An executive invests $22,000 some at 7% ad some at 6% annual interest. If he receives an annual return of $1,420, how much is in
1 answer:
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<em>Note: Since you missed to add the figure. So, after a little research I am kind of able to find the figure and hence, assuming it as a reference. Hence, I am attaching the figure and solution of that figure is also visible in the same figure.</em> Please check the attached figure (a)
Answer:
Segment B'D' will be parallel to segment BD and will be shorter than segment BD. Please see the attached figure (a) for better understanding.
Step-by-step explanation:
As we know that there are certain rules when a quadrilateral is dilated by a certain scale centered around a certain point.
So,
Let suppose P(a, b) is the point.
The dilation rule by a scale factor of 1 over 3 or (1/3) centered around (1, 2) is
P(a, b) →
Hence,
A(1, 2) → A'(1, 2)
B(2, 3) → B'(4/3, 7/3)
C(4, 2) → C'(2, 2)
D(2, 1) → D'(4/3, 5/3)
The attached figure show that if we draw the all these points in the coordinate plan i.e. A(1, 2), B(2, 3), C(4, 2), D(2, 1) and A'(1, 2), B'(4/3, 7/3), C'(2, 2), D'(4/3, 5/3), we can determine that Segment B'D' will be parallel to segment BD and will be shorter than segment BD.
<em>Keywords: dilation, quadrilateral, segment</em>
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Answer:
Step-by-step explanation:
To write a quadratic equation into binomial form we can compare the equation into the completing square form of a quadratic equation like this ,
now since,
we can equate both the equations from left hand side to right hand side like this,
now we solve,
now we compare the coefficients of x^2:
now we compare the coefficients of x :
now we compare the constants , (constants are the letters which are not associated with any variable in this case the variable is x)
so now the value we got all the values for the completing square form we plug those in , a = 1 , h = -12 , k = 0 ,
this is the square of a binomial, if you want to verify if we expands this formula by the formula of (a + b)^2 we would get the same result. Thus this is the correct answer.