Answer:
Step-by-step explanation:
1. 2( 2d + 2)
2.w + 12
4x + 2y = 8 (1)
8x + 4y = -4y (2)
A) Two lines are parallel if they have the same gradient
- putting both equations into the gradient- intercept form ( y = mx + c where m is the gradient)
(1) 4x + 2y = 8
2y = 8 - 4x
y = -2x + 4
(2) 8x + 4y = -4y
<span> </span>8x = -4y - 4y
y =

y = -x
<span>
Thus the gradient of the two equations are different and as such the two lines are not parallel</span>
B) When two lines are perpendicular, the product of their gradient is -1

p = (-2) * (-1)
p = 2
<span> ∴
the two lines are not perpendicular either.</span>
Thus these lines are SKEWED LINES
Answer:
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Step-by-step explanation:
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Answer: Geometric average return would be 0.10% and arithmetic average return would be 9.17%.
Step-by-step explanation:
Since we have given that
Returns are as follows:
7%, 25%, 175, -13%, 25% and -6%.
Geometric return is given by
![\sqrt[6]{(1+0.07)(1+0.25)(1+0.17)(1-0.13)(1+0.25)(1-0.06)}-1\\\\=\sqrt[6]{(1.17)(1.25)(1.17)(0.87)(1.25)(0.94)}-1\\\\=0.097\%=0.10\%](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B%281%2B0.07%29%281%2B0.25%29%281%2B0.17%29%281-0.13%29%281%2B0.25%29%281-0.06%29%7D-1%5C%5C%5C%5C%3D%5Csqrt%5B6%5D%7B%281.17%29%281.25%29%281.17%29%280.87%29%281.25%29%280.94%29%7D-1%5C%5C%5C%5C%3D0.097%5C%25%3D0.10%5C%25)
Arithmetic average return would be

Hence, geometric average return would be 0.10% and arithmetic average return would be 9.17%.