Melody

Fri 5/6/15

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' 

Thanks Chris,    

I shall have to think about this one.  

Nice presentation Alan       

I've often looked are ways of presenting polynomial division  :/

Thanks Chris

$$\begin{array}{rlllll}
&3&^19&&\\
1&\not{4}&\not{A}&^16&_{12}\quad&\mbox{Take 12 from the 2nd column 12+6-9=9 etc}\\
&5&B&9&_{12}\quad&\mbox{12+9-11=10=A}\\
&&&&\quad&\mbox{12+3-5=10=A}\\\\\hline
&A&A&9&_{12}\\
\end{array}$$

Do you understand Mellie ?     I have done this like an ordinary subtraction  

Great explanation DarkBlaze347  

$$\\\frac{(-6)^2}{(-3)}+\qquad\frac{-8}{(-1/2)}\qquad-5 \\\\
=\frac{36}{(-3)}+\qquad-8\div\frac{-1}{2}\qquad-5 \\\\
=\frac{36}{(-3)}+\qquad 8\div\frac{1}{2}\qquad-5 \qquad $A neg divided by a neg = a pos$\\\\
=-12+\qquad 8\times\frac{2}{1}\qquad-5 \\\\
=-12+\qquad 16\qquad-5 \\\\
=-17+16\\\\
=-1$$

Thank Alan 

The usual formula is

FV=PV(1+r)^n

fot this specific question

FV=100×(1+0.01)^5

FV=100×1.01^5

That is 1% interest per day for 5 days.

how can i calculate % growth per nr. of times? for example, i have 100$ and it grows 1% or 5 days. 

Umm    

12% pa calculated yearly is nominally 1% per month BUT if you are talking real rather than nominal rates then

$$\\(1.12)=(1+r)^{12}\\\\
(1.12)^{1/12} = 1+r\\\\
(1.12)^{1/12}-1 = r\\\\$$

$${{\mathtt{1.12}}}^{\left({\frac{{\mathtt{1}}}{{\mathtt{12}}}}\right)}{\mathtt{\,-\,}}{\mathtt{1}} = {\mathtt{0.009\: \!488\: \!792\: \!934\: \!583}}$$

So 12% compounded annually  is equal to approx  0.95 % compounded monthly.

Maybe that helps answer your question.  I am not really sure what you are asking :/

I am looking at this a bit at a time Alan.

$$\\\int{\frac{dy}{tan(y)}}\\\\
=\int{\frac{cos(y)}{sin(y)}}dy\\\\
=ln(sin(y))+k$$

Isn't that correct ?