Answer:
When we have a graph of a function y = f(x) = 10^x
A vertical dilation can be made by multiplying the function by a scale factor a.
Then the dilated graph is y = g(x) = a*10^x
This means that the graph that shows the dilation is a graph that is dilated vertically in with a scale factor equal to a (if a is smaller than 1, this is called a compression).
You can look for easy points to see which is the correct graph.
For example, when x = 0, f(0) = 10^0 = 1
and the dilated graph: x = 0, g(0) = a*10^0 = a
So other characteristic of the new graph is that passes trhough the point (0, a)
Answer:
1.90909 (Rounded to fifth decimal place)
Step-by-step explanation:
Answer:
(3,7), (3,8), (3,9), (3,10) is not a function.
Step-by-step explanation:
A function is defined as a relation in which each input value has only a single output value.
This means that for each
value there should be only one
value. If this criteria is not fulfilled then the relation cannot be called a function.
For the given set of points, we notice that for
,
which shows there are many y-values o for a single x-value. This means there are many outputs for a single input. This disqualifies it to be a function.
Thus, (3,7), (3,8), (3,9), (3,10) is not a function.
Answer:
(lx-4
Step-by-step explanation:
The profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.
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Profitability index</h3>
First step is to find the Net present value (NPV) of the given cash flow using discount rate PVF 16% and PV of cash flow which in turn will give us net present value of 49.7.
Second step is to calculate the profitability index
Profitability index = 49.7/340
Profitability index = .15×100
Profitability index=15%
Therefore the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.
Learn more about Profitability index here:brainly.com/question/3805108
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