Answer:
alr 5x+11 and 2x-3
5x+11=16x
2x-3=-1x
Step-by-step explanation:
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Answer:
3.9
Step-by-step explanation:
The retained earnings for the year is $205,000
The firm paid out $185,000 in cash dividend
It has total equity of$4.90 million
100,000 common shares are outstanding
Therefore the earnings per share van be calculated as follows
= 205,000+185,000/100,000
= 390,000/100,000
= 3.9
Hence the earnings per share is $3.9
Answer:
t-shirts: 2790
profit: $12209
Step-by-step explanation:
Given the function:
p(x) = -x³ + 4x² + x
we want to maximize it.
The following criteria must be satisfied at the maximum:
dp/dx = 0
d²p/dx² < 0
dp/dx = -3x² + 8x + 1 = 0
Using quadratic formula:







d²p/dx² = -6x + 8
d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0
d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0
Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.
Replacing into profit equation:
p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209
that is, $12209
C. would be the correct device to use in trials.
But the actual probability is:
(1-1/4)^5
243/1024
(about 23.73% chance none of the five chose vanilla)