110000 is the total dividends of both preferred stock and common stock
So we need to find the dividend per share common stock
First find the total dividends of preferred stock
5,000×2.38=11,900
Subtract the total dividends of preferred stock for the total dividends to find the total dividends of common stock
110,000−11,900=98,100
Finally divide the total dividends of common stock by the number of common stock to find the dividend per share of common stock
98,100÷12,000=8.175....answer
Hope it helps!
Answer:
The scale of y-axis is 10, and the scale of x-axis is 1.
Step-by-step explanation:
The y-coordinates of points J, K,L,M, and N are divisible by 10, so it would be convenient to scale the y-axis to 10, doing so will result in a graph that does not occupy too much space and is therefore easier to read.
The x-coordinates of points J, K,L,M, and N are integers less than 10. Our graph will be easier to read if we scale the x-axis to 1, because then we get a graph whose x-coordinate is marked such that the x values of the points can be easily related.
<h3>Answer: 13</h3>
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Explanation:
The best case scenario is that you get 3 of the same color in a row on the first three attempts. The lower bound is 3.
However, we have to consider the worst case scenario when we want to guarantee something like this, without looking at the candies we selected.
Consider the case of something like this sequence:
- black
- white
- green
- red
- blue
- yellow
- black
- white
- green
- red
- blue
- yellow
- black
As you can see above, I've listed the colors in the order presented by your teacher. I pick one candy at a time. Once I reach yellow, I restart the cycle. In slots 1, 7 and 13, we have a black candy selected. This example shows that we must make 13 selections to guarantee that we get at least 3 candies of the same color (that color being black). The order of the candies selected doesn't matter. We could easily use any other color except yellow to do this example. The black candy just happened to be the first listed, so I went with that.
Note how we have 6 unique colors in the set {black, white, green, red, blue, yellow}. If we pick 2 candies of each color, then we've selected 6*2 = 12 candies so far. That 13th candy (some color other than yellow) is guaranteed to be a color we already selected; therefore, we'll be guaranteed to have 3 of the same color. We won't know what color it is but we will know we have a match like this.
For more information, check out the Pigeonhole Principle.
Answer:
distance=rate*time
2520=(r)(3)+(r+90)(3) (they both travel for 3 hours)
2520=3r+3r+270
2520-270=6r
2250=6r
r=2250/6
r=375 mph
r+90=375+90=465 mph
Step-by-step explanation:
Answer:
x=8 and y=2
Step-by-step explanation:
