0, y is 2.
The growth is 5, because the y values increase by 5 whenever x is increased by 1.

For 5 b, This problem is linear because it goes up or down a set amount (it's not exponential).
Since this is a linear equation, we can use slope intercept form to represent this.
Slope intercept form is y=mx+b, where m is the slope (rise over run) and b is the y intercept.
Plugging in the slope and y-intercept, we get an equation of y=5x+2

For 5 c, we can plug 52 into the equation we just made.
52=5x+2
-2 -2
50=5x
[tex] \frac{50}{5}= \frac{5x}{5}[/tex]
10=x

Hope that helps!

phyllis says you have to know the number of fans in order to dertemine the fraction of the fan that are children

Answers

Yes, you do need to know how many fans there are in total in oder to determine what fraction of them are children.

True. You must know the whole number before you can find out how much of something takes makes up another

hope this helps

Ron's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served 65 coffees in all, 26 of which were regular. What percentage of the coffees were regular?

Answers

Attached the solution and work.

Which change would make the statement below true?Circle the letter of the correct answer. 3.7 < 3.56 A.put a 0 in the hundredths place to change 3.7 to 3.70. B.Change the hundredth digit in 3.56 to 8.
C.Change the tenths digit in 3.56 to 6.
D. Change the tenths digit in 3.56 to 8.

Answers

The answer's D, I think. Hope this helps.

Final answer:

To make 3.7 < 3.56 true, you would need to change the tenths digit in 3.56 to a smaller number. Option C, changing the tenths digit in 3.56 to 6, would make the statement true.

Explanation:

To make 3.7 < 3.56 true, you would need to change the tenths digit in 3.56 to a smaller number. Option C, changing the tenths digit in 3.56 to 6, would make the statement true. By changing the tenths digit to 6, the new number would be 3.66, which is greater than 3.7.

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Madeline bought 30 hotdogs and burgers altogether. 2/5 of the food bought were burgers. How many hotdogs did she buy?

Answers

she bought 18 burgers and 12 hotdogs.

Find how long it takes a $ 900.00 investment to earn $ 120.00 in interest if it is invested at 6% compounded annually.

Answers

so, we know the earned interest is 120, and we know the original deposited amount is 900 bucks, so, the accumulated amount will then be 900 + 120 or 1020 bucks.

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$1020\\ P=\textit{original amount deposited}\to &\$900\\ r=rate\to 6\%\to \frac{6}{100}\to &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years \end{cases}[/tex]

[tex]\bf 1020=900\left(1+\frac{0.06}{1}\right)^{1\cdot t}\implies \cfrac{1020}{900}=(1.06)^t\implies \cfrac{102}{90}=(1.06)^t \\\\\\ log\left(\frac{102}{90} \right)=log(1.06^t)\implies log\left(\frac{102}{90} \right)=t\cdot log(1.06) \\\\\\ \cfrac{log\left(\frac{102}{90} \right)}{log(1.06)}=t\implies 20.92 \approx t[/tex]

Mateo make six loaves of banana bread he sells 2/3 of the loaves a bake sale which expression represents how many loaves Mateo sold at the bake sale

Answers

2/3=n/6
2/3*6=4
Hope this helps

QUESTION 2

A $5000 investment earns $550 annual simple interest in one year. What is the annual interest rate?

11.5%

11%

12%

10.5%

QUESTION 5

Marie mixes 16 liters of 18% acid solution with a 27% acid solution to make a 21% acid solution.

How many liters of 27% solution did she use?

8 liters

12 liters

13.7 liters

16 liters

Answers

for Question 2 is 11%

And for question 5 is 8. hope i helped you

Question 2 is 11 i am sure

For the data in the table does Y very directly with X

Answers

I will explain and show you how to solve this kind of problems with an example.

Example:

Table:

x          y

16        4

32      16

48      36

Direct relation means that the ratio y / x is constant.

So, let's examine this ratio:

Ratio y / x

4/16 = 1/4

16/32 = 1/2

36/48 = 3/ 4

Given that the ratio y/x is not constant, the conclusion is that y does not vary directly with x.

Norman spends $100. He spends $35 on a video game. What percentage of his original $100 does Norman have left after buying the game?

Answers

Attached the solution and work.

