We will create the equations for this scenario:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
Find z: Monthly administration fee is represented by z, which is the question of this problem.
The amounts of kilowatt hours consumed are 1100 and 1500 respectively.
The cost for each kilowatt hour is denoted by y, although its value is not required for this math problem, we can compute it regardless.
This results in a system of two equations with two unknowns, which can be solved using the substitution method:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
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(1) z = 113 - 1100*y [substituting z (right side) into equation (2) instead of z]:
(2) 1500*y + (113 - 1100*y) = 153
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(1) z = 113 - 1100*y
(2) 1500*y + 113 - 1100*y = 153
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(1) z = 113 - 1100*y
(2) 400*y + 113 = 153
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(1) z = 113 - 1100*y
(2) 400*y = 153 - 113
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(1) z = 113 - 1100*y
(2) 400*y = 40
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(1) z = 113 - 1100*y
(2) y = 40/400
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(1) z = 113 - 1100*y
(2) y = 1/10
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by placing the calculated value of y back into equation (1), we can find z:
(1) z = 113 - 1100*(1/10)
(1) z = 113 - 110
(1) z = 3 dollars serves as the monthly fee.
Answer:
Step-by-step explanation:
The initial scenario is a specific case of the subsequent one, so we will address the second case first.
Consider 
. Through the utilization of derivatives and trigonometric function properties, it is determined that
The equation is represented as 
. It's important to note that since 
it leads to the equation
,
which signifies that 
. Consequently, 
It's notable that in this instance, the value of k is independent of A and B. Thus, it applies universally to any values of A and B. The first scenario is included since it corresponds to A=0 and B=1.
<span>Skewness serves as a descriptive statistic in the analysis of data distribution. In the realm of finance and investing, skewness is considered alongside other statistics such as kurtosis and value at risk (VAR). When assessing investment returns, skewness reflects the asymmetry present in these returns. Normally distributed data sets will have a skewness of zero, whereas investment returns frequently deviate from a normal distribution.
In graphs showcasing investment returns displaying positive skewness, this indicates that: mean > median > mode. Conversely, a negative skewness reveals the relationship: mean < median < mode.
Evaluating skewness is crucial in reviewing investment returns, as it signals potential risks based on historical return patterns. Despite a negative skew indicating a high occurrence of smaller gains, it can also alert to the chance, albeit remote, of an extremely adverse outcome.</span>
