Comparision of volume of sphere and cube=0.98820059
coparision of surface area of sphere and cone=0.807582012
Step-by-step explanation:
Let the height above which the ball is released be H
This problem can be tackled using geometric progression.
The nth term of a Geometric progression is given by the above, where n is the term index, a is the first term and the sum for such a progression up to the Nth term is
To find the total distance travel one has to sum over up to n=3. But there is little subtle point here. For the first bounce ( n=1 ), the ball has only travel H and not 2H. For subsequent bounces ( n=2,3,4,5...... ), the distance travel is 2×(3/4)n×H
a=2H..........r=3/4
However we have to subtract H because up to the first bounce, the ball only travel H instead of 2H
Therefore the total distance travel up to the Nth bounce is
For N=3 one obtains
D=3.625H
The denominator in the earnings per share formula is number of common shares outstanding.
What is the denominator used in the computation of earnings per share?
- The weighted average of the outstanding shares of common stock serves as the numerator of the earnings per share.
- The "per share" part necessitates further computation when the number of common shares changes in the middle of the year.
- The weighting of the per share part depends on how long each share number has been in circulation.
How are basic earnings per share determined?
- Basic EPS is calculated by dividing net income by the weighted average of the common shares outstanding for the relevant period.
- Preferred dividends should be removed from the net income because they are not available to common stockholders.
- Net income can also be broken down into "continuing operations" P&L and "total P&L".
Learn more about Basic EPS
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