Answer: The diagonals of a parallelogram bisect each other. Steps (a), (b), and (c) outline proof of this theorem. (See Exercise 25 for a particular instance of this theorem.) (a) In the parallelogram OA BC shown in the figure, check that the coordinates of must be (b) Use the midpoint formula to calculate the midpoints of diagonals and (c) The two answers in part (b) are identical. This shows that the two diagonals do indeed bisect each other, as we wished to prove. (FIGURE CAN'T COPY)
The NPV of this investment if the discount rate is 10 percent is: 1.58%.
<h3>Net present value (NPV)</h3>
Year Cash flow PVIF 10% Present value
0 ($11.86) 1.000 ($11.86)
1 1.90 0.909 $1.73
2 1.90 0.826 $1.57
3 1.90 0.751 $1.43
4 1.90 0.683 $1.30
5 1.90 0.621 $1.18
6 1.90 0.564 $1.07
7 1.90 0.513 $0.98
8 1.90 0.467 $0.89
9 1.90 0.424 $0.81
10 6.45 0.386 $2.49
NPV $1.58
1.9+5.25-2×35%=6.45
Hence, the NPV is $1.58.
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Answer:
A. x = 4; B. x = 6; y = 24
Step-by-step explanation:
The corresponding sides of similar figures are proportional to each other.
A. Rectangles
x/2 =16/8 Multiply each side by 2
x = 2 × 16/8
x =4
B. Triangles
x/18 = 4/12 Multiply each side by 12
x = 18 × 4/12
x = 6
y/8 = 12/4 Multiply each side by 8
y = 8 × 12/4
y = 24
Answer:
i) y=-2x-7 and (ii) 2y-x=1
substitute i into ii
and solve for X
2(-2x-7)-x=1
-4x-14-x=1
-5x-14=1.........adding similar terms
-5x=15
X=-3......by dividing both side by -5
Then to solve for Y substitute X=-3 into one equation.
take eqn i) Y=-2(-3)-7
Y=6-7
Y=-1
in order pair form (X,Y)=(-3,-1)
