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
aivan3 [116]
2 years ago
7

Find the rate of change of total​ revenue, cost, and profit with respect to time. Assume that​ R(x) and​ C(x) are in dollars. ​R

(x)equals2 x​, ​C(x)equals0.01 x squared plus 0.3 x plus 30​, when xequals30 and StartFraction dx Over dt EndFraction equals9 units per day
Mathematics
1 answer:
tresset_1 [31]2 years ago
4 0

Answer:

Step-by-step explanation:

Given the Total revenue R(x) = 2x

Cost C(x) = 0.01x²+0.3x+30 where;

x = 30 and dx/dt = 9units per day.

Rate of change of revenue dR/dt = dR/dx • dx/dt

dR/dt = 2dx/dt

dR/dt = 2(9) = $18

Rate of change of revenue with respect to time is 18dollars/day.

Rate of change of cost dC/dt = dC/dx • dx/dt

dC/dt = (0.02x+0.3)dx/dt

dC/dt at x = 30 and dx/dt = 9 will give;

dC/dt = {0.02(30)+0.3}×9

dC/dt = (0.6+0.3) × 9

dC/dt = 0.9×9

dC/dt = $8.1

Rate of change of cost with respect to time is 8.1dollars/day

Profit = Revenue - Cost

Profit = 18-8.1

Daily Profit = $9.9

You might be interested in
F(x) = 6x + 7; x = -3
jok3333 [9.3K]

Answer:

1+80×70-80+55-6+12065

8 0
2 years ago
Read 2 more answers
Sharon manages the Spirit Supply store at Lakefield Middle School. She tracks the sale of various items in her inventory so that
Airida [17]
Here is a graph. I hope it helped :)

7 0
3 years ago
Solving proportions
Archy [21]
If you crossed multiplied than got an equation than x=6 ( if that's what your looking for)
4 0
3 years ago
Please help again, best answer = brainliest
tangare [24]
I think the answer would be B :)
4 0
3 years ago
A positive integer from one to six is to be chosen by casting a die. Thus the elements c of the sample space C are 1, 2, 3, 4, 5
Alex_Xolod [135]

Answer with Step-by-step explanation:

We are given that six integers 1,2,3,4,5 and 6.

We are given that sample space

C={1,2,3,4,5,6}

Probability of each element=\frac{1}{6}

We have to find that P(C_1),P(C_2),P(C_1\cap C_2) \;and\; P(C_1\cup C_2)

Total number of elements=6

C_1={1,2,3,4}

Number of elements in C_1=4

P(E)=\frac{number\;of\;favorable \;cases}{Total;number \;of\;cases}

Using the formula

P(C_1)=\frac{4}{6}=\frac{2}{3}

C_2={3,4,5,6}

Number of elements in C_2=4

P(C_2)=\frac{4}{6}=\frac{2}{3}

C_1\cap C_2={3,4}

Number of elements in (C_1\cap C_2)=2

P(C_1\cap C_2)=\frac{2}{6}=\frac{1}{3}

C_1\cup C_2={1,2,3,4,5,6}

P(C_1\cup C_2)=\frac{6}{6}=1

4 0
3 years ago
Other questions:
  • A wedding ring costs £13000. Work out the price after a 11% increase
    7·2 answers
  • Linda spent 3/4 of her saving on furniture and the rest on a tv.If the tv cost her $200,what were her original savings .
    12·1 answer
  • A customer buys 15.5 cheese pizzas which are $10.50 each. What is the total? Round it to the nearest hundredth.
    11·1 answer
  • A circle has a diameter of 14.5cm
    5·1 answer
  • Identify the center and radius of a circle with equation (x+4)^2+(y-2)^2=36
    15·1 answer
  • If Aniyah can run 6.5 miles per hour, and she runs for 15 minutes, how far did she go?
    8·1 answer
  • What is the 4th term of the linear sequence below?<br> -9,-5, -1,3,7,...
    6·1 answer
  • Please answer Question 1. 20 points and 5-star rate.
    8·1 answer
  • Ill mark brainlist plss help
    10·2 answers
  • Somebody please help me:(
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!