Answer:
<h3>The option B) is correct</h3><h3>Therefore the coordinate of B
is (6,-3)</h3>
Step-by-step explanation:
Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).
<h3>To Find the coordinates of point B:</h3>
- Let the coordinate of A be
is (2,7) respectively - Let the coordinate of B be
- And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
- The mid-point formula is
<h3>
</h3>
- Now substitute the coordinates int he above formula we get
- Now equating we get
Multiply by 2 we get Multiply by 2 we get
Subtracting 2 on both
the sides Subtracting 7 on both the sides
Rewritting the above equation Rewritting the equation
<h3>Therefore the coordinate of B
is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>
(a) Net present value of machine
Pm=-C+V/(1+i)^n=37000-1000/1.08^4
=-36264.97
=-36265 (rounded to nearest dollar)
Cost of machine amortized over 4 years (annualized cost)
Ac=Pm(A/P,i,n)=-36264.97(A/P,0.08,4)=-36264.97(.08*(1.08^4)/(1.08^4-1)
=-10949.15
Expected year-end cash flow = annualized return - annualized cost =>
12000=return - 10949.15
(b) Internal rate of return of machine
=return/cost - 1
=(12000-(-10949.15)/10949.15-1
=2.096-1
=1.096
=109.6%
Answer:
GCF: 1
Factor: 1/3*(x-3)(x+4)
Step-by-step explanation:
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Answer:
2496 cubic feet
Step-by-step explanation:
Dimension of storage unit 13 ft x 16 ft x 12 ft.
Since there are three sides it can be safely assumed that storage unit is rectangular in shape.
Volume of rectangular body is given by length * width * height
Using the above formula in the given dimension we have
volume of storage unit = length of storage unit * width of storage unit * height of storage unit
volume of storage unit = 13 ft * 16 ft * 12 ft = 2,496 cubic feet
