The marginal cost function of a firm is given by MC=300e^0.3x+70 when x is quantity produced. If fixed cost is Tk 5000, find the total cost function and the average cost function of the firm.

Answer:

el primero es 2

el segundo es 4

el trersero es 1

y la última es 2

si multiplicas 2 x 1 y los otros el resultado sería

9

Step-by-step explanation:

this is your answer....

The other zero of the given function is [tex](\frac{11}{3}, 0)[/tex] .

Let us assume f(x) [tex]=ax^{2} +bx+c[/tex], then to find the x-intercepts of this quadratic equation, let y = 0, i.e. [tex]ax^{2} +bx+c=0[/tex]

Given, f(x)= [tex]3x^{2} -5x-22[/tex], whose one zero is (-2,0)

Now, to find the x-intercepts of the given quadratic equation, we have to take y = 0.

∴ [tex]3x^{2} -5x-22=0[/tex]

Now we have to solve this equation to find it's another zero.

[tex]3x^{2} -5x-22=0[/tex]

⇒ [tex]3x^{2} -(11-6)x-22=0[/tex]

⇒ [tex]3x^{2} -11x+6x-22=0[/tex]

⇒ [tex]x(3x-11)+2(3x-11)=0[/tex]

⇒ [tex](3x-11)(x+2)=0[/tex]

We know that, if multiplication of two terms is zero, then each of this term is seperately zero.

∴ [tex]3x-11=0[/tex]   or [tex]x+2=0[/tex]

⇒ [tex]3x=11[/tex]    or [tex]x=-2[/tex]

⇒ [tex]x=\frac{11}{3}[/tex]  or [tex]x=-2[/tex]

So, another zero of the function is [tex](\frac{11}{3}, 0)[/tex].

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Answer: The answer is 15 gallons. Hope this helped!

Step-by-step explanation:

Answer:

5 years.

Step-by-step explanation:

3000x.06=180 interest per year.

900/180 =5 years.

9514 1404 393

Answer:

  (x, y) = (12, -1)

Step-by-step explanation:

I find the simplest solution is often found using a graphing calculator.

  (x, y) = (12, -1)

__

We notice that the coefficients of x are identical, so we can eliminate x by subtracting the first equation from the second.

  (x +3y) -(x -2y) = (9) -(14)

  5y = -5 . . . . simplify

  y = -1 . . . . . divide by 5

  x = 14 +2y = 14 +2(-1) . . . . using the first equation to find x

  x = 12

Answer:

Yes they will profit $22,000

Step-by-step explanation:

First find total money:

100 customers * $600 premium

= $60,000

add deductibles ($1000) because they are paying for the accident:

=$62,000

Then find the subtractions:

"One of the accidents causes damage to property and the other causes injury or death to one person."

based on the 30/40/10 coverage:

-$30,000 for injury or death to One person

-$10,000 for property damage

62,000 - 40,000 = 22,000

Overall profit : $22,000

I think I did that right...

The company will earn the profit of $22,000.

Profit= $22,000.

The amount you pay for covered health care services before your insurance plan starts to pay.

It is given that:

Most popular premium= $600

According to question there is estimation of 100 person

Total money = 100 customers * $600 premium

                    = $60,000

The deductible amount is $1000 because they are paying for the accident.

So, the deductible amount is= $2000

Total deductible amount =$62,000

As one of the accidents causes damage to property and the other causes injury or death to one person.

So, based on 30/40/10 coverage there will be:

So, the profit will be: 62,000 - 40,000

                                 = $22,000

Overall profit : $22,000

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Answer:

the answer is a, d, e

Step-by-step explanation:

the product of 18 and a number is 109.8=

18n=109.8

to find n, you need to divided by 109.8 by 18. You will get 6.1

To check, replace c with 6.1.

18x6.1=109.8

Answer:

ade

Step-by-step explanation:

Answer:

-3/5

Step-by-step explanation:

Not sure.....................

Answer:

The average spent at his store is of $37.60.

The average spent at his competitor's store is of $48.53.

Step-by-step explanation:

Average of a data set:

The mean of a data set is the sum of all values divided by the number of values.

His store:

15 orders.

Prices of: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50

The average is:

[tex]M = \frac{41 + 38 + 19 + 30 + 21 + 53 + 34 + 34 + 37 + 29 + 50 + 43 + 57 + 28 + 50}{15} = 37.6[/tex]

The average spent at his store is of $37.60.

Store of the competitor:

15 orders

Prices of: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69

The average is:

[tex]M = \frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15} = 48.53[/tex]

The average spent at his competitor's store is of $48.53.

Answer:

a) Manager's store: mean = $37.60

Competitor's store: mean = $48.53

b) Manager's store has a mean that is a better representation of the data because the competitor's data has an outlier of $112.

Step-by-step explanation:

used this for my test and it was correct.

Answer:

-5.625 in/hour

Step-by-step explanation:

−2 1/4 * 2 1/2 = -5.625 in/hour

Answer:

Step-by-step explanation:

Answer:

only x=1

Step-by-step explanation:

The probability that a student prefers to do the chore in silence will be 0.52.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

A random sample of students was asked whether they preferred to sweep the floor or to do the dishes, and whether they preferred to hear music or have silence while doing the chore.

