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]
3 years ago
9

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

Mathematics
1 answer:
KonstantinChe [14]3 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
80% of x is 40. What is the value of x?<br><br> Please help hurry!!
butalik [34]

Answer:

The answer would be 50

Step-by-step explanation:

5 0
3 years ago
Partcial products 73÷584
Crank
Seventy-three divided by five-hundred-eighty-four equals 0.125
4 0
4 years ago
Ella swims four times a week at her club's pool. She swims the same number of laps on Monday, Wednesday, and Friday, and 15 laps
Alexeev081 [22]
So assuming she swims the same on Monday, Wednesday, and Friday, as well as 15 on saturday, We can essentially set up an equation.

(51-15)/3

(36)/3

She swims 12 laps On Monday.
3 0
3 years ago
Read 2 more answers
Could someone help this question? I need help please and thank you​
Vanyuwa [196]

Answer:

second one

Step-by-step explanation:

-6 + 30 = 24

5 0
3 years ago
Can someone please help me solve this?
evablogger [386]

Answer:

x=15

Step-by-step explanation:

side PQ =side QR

8x-27=4x+33

8x-4x=33+27

4x=60

x=60/4

x=15

3 0
3 years ago
Other questions:
  • Which could be the area of a face of the rectangular prism? A rectangular prism with a length of 3 meters, width of 4 meters, an
    10·1 answer
  • Calculate the average rate of change of f(x) over the interval [-4, -1] using the formula [ BLANK ] The value of f(-1) is [BLANK
    9·1 answer
  • Please help, I'm really confused with these two questions ):
    6·1 answer
  • Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. M
    6·1 answer
  • Annie goes shopping for vacation She buys 5 beach towels and 3 bathing suits and she spent $56. If the items are all the same pr
    10·1 answer
  • Complete the steps for solving 7 = -2x2+10x
    9·2 answers
  • Pls help me 20 points
    9·1 answer
  • 3. Which equation correctly shows the relationship between the numbers <br> 2,560 and 256?
    14·2 answers
  • Simplify four over seven divided by five over eight.
    7·1 answer
  • Patrick, Hall, Belvedere, and Shaq collect posters. Patrick has 60
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!