Step-by-step explanation:
3 x^3-15x^2+18x 3(x^3-5x^2+6x)
Answer:
[-5, 4) ∪ (4, ∞)
Step-by-step explanation:
Given functions:


Composite function:
![\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%28f%5C%3Ao%5C%3Ag%29%28x%29%26%3Df%5Bg%28x%29%5D%5C%5C%20%26%20%3D%5Cdfrac%7B1%7D%7B%5Csqrt%7Bx%2B5%7D-3%7D%20%5Cend%7Baligned%7D)
Domain: input values (x-values)
For
to be defined:


Therefore,
and 
⇒ [-5, 4) ∪ (4, ∞)
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%.
<h3>
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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Answer:
$132.63
Step-by-step explanation:
$49.13 - ($32.50 × 2)
$49.13 - $65 = $-15.87
$-15.87 + ($74.25 × 2)
$-15.87 + $148.50
=$132.63
Answer:
40%
Step-by-step explanation:
It is 40% because 8/20 times 5 is 40/100 and that is 40%.