First thing to do with this problem is to plot the given data in MS excel. We can see in the graph that the minima (lowest point of the graph) is at (4,-2) and the maxima is at (2,3). The critical points are points which the direction changes from one side to another.
The value of the investment in 5 years is $5805.9
<h3>What is Interest ?</h3>
Interest is the amount earned over years for the amount invested.
It is given that
Principal = $5000
Rate = 3%
Compounded Quarterly
Time = 5 years
Amount = ?
The Amount is given by the formula
Amount = P( 1 + (r/n))ⁿˣ
Here n = t = time period for which the investment has been done.
Amount = 5000( 1+(3/4 * 100)⁴ˣ⁵
Amount = 5000 (1.16)
Amount = $ 5805.9
Therefore , The value of the investment in 5 years is $5805.9
To know more about Interest
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For these questions to be true and the equation of the tangent to have an equal y to the equation of the parabola i guess there has to be a "c" and in that case integrate the equation of the tangent you will have a = 5 and b = -18 then you substitute in the equation of the parabola with the point you have you will find that "c" = 21 and so the equation of the parabola becomes y = 5x^2 - 18 x +21
Yea because every input has only one output
