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
aliya0001 [1]
3 years ago
13

The number N of cars produced at a certain factory in 1 day after t hours of operation is given by Upper N (t )equals 800 t minu

s 5 t squared commaN(t)=800t−5t2, 0 less than or equals t less than or equals 10.0≤t≤10. If the cost C​ (in dollars) of producing N cars is Upper C (Upper N )equals 30 comma 000 plus 8000 Upper N commaC(N)=30,000+8000N, find the cost C as a function of the time of operation of the factory. What is the cost C as a function of the time t of operation of the​ factory?
Mathematics
1 answer:
Elden [556K]3 years ago
5 0

Answer:

The cost C as a function of t is C(t) = 30,000 + 6,400,000 t - 40,000 t²

Step-by-step explanation:

The function N(t) = 800 t -  5t², represents the number of cars produced at a time t hours in a day, where 0 ≤ t ≤ 10

The function C(N) = 30,000 + 8,000 N, represents the cost C​ (in dollars) of producing N cars

We need to find The cost C as a function of the time t

That means Substitute N in C by its function by other word find the composite function (C о N)(t)

∵ C(N) = 30,000 + 8,000 N

∵ N(t) = 800 t - 5 t²

- Substitute N in C by 800 t - 5 t²

∴ C(N(t)) = 30,000 + 8000(800 t - 5 t²)

- Multiply the bracket by 8000

∴ C(N(t)) = 30,000 + 8000(800 t) - 8000(5 t²)

∴ C(N(t)) = 30,000 + 6,400,000 t - 40,000 t²

- C(N(t) = C(t)

∴ C(t) = 30,000 + 6,400,000 t - 40,000 t²

The cost C as a function of t is C(t) = 30,000 + 6,400,000 t - 40,000 t²

You might be interested in
A nested decision structure can be used to test more than one condition. question 13 options:
enot [183]
The answer for this question is A. True.

I hope that this helped!
7 0
3 years ago
Complete the sentence to make it a true statement. 60 is 1/100 of
Over [174]

Answer:

6000

Step-by-step explanation:

If it is one hundredth than multiply by 100 to get 6000

3 0
3 years ago
Please help much appreciated ​
Sloan [31]

Answer:

The answer is b sorry if its wrong

Step-by-step explanation:

I want to try to get brainliest so please if u want mark me brainlest. please

7 0
2 years ago
La adición de dos números es -17. Calcula el Numero Menor, si el mayor es -8
nasty-shy [4]
<h2> <em><u>Podría ser -9</u></em></h2>

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What percent of 45 is 135? Explain your reasoning.
MrRissso [65]
The question is equal to: 135 / 45

Divide:

135 / 45 = 3

3 = 300%

Answer = 300% (I think)

~Hope this helped~


6 0
3 years ago
Read 2 more answers
Other questions:
  • 4.50 +0.50R = 10<br> Inequalities
    5·2 answers
  • Which expression is equivalent to 2.2 - 0.5(0.6x - 1.8) ?
    14·1 answer
  • Richard ran 13.7 km in the morning. After lunch, he continued running. When he finished the run, he
    9·1 answer
  • An ethanol plant added a new tank that holds 350 barrels of ethanol gasoline more than its old tank. Together, they hold 3,650 b
    14·1 answer
  • Can someone help me with this math homework please!
    10·1 answer
  • Which graph shows a polynomial function of an even degree?
    15·1 answer
  • Paleomagnetic studies of Canadian volcanic rock known as the Carmacks Group have recently been completed. The studies revealed t
    6·1 answer
  • Find 12.5 as a percentage of 62.5<br> pls answer me this question
    15·2 answers
  • What is the area of the following figure?
    14·2 answers
  • Which one is steeper?<br> y=3x+7 <br> y=1/2x+9
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!