The results of the survey are summarized in the table.

                      Sweep              Dishes             Total

Music                36                     60                   96

Silence              42                    62                   104

Total                  78                    122                  200

Then the probability that a student prefers to do the chore in silence will be

P = 104 / 200

P = 0.52

Thus, the correct option is E.

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Answer:

The answer is 14.86. I hope that this helps

The total of numbers smaller than 10,000 that have a sum of their digits equal to 34 is 8.

Firstly, it is important to understand a number of at least 4 digits is required to have 34 by adding its digits. Now, from this principle find the possible numbers:

The total numbers is 8.

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Answer:

is 40/41 because is de answerv

Answer:

5C

6C

7D

8B

Step-by-step explanation:

5) C because median is the middle of the set of numbers source A median is 4 source B median is 6 and 4 is 2 less than 6.

6) C  because there are  6 numbers altogether and 1 6s on a dice so 6+6 because we have two dice and 2 6s on both so 2/12 or simplified 1/6

7) D because mean is all the numbers add up divided by the amount of numbers so 20+25+30+20+30 = 125 and 125 ÷ 5 = 25

8 B because mean is all the numbers add up divided by the amount of numbers so

5+6+7+8+8+8+8+8+8+9+9 = 76 ÷ by 10 is 7.6

7+7+7+7+8+8+8+8+10+10 = 80 ÷ by 10 = 8

8 + 7.6 = 15.6 ÷ 2 = 7.8 and B is closest to 7.8

H(6) =.

The number in parentheses is the x value it will be equal to the y value.

When x = 6 the blue line is at y = 8

H(6) = 8

Answer:

[tex]18 \times 14 = {(6x)}^{2} \\ {x}^{2} = \frac{18 \times 14}{36} = 7 \\ x = \sqrt{7} [/tex]

Answer:

2 5/8 - 6 1/4 + 8 1/2\

= 227 /8

Step-by-step explanation:

hope this helps :)

Answer:

b ~ 11.5

Step-by-step explanation:

The given figure is a right triangle or a triangle that contains a right angle. The right angle is indicated by the box around one of the angles of the triangle. This means that one can use the Pythagorean theorem to find the missing side lengths. The Pythagorean states the following,

[tex]a^2+b^2=c^2[/tex]

Where the value (a) and (b) represents the legs or the sides adjacent to the right angle of the trinalge. The side (c) represents the hypotenuse or the side opposite the right angle of the right triangle.

Substitute in the given values and solve for the unknown,

[tex](8)^2 +(b)^2=(14)^2\\[/tex]

Simplify,

[tex]64+b^2=196[/tex]

Inverse operations,

[tex]64+b^2=196\\-64\\\\b^2=132\\\sqrt{}\\\\b=2\sqrt{33}[/tex]

b ~ 11.5

Answer:

False

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The orientation of the triangle is reversed, so a reflection is required. Horizontal lines remain horizontal, but up/down are reversed, so the reflection is across a horizontal line. The horizontal line that is halfway between each point and its image is the line y = 2.5.

The x-coordinates of the image points are 1 less than the x-coordinates of the original, so a left shift of 1 unit is involved.

The two transformations to get from A to B could be (in any order) ...

__

The transformation can be summarized by ...

  (x, y) ⇒ (x -1, 5 -y)

Answer:

40 rabbits

Step-by-step explanation:

...

Answer:

Step-by-step explanation:

In the first part, we are given the function:

[tex]\int \dfrac{x^6}{\sqrt{1+x}^2} \ dx[/tex]

Suppose we make x = tan θ

Then dx = sec² θ.dθ

[tex]= \int \dfrac{tan^6 (\theta)}{\sqrt{1+ tan ^2 \theta }}* dx[/tex]

[tex]= \int \dfrac{tan^6 (\theta)}{\sqrt{1+ tan ^2 \theta }}* sec ^2 (\theta) * d\theta[/tex]

Since; sec² θ - tan² θ = 1

sec² θ = 1+ tan² θ

[tex]sec \ \theta = \sqrt{1 + tan^2 \ \theta}[/tex]

∴

[tex]= \int \dfrac{tan^6 (\theta)}{sec \ \theta}* sec ^2 (\theta) * d\theta[/tex]

[tex]= \int tan^6 (\theta)* sec (\theta) * d\theta[/tex]

Thus; In the first part, Use x = tan θ, where  [tex]- \dfrac{\pi}{2} < \theta <\dfrac{\pi}{2}[/tex], since the integrand comprise the expression [tex]\sqrt{1+x^2}[/tex]

From the second part by using substitution method;

[tex]\int \dfrac{x^6}{\sqrt{1+x^2}} \ dx = \int \mathbf{tan^6(\theta) * sec ( \theta) } \ d \theta[/tex]

Step-by-step explanation:

the true statement is:

every term in pattern B is 2 times the corresponding term in pattern A

Answer:

Step-by-step explanation:

Pattern A

Pattern B

Statements:

Every term in Pattern B is 10 more than the corresponding term in Pattern A.

Every term in Pattern B is 2 times the corresponding term in Pattern A.

Every term in Pattern B is 12 the corresponding term in Pattern A.

Every term in Pattern B is 10 times the corresponding term in Pattern A.