1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Wewaii [24]
3 years ago
9

A company produces x units of a product per month, where c(x) represents the total cost and r(x) represents the total revenue fo

r the month. The functions are modeled by c(x)=300x+250 and r(x)=-0.5x^2+800x-100.
The profit is the difference between revenue and cost where p(x)=R(x)-C(x).
What is the total profit p(x), for the month?
Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:

The total profit P(x) or the month is P(x)=-0.5x^2+500x-350.

Step-by-step explanation:

A company produces x units of a product per month.

The total cost represents by the function C(x).

C(x)=300x+250

The total revenue represents by the function R(x).

R(x)=-0.5x^2+800x-100

The profit is the difference between revenue and cost.

P(x)=R(x)-C(x)

P(x)=-0.5x^2+800x-100-(300x+250)

P(x)=-0.5x^2+800x-100-300x-250

Combine like terms.

P(x)=-0.5x^2+(800x-300x)+(-100-250)

P(x)=-0.5x^2+500x-350

Therefore, the total profit P(x) or the month is P(x)=-0.5x^2+500x-350.

You might be interested in
Write a polynomial of least degree with roots - 9 and - 2. Write your answer using the variable x and in standard form with a le
ohaa [14]
Ok I will but I don’t know
4 0
3 years ago
Two integers have a sum of -44 and a difference of 22. The greater of the two integers is
Leni [432]

Answer:

  -11

Step-by-step explanation:

The generic solution to ...

  • a + b = sum
  • a - b = difference

Can be found by adding the two equations:

  (a+b) + (a-b) = (sum) + (difference)

  2a = (sum + difference)

  a = (sum + difference)/2

___

Our particular solution is ...

  a = (-44 +22)/2 = -11

The greater of the two numbers is -11.

___

The other number is -33.

5 0
3 years ago
3. A kite is aloft at the end of a 1500 foot string. The string make an angle of 43° with the
sineoko [7]

Answer:

h= 1500\,*\,sin(43^o)

Step-by-step explanation:

Notice that there is a right angle triangle formed with sides as follows:

hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:

sin(43^o) = \frac{opposite}{hypotenuse} \\sin(43^o) = \frac{opposite}{1500}\\opposite = 1500\,*\,sin(43^o)\\h= 1500\,*\,sin(43^o)

8 0
3 years ago
a book store contains 75,972 books, divided in three sections: science, business, and math. thr science section represents 1/3 o
Pachacha [2.7K]

Given that total number of books in the book store = 75972

Given that total number of books in science section =\frac{1}{3} rd of total books =\frac{1}{3}*75972 = 25324

Then remaining number of books = 75972 - 25324 = 50648


Given that 75% of the remaining books are in business section = 75% of 50648 = 0.75*50648 = 37986

Then number of books in the math section = 50648 - 37986 =  12662


Hence final answer is 12662 books in the math section.

4 0
3 years ago
Read 2 more answers
What is the value of x in log2 (x)-3=1?
Gre4nikov [31]
X=4/log(2) Hope this helps!
4 0
3 years ago
Read 2 more answers
Other questions:
  • Tom caught a fish that weighed 2/3 pound. Kira caught a fish that weighed 7/8 pound. Whose fish weighed more?
    8·1 answer
  • The population can be modeled by P(t) = 82.5 − 67.5cos⎡ ⎣(π/6)t ⎤ ⎦, where t is time in months (t = 0 represents January 1) and
    15·1 answer
  • Estimate the domain
    10·2 answers
  • What is the the minimal education or degree i need to be a computer engineer?
    12·1 answer
  • Can someone help with this
    12·1 answer
  • Does anyone understand this
    13·1 answer
  • It has been reported that men are more likely than women to participate in online auctions. In a recent survey, 65% of repondent
    13·1 answer
  • OMG PLEASE HELP IF I DONT PASS THIS I FAIL MY CLASS! HELP! 30 POINTS SHOW WORK IF U NEED TO PLEASE! thank you too anyone(PRETTY
    11·1 answer
  • Claire is baking items for a school bake sale. She needs 2 cups of flour for cookies, and 1 cups of flour for banana bread. How
    6·1 answer
  • This week, Ty works 6 hours pulling weeds, 4 hours raking leaves, and 9 hours
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!