supermanaccz

You can either use a fractions calculator, or use the division sign. Three fourth can written as 3 / 4. 

Happy belated birthday!!!

The aops answer says 1/2. May someone explain it to me?

I agree with you CPhill, but isn't a fraction not allowed to have a square root in the denominator?

I think we are supposed to multiply both the numerator and denominator by the square root of 2. 

√2/2 is the final answer. 

The first step is that we can clear unnecessary numbers: 

12,500 = 5000 ( 1 + r ) ( 5 )

Then we divide both sides by 12,500

1 = 2 ( 1 + r )

Now that we got rid of the big numbers, we can distribute the parentheses. 

1 = 2 + 2r 

Subtract 2 from both sides:

2r = -1

Divide 2 from both sides: 

r = -1/2

A function f is even if the graph of f is symmetric with respect to the y-axis. Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. Afunction f is odd if the graph of f is symmetric with respect to the origin.

Thanks guys!

I am not sure with #2, can someone help me with that too?

1) We can rewrite this as (n + m)/mn = 1/15, which also is mn = 15m + 15n.

We move everything to one side:

mn - 15m - 15n = 0 

There is this method of adding a special number to both sides to make this doable.

In this case, we do + ( - 225) to both sides. mn - 15m - 15n - 225 = -225 

We can rewrite this as -n*(m-15)-15(m-15)=-225, which also is (m-15)*(n-15) = 225

Using a factoring trick, 225 can be written as (1,225);(3,75);(5,45);(9,25);(15,15)

So there are nine ordered pairs because 15,15 is the same as 15,15. Others can be doubled. 

374.20833333333....pi