<span>1)Consumption: 875 kWh / month
2) New rate:
- 7.5 cents / kWh for the first 600 kWh
- 13.0 cents / kWh the next 600 kWh
3) Calculation:
600 kWh * 7.5 cents/ kWh + (875 kWh - 600 kWh) * 13.0 cents / kWh.
4500 cents + 3575 cents = 8075 cents = $ 80.75, which rounded to the nearest dolar is $ 81.
Answer: option d. $81.
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Answer:
M = 15
Step-by-step explanation:
To get m alone you need to subtract 4m by both sides
4m - 4m + 30 = 6m -4m
30 = 2m
Now last part is to divide 2 by both sides
30/2 = 2m/2
M = 15
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Answer:
Step-by-step explanation:
Given a function f, whose derivatives are f' and f'', a value x is a critical point if f'(x) =0. A value x is a minimum of f if it is a critical point and f''(x) >0 and it is maximum if f''(x)<0. We will perfom the following steps:
1. Calculate the derivative f'.
2. Solve f'(x) =0.
3. Determine if the x value found in 2 is a minimum or a maximum using f''.
Recall the following properties of derivatives


where c is a constant.

where f,g are differentiable.
where c is a constant.
(chain rule)
Case 1: f(x) = 2+3x+3.
Using the properties from above, we have
1.
2. The equation f'(x)=0 where f'(x) = 3 has no solution.
3. Based on the previous result, f has no maximum nor minimum.
Case 2: 
1. 
2. We have the equation

which is equivalent to

Recall that the cosine function only takes values in the set [-1,1]. So, this equation has no solution.
3. Based on the previous result, f has no maximum nor minimum.