All Answers 358150 Answers

i can just be a pronumeral like any other but it can also mean

$$i=\sqrt{-1}$$

Noe this has no real solutions - you cannot find the square root of a negative number but there are other numbers called imaginary or complex numbers.  i is the basis of that number system.   

$$-9n\times -15=135n$$

     $$2+\frac{1}{\sqrt2}
=2+\frac{\sqrt2}{2}
=\frac{4+\sqrt2}{2}$$

Well that would depend on how often the money is compounding but to make it easy I will say it is compounding annually.

P(1.06^20)=1000000

p=1000000/(1.06^20)

$${\frac{{\mathtt{1\,000\,000}}}{\left({{\mathtt{1.06}}}^{{\mathtt{20}}}\right)}} = {\mathtt{311\,804.726\: \!886\: \!084\: \!594\: \!591\: \!2}}$$

A million dollars in 20 years is equivalent to    $311 804  today.

Yes there was no reason to delete it.

I was just showing that a penthouse in sydney is up for sale at 30 million dollars.

It is just one floor of a building!   Plus the strata fees (compulsory fees for upkeep) are $100,000 anually!

All the study part u both said just went above my head! It was like as if I'm "just" reading my geography book in the class! It's like a jump from ABCD to tenses  , and Melody I have no idea how to solve that table!

Melody what did u write that uve deleted it?

Since both equations = 1, we have

x + y + z = 2xy - z^2    or, alternatively

x + y - 2xy + z^2 + z = 0

As Melody indicates, because we have more variables than equations, there are infinitely many solutions.....

The graph of this is a "two-sheeted" hyperboloid....... here it is displayed in WolframAlpha

t/8=12

(t * 8)/8 = 12 * 8

t = 12 * 8

t = 96

There is some formula that you are supposed to know but I can never remember it.

so I'll do it the long way.

$$\\let\quad \theta=atan(x/a)\\
tan\theta=\frac{x}{a}\\\\
x=a*tan\theta\\\\
\frac{dx}{d\theta}=a*sec^2\theta\\\\
\frac{d\theta}{dx}=\frac{cos^2\theta}{a}\\\\
\frac{d\theta}{dx}=\frac{\frac{a^2}{x^2+a^2}}{a}\\\\
\frac{d\theta}{dx}=\frac{a^2}{a(x^2+a^2)}\\\\
\frac{d\theta}{dx}=\frac{a}{a^2+x^2}\\\\$$

I expect it is more sensible to remember the formua  LOL

t/8=12

Multiplying both sides of the equation by 8, 

8*t/8=12*8

t=96

√27/3 =√27/√3

=√9×3/√3

=3√3/√3

=3

Depends on the question.

Practice, pracice, practice and you'll get there... Good luck.

27/3=9 the square root of 9 is 3

it is 

atan

Alan, do you like classical music?

I'm enjoying this.

Well spotted Chris!

Yea apples are fickled things - they fall with the wind.     LOL

ln of what?       

y= I suppose?       

It also needs brackets because I know what is on the bottom of the fraction.  

$$2-\sqrt{13}$$

That is as simple as it gets.

y=A*sin[B(x+C)] +D

NOTE: the B is outside the bracket

A=amplitude

period is 2pi/B

Phase shift is -C

vertical shift is D

Well....here in the US, we have a standard school year of 180 days....so just multiply 180 x 9 x 10 to get your answer in euros

(However, now that I think about it, you won't get many lunches here in the States, because I'm not aware that anyone accepts payment in euros.......better to take your chances and move to France......)

You can put this one straight into the onsite calculator....it will give you the answer.....