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nicolescaggs
13.02.2022 •
Mathematics
△A
′
B
′
C
′
triangle, A, prime, B, prime, C, prime is the image of \triangle ABC△ABCtriangle, A, B, C under a rotation about the origin, (0,0)(0,0)left parenthesis, 0, comma, 0, right parenthesis.
Determine the angles of rotation.
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Ответ:
The original amount invested in bond is $5,400.
Step-by-step explanation:
Given:
Interest on stocks = 6%, or 0.06
Interest on stocks = 8%, or 0.08
Let A represents the original amount invested in stocks and B represents the original amount invested in bonds. We can therefore have original income as follows:
0.06A + 0.08B = $684 (1)
Sine Malenie's income would decrease by $24 if the investments were interchanged, this implies that we will have:
0.08A + 0.06B = $684 - $24
0.08A + 0.06B = $660 (2)
From equation (2), we can solve for A as follows:
0.08A = $660 - 0.06B
Divide through by 0.08, we have:
A = $660/0.08 – (0.06/0.08)B
A = $8,250 – 0.75B
Substituting A = $8,250 – 0.75B into equation (1) and solve for B, we have:
0.06($8,250 – 0.75B) + 0.08B = $684
$495 – 0.045B + 0.08B = $684
Rearranging, we have:
– 0.045B + 0.08B = $684 - $495
0.035B = $189
B = $189 / 0.034
B = $5,400
Therefore, the original amount invested in bond is $5,400.