Hey there!
<span>Here are the steps involved:
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1.Change 65% into a decimal. Move the decimal two places to the left and you get 0.65.
2. Multiply 0.65 by 50.
<span>140 x 0.65 = 91.
3. Since you are decreasing 140 by 65%, subtract 140 by 91.
140-91= 49
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Direction vector of line of intersection of two planes is the cross product of the normal vectors of the planes, namely
p1: x+y+z=2
p2: x+7y+7z=2
and the corresponding normal vectors are: (equiv. to coeff. of the plane)
n1:<1,1,1>
n2:<1,7,7>
The cross product n1 x n2
vl=
i j l
1 1 1
1 7 7
=<7-7, 1-7, 7-1>
=<0,-6,6>
Simplify by reducing length by a factor of 6
vl=<0,-1,1>
By observing the equations of the two planes, we see that (2,0,0) is a point on the intersection, because this points satisfies both plane equations.
Thus the parametric equation of the line is
L: (2,0,0)+t(0,-1,1)
or
L: x=2, y=-t, z=t
Answer:
C. $118,000 and $110,000, respectively.
Step-by-step explanation:
Please consider the complete question.
An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000, respectively. The power consumption per year of machines A and B are 120 MWh and 100 MWh, respectively. The power cost is $40/MWh. The estimated operating and maintenance cost over 10 years is $30,000 for machine A and $20,000 for machine B.
First of all, we will find the amount spent on power consumption for 10 years by each machine as:


Now, we will find overall cost of machines A and B by adding initial cost, power consumption for 10 years and maintenance cost as:




Therefore, the overall cost of machines A and B are $118,000 and $110,000, respectively and option C is the correct choice.
Step-by-step explanation:
This is what it is equal to:
9×3x=27x
9×8=72
Therefore it will be:

hope it helps!