How to solve for y 6x+3y=9 and 3x+2y=9
1 answer:
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Answer:
Step-by-step explanation:
From the figure attached,
Point B has been dilated to form point B'.
B(3, 1) → B'(6, 2)
→ B'[(2 × 3), (2 × 1)]
Since rule for the dilation of a point (x, y) by a factor of k is,
B(x, y) → B'(kx, ky)
By comparing the coordinates k = 2 is the scale factor by which the point B has been dilated about the origin.
Therefore, other vertices of the quadrilateral will be,
A(-2, 3) → A'(-4, 6)
C(1, -1) → C'(2, -2)
D(-3, -2) → D'(-6, -4)
Answer:
The loaned amount at 11 % is $ 19,000
The loaned amount at 10 % is $ 2,500
Step-by-step explanation:
Given as :
The total loan amount = $21,500
The total interest earn = $2,340.00
The rate of interest are 11 % and 10 %
Let The loan amount at 11 % rate = $P
and The loan amount at 10 % rate = $21,500 - $P
Let The loan took for 1 year
Now,<u> From Simple Interest method </u>
Simple Interest =
=
Or, =
Similarly
=
∵ +
= $2,340
Or, +
= $2,340
Or, 11 P - 10 P + 215000 = 234000
Or, P = 234000 - 215000
∴ P = $ 19,000
And $21,500 - $ 19,000 = $ 2,500
Hence The loaned amount at 11 % is $ 19,000
And The loaned amount at 10 % is $ 2,500 Answer