Final answer:

To find the percentage of Norman's original $100 that he has left after buying the game, subtract the cost of the game from $100 and then calculate the percentage. Norman has 65% of his original $100 left after buying the game.

Explanation:

To find the percentage of Norman's original $100 that he has left after buying the game, we need to subtract the cost of the game from $100 and then calculate the percentage.

Subtract $35 from $100: $100 - $35 = $65.Calculate the percentage of $65 out of the original $100: $65 / $100 × 100 = 65%.

Therefore, Norman has 65% of his original $100 left after buying the game.

Suppose the number 1155 is written as the product of three positive integers. What is the smallest possible value of the sum of those three integers?

Answers

3. the equation I used is: 3×5×77

My first thought when I read this problem was "11 is a factor of 1155." Indeed,
1155 equals 11 times 105. Next, determine factors of 105. I see that 5 is a divisor of both 10 and 5, so that 105 equals 5 times 21.

Adding together these three integers: 11+5+21 = 37

But wait! 21 can be factored (e. g., into 7 times 3).

You'll need to identify all of the several sets of 3 positive integers each and find the sum of each set. Only after you've done this can you choose the set whose sum of the three integers is the smallest. Please show your work, so that others can give you feedback on it.

Alicia draws a diagram to represent two forces, F1 and F2, acting on a body. The angle between the directions of the forces is 50° as shown in the diagram. Alicia notices that she can use the Law of Cosines to find the magnitude of the resultant force R in the diagram. What is the value of R?

Answers

Refer to the diagram shown below.

When the two forces F₁ and F₂ are added vectorially, the resultant force is R.
The angle x = 180° - 50° = 130°.

From the Law of Cosines, obtain
R² = F₁² + F₂² - 2F₁F₂ cos(130°)
Note that 2 cos(130°) = -1.2856.

Answer:
R = √(F₁²+ F₂² + 1.2856 F₁F₂ )

C. 70.7 is my best guess.

A bag contains 33 red apples and 66 yellow apples. 22 apples are selected at random. find the probability of selecting 11 red applenothing and 11 yellow applenothing.

Answers

The chances for a red apple is 16.5% and for yellow it's 33%

The probability that pete will catch fish when he goes fishing is .8. pete is going to fish 3 days next week. define the random variable x to be the number of days pete catches fish. the probability that pete will catch fish on exactly one day is

Answers

Final answer:

The random variable X is defined as the number of days Pete catches fish. The probability that Pete will catch fish on exactly one day is 0.096.

Explanation:

The random variable X is defined as the number of days Pete catches fish when he goes fishing.

To find the probability that Pete will catch fish on exactly one day, we can use the binomial probability formula. The formula is:

P(x) = (n C x) * p^x * (1-p)^(n-x)

where n is the number of trials (in this case, 3 days), x is the number of successes (in this case, 1 day), and p is the probability of success (in this case, 0.8).

Plugging in the values, we get:

P(x = 1) = (3 C 1) * 0.8^1 * (1-0.8)^(3-1) = 3 * 0.8 * 0.2^2 = 0.096

What is 3 tenths + 1 hundredths as a decimal

Answers

3 tenths = 0.3
1 hundredth = 0.01
0.31 is the answer

.31 is the answer :)))

If we put five math, six biology, eight history, and three literature books on a bookshelf at random, what is the probability that all the math books are together?

Answers

To solve you, find the probability of five items being in consecutive order of a sample size of (5+6+8+3). 5 out of 22 items must be in a contiguous group in any order among the 22 total items.

Final answer:

The probability that all the math books are together can be calculated by considering the number of ways the math books can be arranged together and dividing it by the total number of ways all the books can be arranged.

Explanation:

First, calculate the total number of ways the books can be arranged on the bookshelf. Since there are 22 books in total, the number of arrangements is 22!.

Next, calculate the number of ways the math books can be arranged together. Since there are 5 math books, the number of arrangements is 5!.

Finally, divide the number of arrangements of the math books by the total number of arrangements to find the probability. So the probability is 5! / 22!.

Allens score in a video game was changed by -75 points because he missed some targets. He got -15 points for each missed target. How how many targets did he miss?

Answers

Allen missed 5 targets.

I have this same problem too and I just finished it! :)

The answer is that she missed 5 targets

Hope this helps

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