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
sleet_krkn [62]
2 years ago
9

A company introduces a new product for which the number of units sold S is

Mathematics
1 answer:
KonstantinChe [14]2 years ago
6 0
(a) The "average value" of a function over an interval [a,b] is defined to be 

(1/(b-a)) times the integral of f from the limits x= a to x = b. 

Now S = 200(5 - 9/(2+t)) 

The average value of S during the first year (from t = 0 months to t = 12 months) is then: 

(1/12) times the integral of 200(5 - 9/(2+t)) from t = 0 to t = 12 

or 200/12 times the integral of (5 - 9/(2+t)) from t= 0 to t = 12 

This equals 200/12 * (5t -9ln(2+t)) 

Evaluating this with the limits t= 0 to t = 12 gives: 

708.113 units., which is the average value of S(t) during the first year. 


(b). We need to find S'(t), and then equate this with the average value. 

Now S'(t) = 1800/(t+2)^2 

So you're left with solving 1800/(t+2)^2 = 708.113 

<span>I'll leave that to you</span>
You might be interested in
Move numbers to the blanks to show a meaning of 5×2 = 10
MrRissso [65]

Answer:

The expression 5 × 2 = 10 means:

  • 10 is 5 times as many as 2.

Step-by-step explanation:

Given the expression

  • 5 × 2 = 10

From the expression, it is clear that we can determine that when we multiply 2 by 5 to get 10.

In other words, we can determine the value 10 by:

  • 2+2+2+2+2 = 10

It means 10 is 5 times as many as 2.

Therefore, the expression 5 × 2 = 10 means:

  • 10 is 5 times as many as 2.
6 0
2 years ago
The inverse of the function graphed below is a function.<br><br>A. True<br>B. False
Anuta_ua [19.1K]
False.  In order to have an inverse, your function must pass the horizontal line test.  The graph fails the test.
7 0
3 years ago
Read 2 more answers
The students in Jeremiah's grade voted to select a guest speaker. 45 students voted for a famous athlete. If there are 90 studen
Ghella [55]

Answer:

50%

Step-by-step explanation:

45 is half of 90. A percent is out of 100. So when you split 100 in half, it equals 50. The answer is 50%. Glad I could help!

3 0
2 years ago
Read 2 more answers
What is the volume that can fit exactly 128 cubes with 1/2 inch sides?
aleksandrvk [35]
I think it is 64 cause i  multiplied
8 0
3 years ago
-18-12+(24/-8)-2(-15+10)
tigry1 [53]

Answer:

-17

Step-by-step explanation:

-18-12+(24/-8)-2(-15+10)

-18-12(-3)-2(-5)

-18-9-2(-5)

-27-2(-5)

-27+10

-17

I hope this helps! Please mark as brainliest! :D Good Luck! :)

3 0
3 years ago
Other questions:
  • a plane can fly 7 miles per minute. the plane will fly 8 trips, and each trip is 810 miles. how many hours will the plane fly? s
    9·1 answer
  • A 15 feet tree casts a shadow that is 8 feet long. What is the distance from the tip of the tree to the tip of it's shadow?
    12·2 answers
  • Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.
    12·1 answer
  • Math problem I need help pleaseeee ASAP
    12·1 answer
  • I need help please :))))
    6·2 answers
  • If a cylinder has a volume of 1884 cubic centimeters and a height of six cm, explain how to find the radius of the
    15·1 answer
  • 1. A random sample of 25 of the 400 members of the Bigtime Theater
    15·1 answer
  • A nail salon raises their price for nails from $25 to $30. What is the percent increase?
    6·2 answers
  • I can use problem-solving strategies to add and subtract fractions with unlike denominators.
    15·1 answer
  • Write the standard form of the equation of the circle center (0,4) passes through the point (-2,-4)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!