Total number of ways to make a pair:
The first player can be any one of 7 . For each of those . . .
The opponent can be any one of the remaining 6 .
Total ways to make a pair = 7 x 6 = 42 ways .
BUT ... every pair can be made in two ways ... A vs B or B vs A .
So 42 'ways' make only (42/2) = 21 different pairs.
If every pair plays 2 matches, then (21 x 2) = <em><u>42 total matches</u></em> will be played.
Now, is that an elegant solution or what !
Answer:
Step-by-step explanation:
step 1
Find the equation of the solid line
From the graph take the points (0,3) and (4,11)
Find the slope
The equation of the solid line in slope intercept form is equal to
we have
----> the y-intercept is the point (0,3)
substitute
therefore
The inequality is
step 2
Find the equation of the dashed line
The slope is given
From the graph take the y-intercept (0,-5)
The equation of the solid line in slope intercept form is equal to
we have
substitute
therefore
The inequality is
because the shaded region is below the dashed line
therefore
The system of inequalities is
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:
okk
Step-by-step explanation:
The answer is in slope form : Y=1x+5
Reason: all you do is (rise/run) to get the slope. So take (5/5)=1x (slope). Also, your intercept is +5.
