Melody

Mmm How do you find the angle of a side.

That does sound rather difficult.

Perhaps you could use trigonometry but you would be finding the size of an angle, not the angle of a side.  LOL

I am looking for a better recording :/

this seems better.

3^8 root of 4^2

Not sure what you mean

$$\\\sqrt[3^8] { 4^2}\\
=\left(4^2\right)^{\left(\frac{1}{3^8}\right)}\\\\
=2^{\left(\frac{2^2}{3^8}\right)}\\\\
=2^{\left(\frac{2^2}{81^2}\right)}\\\\
=2^{\left(\frac{4}{6561}\right)}\\\\$$

I am just muck around here  but I think that they are all equivalent :)

simplify what?

-7(4-9b)=-7*4- - 7*9b = -28+63b

I do not actually see any question here   

I suppose you want to know how much they each have at age 75 years ?

i = (0.07/12)

Mitch

How much after 10 years

$${\mathtt{100}}{\mathtt{\,\times\,}}\left({\frac{\left({\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}\left({\frac{{\mathtt{0.07}}}{{\mathtt{12}}}}\right)\right)}^{\left({\mathtt{120}}\right)}{\mathtt{\,-\,}}{\mathtt{1}}\right)}{\left({\frac{{\mathtt{0.07}}}{{\mathtt{12}}}}\right)}}\right) = {\mathtt{17\,308.480\: \!743\: \!353\: \!610\: \!059\: \!6}}$$

After a further 40 years

$${\mathtt{17\,308.48}}{\mathtt{\,\times\,}}{\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{0.07}}}{{\mathtt{12}}}}\right)}^{{\mathtt{480}}} = {\mathtt{282\,325.739\: \!551\: \!243\: \!036\: \!749\: \!5}}$$

So it seems that Mitch will have    $282326

What about Bill

$${\frac{{\mathtt{100}}{\mathtt{\,\times\,}}\left({\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{0.07}}}{{\mathtt{12}}}}\right)}^{{\mathtt{480}}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}{\left({\frac{{\mathtt{0.07}}}{{\mathtt{12}}}}\right)}} = {\mathtt{262\,481.339\: \!833\: \!333\: \!259\: \!683\: \!2}}$$

Bill will only have $262 481

So Mitch will have more at age 75 years

@@ End of Day Wrap   Thurs 14/5/15   Sydney, Australia Time   6:40pm  ♪ ♫

Hi everyone,

Many great answers today from Heureka, Derrickid, kes1968, EinsteinJr, DarkBlaze347, Martindomeck, BrittanyJ, GirlsNightOut, Nauseated, hotman123, Smartboy, wonergirl257, Civonamzuk, Geno3141, TitaniumRome, HeatherF, BunnyBoo and Fiora.  Thank you.  

Fri  15/5/15

If you would like to comment on other site issues please do so on the Lantern Thread.  Thank you.    

Interest Posts:

FTJ means 'For the juniors' 

It is a square.

What properties to squares have?

Draw one!

You can answer this yourself :))

(5x+6)/12=-2

$$\frac{5x+6}{12}=-2$$

When you are solving equations you need to constantly ask yourself - "What do I want to get rid of"

[hint: you can sort of thing of PEDMAS and do it BACKWARDS]

The aim here is to eventually get the x all by itself. 

But first you will need to get rid of the 12.

You can do this by multiplying BOTH sides by 12.

It is important to keep the equation balanced.  What you do to one side you need to do to the other side as well.

so

$$\begin{array}{rll}\\
\frac{5x+6}{12}&=&-2\\\\
5x+6&=&-24\\\\
\end{array}$$

now you need to get rid of the tacked on 6  

The opposite of + is minus so minus it from both sides

$$\begin{array}{rll}\\
\frac{5x+6}{12}&=&-2\\
5x+6&=&-24\\
5x+6-6&=&-24-6\\
5x&=&-30\\
5*x&=&-30\\

\end{array}$$

Now you need to get rid of the 5 and the opposite of * is divide (which is the same as a fraction)

$$\begin{array}{rll}\\
\frac{5x+6}{12}&=&-2\\
5x+6&=&-24\\
5x+6-6&=&-24-6\\
5x&=&-30\\
5*x&=&-30\\
\frac{5*x}{5}&=&\frac{-30}{5}\\
x&=&-6\\

\end{array}$$

And that is how it is done.  

Always make sure that your equations balance that is really important!

Here is another for you to do      

3x-7=2*-4

Hint: Simplify the right hand side first.