Staff Versus Members! (Current record: 200)

[anoni]

1.
The answer is...

3 / √(5)

Rationalize the denominator and you get
3√5 / 5

[MrRazot]

0. show me the working 

[anoni]

1.
Follows the equation
|ax + by + c| / √(a² + b²)

The equation is 2x - y + 8
The point is (0, 5)

That means
a = 2
b = -1
c = 8
x = 0
y = 5
=|2(0) + 5(-1) + 8) / √(2² + 1²)
=3 / √(5)
Rationalize...

3 * √5 / √5 * √5
= 3√5 / 5

Ok Last question for the night


I'll be pretty impressed if you can do this, it's a finance question.

Gary gets a loan of $100,000. Gary repays the loan with monthly repayments of $M and the interest on the balance is calculated by 6% p.a. calculated monthly.
The balance at the end of n months is given by...
Bn = 100,000(rⁿ) - M(1 + r + r² + .... + r^{n - 1})

Where r = 1.005.
i) If the interest was repaid in 20 years (240 months), what is his monthly repayment?
ii) If he has a monthly repayment of $2,000 how long will it take, to the nearest month, to pay back the loan?
iii) Is the payment method i) or ii) better? How much money does he save using the better method?

I'll answer this tomorrow

[MrRazot]

0 the beauty is i know how to do it
just i dont know how to do it
i have been taught how to do it
but i get confused and stuff


i have the formulas right in my face too

[Midnight Madness]

1

I think I'll stick to English for managing reason... Numbers just are not my forte.

[Bayzan]

1.
Follows the equation
|ax + by + c| / √(a² + b²)

0

This is enough to fry my circuits. So I'm with Sytex here, numbers aren't not for me.

[White Wolf Guardian]

1

Personally once I leave math, I leave math. I only care about it, if I will ever use it. Probably anything beyond arithmetic's and algebra, useless to my work. I could answer to prove that I am capable of Algebra II. However for people perhaps who have not taken higher math courses and those who do not like variable numerical values, what purpose does answering the question correctly serve to them? Entertainment to the person who likes and does math frequently? My math professor loved doing such things all the time, just because it was "fun" for him to embarrass struggling students who were not as adept from years of experience.

[Nikolai the Lynx]

2 I am just going to count for now. I haven't thought about maths in ages.

[White Wolf Guardian]

3

Let's think creative.... *black ink nightmare* Let's not ever do that again.

[Nikolai the Lynx]

4 Lol. I should just never think.

[MrRazot]

0.
i made an ink blot diagram once...
everyone said it was the face of satan

[anoni]

1.
MrRazot, some evil desires you're not telling us?

[MrRazot]

0.
can't tell you...
too evil 

[White Wolf Guardian]

1

He can tell us or I will have to put him in the fox c-c-c-c-cage again.

[Nikolai the Lynx]

2 Lol. That might work.