Common stockholders would receive $800.
(100 shares x $100) 10,000 x 6% = $600 - this is the amount paid to preferred stockholders per year.
Since Custer.com also paid the dividend in arrear last year, $600 x 2yrs = $1,200 is the total amount paid to preferred stockholders this year.
Cash dividends - $2,000
Preferred sh <u>($1,200)
</u>Common sh $ 800<u>
</u>
the answer to 1/3 times 3/4 is 1/4
let's recall that d = rt, distance = rate * time.
we know that Steve is twice as fast as Jill, so say if Jill has a speed or rate of "r", then Steve is traveling at 2r fast, now we know they both in opposite directions have covered a total of 120 miles, so if Jill covered "d" miles then Steve covered 120 -d, check the picture below.
![\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Jill&d&r&2.5\\ Steve&120-d&2r&2.5 \end{array}~\hfill \begin{cases} d=2.5r\\[2em] 120-d=5r \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{120-2.5r=5r\implies 120=7.5r}\implies \cfrac{120}{7.5}=r\implies \stackrel{Jill's}{16=r}~\hfill \stackrel{Steve's}{32}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blcccl%7D%20%26%5Cstackrel%7Bmiles%7D%7Bdistance%7D%26%5Cstackrel%7Bmph%7D%7Brate%7D%26%5Cstackrel%7Bhours%7D%7Btime%7D%5C%5C%20%5Ccline%7B2-4%7D%26%5C%5C%20Jill%26d%26r%262.5%5C%5C%20Steve%26120-d%262r%262.5%20%5Cend%7Barray%7D~%5Chfill%20%5Cbegin%7Bcases%7D%20d%3D2.5r%5C%5C%5B2em%5D%20120-d%3D5r%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bsubstituting%20on%20the%202nd%20equation%7D%7D%7B120-2.5r%3D5r%5Cimplies%20120%3D7.5r%7D%5Cimplies%20%5Ccfrac%7B120%7D%7B7.5%7D%3Dr%5Cimplies%20%5Cstackrel%7BJill%27s%7D%7B16%3Dr%7D~%5Chfill%20%5Cstackrel%7BSteve%27s%7D%7B32%7D)
The first one states that there are 6 cups of orange juice for every _ cups of punch
There are 6 cups of orange juice and 4 cups of cranberry in 10 cups of juice because 6 c orange + 4 c cranberry = 10 cups total punch
So for 6 cups of orange juice there would be 10 cups of punch.
The 3rd one states that the ratio of cranberry juice to punch is _:_
Punch is cranberry and orange combined- at the ratio of 4:6
So for 4 cups of cranberry, there would be 10 cups punch (4 c cranberry + 6 c orange = 10 c punch)
So the ratio would be 4:10, it can be simplified like fractions as 2:5
I don't know is you have to but if you do, don't forget to simplify the ratios.
Good luck!
