Melody

@@ End of Day Wrap    Sat 15/8/15     Sydney, Australia Time   1:30am      ♪ ♫   

 Yes it is Sunday     

Hello everyone 

Our diligent answerers have been Alan, Geno3141, CPhill, jdh3010, Heureka, Knk98, Rubenhh and Dragonlance.  Thank you for all your great answers  

cassie purchases 3000 shares at $6.75 each and sold them for $8.98 each 9 months later. Brokerage is 2%, GST (10%) applies and the investor's marginal tax rate is 40%. what is the capital gain?

This is what I think

Total cost = $${\mathtt{3\,000}}{\mathtt{\,\times\,}}{\mathtt{6.75}} = {\mathtt{20\,250}}$$

brokerage on this is  $${\mathtt{0.02}}{\mathtt{\,\times\,}}{\mathtt{20\,250}} = {\mathtt{405}}$$       (My goodness that is expensive)

Total revenue = $${\mathtt{3\,000}}{\mathtt{\,\times\,}}{\mathtt{8.98}} = {\mathtt{26\,940}}$$

brockerage on this is  $${\mathtt{0.02}}{\mathtt{\,\times\,}}{\mathtt{26\,940}} = {\frac{{\mathtt{2\,694}}}{{\mathtt{5}}}} = {\mathtt{538.8}}$$

Total brockerage = $${\mathtt{405}}{\mathtt{\,\small\textbf+\,}}{\mathtt{538.8}} = {\frac{{\mathtt{4\,719}}}{{\mathtt{5}}}} = {\mathtt{943.8}}$$

Capital Gain = $${\mathtt{26\,940}}{\mathtt{\,-\,}}{\mathtt{20\,250}}{\mathtt{\,-\,}}{\mathtt{943.8}} = {\mathtt{5\,746.2}}$$

In Australia the Goods and Services tax is already included in the quoted brockerage cost and I don't think there is any GST on anythihng else but I could be wrong :/  [plus of course I do not know what country you are in]

The investor's marginal tax rate is irrelevant.

$$\\\left(\frac{-125}{27}\right)^{-1/3}\\\\
=\left(\frac{27}{-125}\right)^{+1/3}\\\\
=\frac{27}{-5}\\\\
=-5\frac{2}{5}\\\\$$

$$\\(m^3 - n^3)-( m^2n - 2mn^2 )-( 2m^2n - m - n^3 + 2mn^2) \\\\
=m^3 - n^3 -m^2n + 2mn^2 -2m^2n + m + n^3 - 2mn^2 \\\\
=m^3 -m^2n -2m^2n+ 2mn^2 - 2mn^2 + m \\\\
=m^3 -3m^2n + m \\\\$$

A motor home rents for $220 per week plus $.0.25 per mile. Find the rental cost for a 2-week trip of 500 miles for a family of 5.

Cost = 220*2+  0.25*500

The family size is not relevant :)

Thanks Geno,     

Here is the graph

Thanks Alan  :)

Should there be any brackets here?

Your question makes no sense :)

| x | = 3       

x=3 or x=-3

second one is similar

third one : add 4 to both sides and then it is similar too

forth one similar.

5th one is different.     mmm     I'll think about it