Answer:
Step-by-step explanation:
The relation between the variables is given by
This is a separable differential equation. Rearranging terms:
Multiplying by -1
Integrating
Where D is a constant. Applying expoentials
Where , another constant
Solving for P
With the initial condition P=0 when t=0
We get C=-M. The final expression for P is
Keywords: performance , learning , skill , training , differential equation
Answer:
7,000 days
Step-by-step explanation:
63,000 ÷ 9 = 7,000
So copy the url of that into another tab and then go to the question, go back to the original guess all and final check it it will show the correct answer. Now take that answer and put it in the copy rang you made and vuala
Answer:
- $2300000- max profit
- 5.77 years into operation - zero profit time
Step-by-step explanation:
<u>Given function:</u>
It is a quadratic function with general form of y = ax^2 + bx + c
It opens down if a < 0 and gets maximum value at vertex which is determined at x = -b/2a
<u>For the given function vertex is:</u>
<u>Maximum value of p is:</u>
- p(3) = -3*3^2 + 18*3 - 4 = -27 + 54 - 4 = 23 ($2300000)
<u>The time when profit is zero:</u>
- -3t^2 + 18t - 4 = 0
- 3t^2 - 18t + 4 = 0
- t = (18 ± √18² - 4*3*4)/2*3 = (18 ± √276)/6 = (18 ± 16.61)/6
- t = (18 - 16.61)/6 = 0.23 this is the time when company has just started to make profit, it is not applicable as is the past time
- t = (18 + 16.61)/6 = 5.77 years into operation, after this time there will be no profit