Answer: mean monthly income = $5000
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Explanation
In any normal distribution, the median and mean are the same value.
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The proof is as follows:
If mean > median was the case, then the distribution would be skewed to the right (ie positively skewed). The right tail is pulled longer than the left tail. But this would contradict the symmetrical nature of the normal distribution. So mean > median must not be the case.
If mean < median, then the distribution would be skewed to the left (negatively skewed). Visually this pulls the left tail longer than the right tail. Like in the previous paragraph, this contradicts the symmetrical nature of the normal distribution. So mean < median must not be the case.
Since mean > median cannot be true, and neither can mean < median, this must indicate mean = median.
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So in short, any symmetrical distribution always has mean = median and they are at the very center of the distribution.
Answer:
The correct answer is $83230
Explanation:
Solution
Given that:
The Present worth of geometric series is shown below
= A *[1 - (1+g)^n /(1+i)^n] / (i-g)
Now,
The present cost of worth from EOY 5 to EOY 13 at EOY 4 = 7000 *[1 - (1+0.12)^9 /(1+0.15)^9] / (0.15-0.12)
Thus,
= 7000 *[1 - (1.12)^9 /(1.15)^9] / (0.03)
Which is,
= 7000 * 7.0572647
= 49400.85
Now, The NPW of all costs = 35000 + 7000*(P/A,15%,4) + 49400.85*(P/F,15%,4)
= 35000 + 7000*2.854978 + 49400.85*0.571753
= 83229.93
Therefore the sound improvement better result in a net present worth profit of how much to negate the costs is $83229.93 or 83230
Note: EOY = End of year.
The answer is option B. The main challenge of career planning in changing times is that you need to revise your plans often.
The world we live in is dynamic. New inventions, new technology, new methods of doing things always come up with time.
Because of this, when making a career plan, one must be fully aware that the process is not static. That is, changes would occur and as such, you have to revise your plans often so that it is in line with what is obtainable at the time.
<em>Read more on career planning here: brainly.com/question/6457203?referrer=searchResults</em>
Answer:
0.1046 or 10.46%
Explanation:
The computation of the sustainable growth rate is shown below:
The Sustainable growth rate of the firm is
= Return on Equity × ( 1 - Dividend Payout Ratio )
where,
Dividend Payout Ratio = 30%
And,
Return on equity is
= Net Income ÷ Shareholder 's equity
= $3660 ÷ $ 24,500
= 0.14938
So,
Sustainable growth rate is
= 0.14938 × (1 - 30%)
= 0.1046 or 10.46%
Answer:
the answer is personal income