Answer:
The rate of change of the distance when x = 9 and y = 12 is .
Step-by-step explanation:
This is an example of a related rate problem. A related rate problem is a problem in which we know one of the rates of change at a given instant and we want to find the other rate at that instant.
We know the rate of change of x-coordinate and y-coordinate:
We want to find the rate of change of the distance when x = 9 and y = 12.
The distance of a point (x, y) and the origin is calculated by:
We need to use the concept of implicit differentiation, we differentiate each side of an equation with two variables by treating one of the variables as a function of the other.
If we apply implicit differentiation in the formula of the distance we get
Substituting the values we know into the above formula
The rate of change of the distance when x = 9 and y = 12 is
The factored form of the related polynomial is (x - 1)(x - 9)
<h3>How to determine the
factored form of the related polynomial?</h3>
In this question, the given parameter is the attached graph
From the graph, we can see that the curve crosses the x-axis at two different points
These points are the zeros of the polynomial function.
From the graph, the points are
x = 1 and x = 9
Set these points to 0
x - 1 = 0 and x - 9 = 0
Multiply the above equations
(x - 1)(x - 9) = 0
Remove the equation
(x - 1)(x - 9)
Hence, the factored form of the related polynomial is (x - 1)(x - 9)
Read more about polynomial at:
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Answer:
<h2>$4,712.</h2>
Step-by-step explanation:
SECA stands for Self Employed Contributions Act. These taxes are computed from the net earnings, which in this case is $38,000.
The basic rate for SECA taxes is 6.2% for employeer and 6.2% for employee. In the case of people who are self employed, the taxes are double, because they are employee and employeer at the same time.
So, Doug have to pay 12.4% taxes, which is equivalent to
Therefore, the SECA deduction for Doug is $4,712.
Based on the information given the gain or loss percent on the whole transaction is 1%.
<h3>Gain or loss percent:
</h3>
First step is to calculate the profit on the whole transaction
Profit=(8%×8,000)-(6%×8,000)
Profit=$640-$480
Profit=$160
Now let calculate the gain or loss percentage on the whole transaction
Gain or loss percentage=160/(8000+8000)×100
Gain or loss percentage=160/16000×100
Gain or loss percentage=1%
Inconclusion the gain or loss percent on the whole transaction is 1%.
Learn more about gain or loss here:brainly.com/question/25278228
Two numbers that multiply to -2 could be
-1 and 2
Or
-2 and 1.
Since -1+2=1, -1 and 2 are the numbers you are looking for.
Hope this helps!