Step-by-step explanation:
Solution:
The permutation formula is expressed as
The combination formula is expressed as
where
Given that 6 objects are taken at a time from 8, this implies that
Thus,
Number of permuations:
Number of combinations:
Hence, there are 28 combinations and 20160 permutations.
The total stockholders equity based on the information given will be $8285000.
<h3>How to compute the equity?</h3>
The stockholders equity will be calculated thus:
Common stock $4480000
Excess over par = $1152000
Paid in capital = $5632000
Sale of treasury = $224,000
Total paid in capital = $5856000
Retained earnings = $2,554,000
Total = $8,410,000
Less treasury stock = 125,000
Total stockholders equity = $8,410,000 - $125000
= $8285000
Therefore, the total stockholders equity based on the information given will be $8285000.
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Answer:
x = 12
Step-by-step explanation:
To get the value of x, we use the mid-segment theorem of trapezoid
The theorem is that the mid-segment is half the sum of the other two segments
We have this as
;
5x - 20 = 1/2(2x + 6 + 4x + 2)
2(5x-20) = 6x + 8
5x -20 = 3x + 4
5x -3x = 4 + 20
2x = 24
x = 24/2
x = 12
