Find the slope: (-4, 3) and (8, -3)
2 answers:
You might be interested in
Answer:
C. $118,000 and $110,000, respectively.
Step-by-step explanation:
Please consider the complete question.
An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000, respectively. The power consumption per year of machines A and B are 120 MWh and 100 MWh, respectively. The power cost is $40/MWh. The estimated operating and maintenance cost over 10 years is $30,000 for machine A and $20,000 for machine B.
First of all, we will find the amount spent on power consumption for 10 years by each machine as:
Now, we will find overall cost of machines A and B by adding initial cost, power consumption for 10 years and maintenance cost as:
Therefore, the overall cost of machines A and B are $118,000 and $110,000, respectively and option C is the correct choice.
Answer:
S'(x)=-0.006x2+0.8x+9
Step-by-step explanation:
The rate of change of the sales S(x) with respect to the amount of money spent on advertising x is then the derivative of S(x) with respect to x. What we have to calculate is S'(x).
We know that the derivative of is
(where a is a constant), and the derivative of a sum is the sum of the derivatives, so we can calculate the derivative of each term independently:
S'(x)=(−0.002x3 + 0.4x2 + 9x + 500)'=(−0.002)(3)x2 + (0.4)(2)x + 9
Which means:
S'(x)=-0.006x2+0.8x+9