Answer:
<h2>$128847</h2>
Step-by-step explanation:
given Principle at 31250
and rate = 12%
and time 12.5 years
the amount would be given by the equation
![P(1+\frac{rate}{100})^{time}](https://tex.z-dn.net/?f=P%281%2B%5Cfrac%7Brate%7D%7B100%7D%29%5E%7Btime%7D)
plug in values to get
![31250(1+\frac{12}{100})^{12.5}](https://tex.z-dn.net/?f=31250%281%2B%5Cfrac%7B12%7D%7B100%7D%29%5E%7B12.5%7D)
end up with value $128847
Both can be right because if the function goes up, turns and goes down, between x = -2 and x = 2, it can happen that f(-2) = f(2) and then the average rate of change is [f(2) - f(-2)] / [2-(-2)] which is 0/4 = 0.
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Define x:
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Let the shorter piece be x.
Shorter piece = x
Longer piece = 6x
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Construct equation:
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x +6x =35
7x = 35
x =5
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Find the length:
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Shorter length = x = 5 feet
Larger length = 6x = 6(5) = 30 feet
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Answer: The shorter piece is 5 feet.
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Answer: Negative
If the same negative number is multiplied to each side of a true inequality, then the inequality sign flips to make the new inequality true as well
Example:
Take 1 < 5 and multiply both sides by -2 and we get -2 > -10. The "less than" sign flips to "greater than" since -2 < -10 is false. The value of -10 is further to the left of -2 so -10 is smaller in value. The negative basically takes the complete opposite which is why the flip must happen.
This sign flip rule does not happen if you multiply both sides by a positive number.
Answer with explanation:
Given : The computed r -value = 0.45
Sample size : n=18
Degree of freedom : ![df=n-2=18-2=16](https://tex.z-dn.net/?f=df%3Dn-2%3D18-2%3D16)
Now, the critical value for Pearson correlation coefficient for a two-tailed test at a .05 level of significance will be :
( by critical correlation coefficient table)
Since ,
i.e. 0.45>0.468 , then we say that his Pearson correlation coefficient is not significant for a two-tailed test at a .05 level of significance.