Answer: A
Step-by-step explanation:
In this question, you can disregard the initial $13.90 cost because we're only looking for an INCREASE in price. If the Johnson family used 200 cubic feet MORE of water, we need to multiply 2 * 1.45 which gets us 2.90. We multiply 2 by 1.45 because 200 represented in x is 2, since x is represented in hundreds.
Answer:
B. II only
Step-by-step explanation:
Immunisation is used to lower the risk factor that may arise due to change in interest rate . For it, cash inflow and cash outflow are matched in terms of their timing . In other words, effective duration of asset and liability are matched with the help of methods like cash flow matching , duration matching etc.
Even lowering of interest rate in long term may entail risk because it may increase the bond price which may affect the business adversely in some way if bond is kept as liability . It may reduce the price of asset if it is held as asset .
Exact matching is possible only when matching of cash flow is achieved along with its timing . Matching of present value will not serve the purpose .
Macaulay or modified duration can be used to develop an immunization strategy . Both of them calculate the duration of asset and liability with some change in the method of calculation.
Answer: Choice D
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Explanation:
It might help to turn the image sideways so that it is rotated 90 degrees. Have the triangle facing upward with (x1,y2) and (x1,y1) as the base points. The base has a length of (y2-y1) as this is the difference of y coordinate values. The x coordinate being the same indicates we simply subtract.
The height is (x3-x1) which is the difference of the x coordinates for either left point and the right point
So,
area = (1/2)*base*height
area = (1/2)*(y2-y1)*(x3-x1)
which is why choice D is the answer
Answer:
B(-6, 0)
Step-by-step explanation:
You want to find B such that ...
(B -A) = (3/4)(C -A) . . . . the required distance relation
4(B -A) = 3(C -A) . . . . . . multiply by 4
4B = 3C +A . . . . . . . . . . add 4A, simplify
Now, we can solve for B and substitute the given coordinates:
B = (3C +A)/4 = (3(-6, -2) +(-6, 6))/4 = (-24, 0)/4 = (-6, 0)
The coordinates of point B are (-6, 0).