Melody

I wasn't talking personally Chris.

There are more people in the world than just us you know!    

Yes i know- My comment was tongue in cheek. 

It is most likely a lot more common for 2 stupid people to think alike.

I wonder what the probablilities are ? 

Did you register?  What is your username?   

If $1000 is invested at an interest rate of 3.75% per year, compounded quarterly, find the value of the investment after the given number of years. 

i=0.0375/4=0.009375

n years, 4n time periods,

FV=1000(1.009375)⁴ⁿ

FV stands for future value and n stands for number of years.

I don't know Chris, don't they say 2 great minds think alike?  lol

Hi Ninja,

Probability is not mystrong suit but I'll give it a shot.

I am assuming that the pedestals are all in a line.  If they are in a circle the answer would be different.

Firstly, how many ways can 24 people be put on 24 pedestals.

24 possiblilities for the 1st one

23 possibilities for the 2nd one 

22 people left for the third one etc

so this is 24! ways.

Now lets think of you and your freind joined together and 2 of the pedestals jointed together.  How many ways can you all be put on the pedestals now?

Well this would be 23! ways except you could be either on the left or on the right of your friend so that would be 23!*2

So I think the probability would be  2*23!/24! = 2/24=1/12

That really does not sound right to me.  Like I said I am not very good at probability.

Jboy314 is completely correct.  I just want to stress a point

you use normal trig when you are looking for a length.

You use Inverse trig when you are looking for an angle!

Thank you for sharing Rosala.

$${\frac{{\mathtt{4}}}{{\mathtt{5}}}}{\mathtt{\,\times\,}}\left({\mathtt{1}}\right){\mathtt{\,-\,}}{\mathtt{2}}{\mathtt{\,\times\,}}\left({\mathtt{2}}\right){\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{3}}}{{\mathtt{6}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{5}}{\mathtt{\,\times\,}}\left({\mathtt{3}}\right)}{{\mathtt{8}}}}{\mathtt{\,-\,}}{\mathtt{6}}{\mathtt{\,\times\,}}\left({\mathtt{3}}\right) = {\mathtt{\,-\,}}{\frac{{\mathtt{903}}}{{\mathtt{40}}}} = -{\mathtt{22.575}}$$

so far this is true.

I think this question is in Filipino.

why did he then -903/40 the equal ung nadivide became -22.575

so I think you want to know why this is true.

kaya sa tingin ko nais mong malaman kung bakit ito ay totoo.

arithmetic must be done in a set order of operation. 

It is sometimes referred to as BODMAS or PEDMAS.

[Anyway brackets must be dealt with first], [then exponents (or power Ofs)] then [multiply and divide are equally important] and lastly [addition and subtraction are equally imprortant]

$$\left\{{\frac{{\mathtt{4}}}{{\mathtt{5}}}}{\mathtt{\,\times\,}}\left({\mathtt{1}}\right)\right\}{\mathtt{\,-\,}}\left\{{\mathtt{2}}{\mathtt{\,\times\,}}\left({\mathtt{2}}\right)\right\}{\mathtt{\,\small\textbf+\,}}\left\{{\frac{{\mathtt{3}}}{{\mathtt{6}}}}\right\}{\mathtt{\,-\,}}\left\{{\frac{{\mathtt{5}}{\mathtt{\,\times\,}}\left({\mathtt{3}}\right)}{{\mathtt{8}}}}\right\}{\mathtt{\,-\,}}\left\{{\mathtt{6}}{\mathtt{\,\times\,}}\left({\mathtt{3}}\right)\right\}$$

=  $$\left\{{\frac{{\mathtt{4}}}{{\mathtt{5}}}}\right\}{\mathtt{\,-\,}}\left\{{\mathtt{4}}\right\}{\mathtt{\,\small\textbf+\,}}\left\{{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right\}{\mathtt{\,-\,}}\left\{{\frac{{\mathtt{15}}}{{\mathtt{8}}}}\right\}{\mathtt{\,-\,}}\left\{{\mathtt{18}}\right\}$$

=  $$\left\{{\frac{{\mathtt{4}}}{{\mathtt{5}}}}\right\}{\mathtt{\,-\,}}\left\{{\mathtt{4}}\right\}{\mathtt{\,\small\textbf+\,}}\left\{{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right\}{\mathtt{\,-\,}}\left\{{\frac{{\mathtt{15}}}{{\mathtt{8}}}}\right\}{\mathtt{\,-\,}}\left\{{\mathtt{18}}\right\}$$

= $${\mathtt{\,-\,}}{\mathtt{4}}{\mathtt{\,-\,}}{\mathtt{18}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{4}}}{{\mathtt{5}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{15}}}{{\mathtt{8}}}}$$

=  $${\mathtt{\,-\,}}{\mathtt{22}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{4}}}{{\mathtt{5}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{15}}}{{\mathtt{8}}}}$$

Now you need to get a common denominator for all those fractions. It will have to be 40

Ngayon ay kailangan mong makakuha ng isang karaniwang denominador para sa lahat ng mga fraction. Ito ay kailangang maging 40

=  $${\mathtt{\,-\,}}{\mathtt{22}}{\mathtt{\,\small\textbf+\,}}{\frac{\left({\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{8}}\right)}{\left({\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{8}}\right)}}{\mathtt{\,\small\textbf+\,}}{\frac{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{20}}\right)}{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{20}}\right)}}{\mathtt{\,-\,}}{\frac{\left({\mathtt{15}}{\mathtt{\,\times\,}}{\mathtt{5}}\right)}{\left({\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{5}}\right)}}$$

= $${\mathtt{\,-\,}}{\mathtt{22}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{32}}}{{\mathtt{40}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{20}}}{{\mathtt{40}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{75}}}{{\mathtt{40}}}}$$

= $${\mathtt{\,-\,}}{\mathtt{22}}{\mathtt{\,\small\textbf+\,}}{\frac{\left({\mathtt{32}}{\mathtt{\,\small\textbf+\,}}{\mathtt{20}}{\mathtt{\,-\,}}{\mathtt{75}}\right)}{{\mathtt{40}}}}$$

= $${\mathtt{\,-\,}}{\mathtt{22}}{\mathtt{\,-\,}}{\frac{{\mathtt{23}}}{{\mathtt{40}}}}$$        also equals -(22and 23/40)

= $${\mathtt{\,-\,}}{\mathtt{22}}{\mathtt{\,-\,}}{\frac{{\mathtt{23}}}{{\mathtt{40}}}} = {\mathtt{\,-\,}}{\frac{{\mathtt{903}}}{{\mathtt{40}}}} = -{\mathtt{22.575}}$$

Does this help explain it?

Tulong na ito ipaliwanag ito ba?

Hi anonymous,

It is very easy to register. If you do it now you can give Alan another point for his solution.  (by giving thumbs up)

                                                            ♬ ♬ MELODY ♬ ♬