Help and explain plzzz
2 answers:
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Answer:
length of rectangle = 5
width of rectangle = 5
Area of rectangle = 25
Step-by-step explanation:
Since the length of the rectangle is "x", and the value of the area is given by the product of the length "x" times the width "10-x", indeed, the area "y" of the rectangle is given by the equation:
Now, they tell us that the area of the rectangle is such that coincides with the maximum (vertex) of the parabola this quadratic expression represents. So in order to find the dimensions of the rectangle and therefore its area, we find the x-coordinate for the vertex, and from it, the y-coordinate of the vertex, which is the rectangle's actual area.
Recall that the formula for the x of the vertex of a quadratic of the form :
is given by the formula:
which in our case gives:
Therefore, the length of the rectangle is 5, and its width (10-x) is also 5.
The area of the rectangle is therefore the product of these two values: 5 * 5 = 25
Which should coincide with the value we obtain when we replace x by 5 in the area formula:
Answer:
$126
Step-by-step explanation:
Given that:
Investment is done as per Simple interest.
Principal = $3000
Time for which the investment is to done = 7 years
Rate of interest = 6%
To find:
Interest earned when the investment matures?
Solution:
Formula for Simple Interest :
Where is the principal amount
is the Rate of Interest
is the time for which the investment is made
Putting the given values:
Therefore, the answer is:
Interest earned is <em>$126</em>.