So this is going to be alot of writing to show my thinking but ill bold the answer.
1,1
1,2
1,3
1,4
1,5
2,1
2,2
2,3
2,4
2,5
3,1
3,2
3,3
3,4
3,5
4,1
4,2
4,3
4,4
4,5
5,1
5,2
5,3
5,4
5,5
next ill mark all the ones that equal 4 or 8 when added together, with an x
1,1
1,2
x1,3
1,4
1,5
2,1
x2,2
2,3
2,4
2,5
x3,1
3,2
3,3
3,4
x3,5
4,1
4,2
4,3
x4,4
4,5
5,1
5,2
x5,3
5,4
5,5
that is 6 (that equal 4 or 8) out of 25
so your ratio would be 6:19
For this case we have the following expression:

For simplicity we follow the steps:
We apply distributive property to the terms within the parenthesis, bearing in mind that:

We add similar terms taking into account that equal signs are added and the same sign is placed, while different signs are subtracted and the sign of the major is placed.

ANswer:

I know none of these are actually the answer but odysseyware gave me credit for
(4,2)
Answer:
![r= [(\frac{A}{2500}) ^\frac{1}{2} -1]](https://tex.z-dn.net/?f=r%3D%20%5B%28%5Cfrac%7BA%7D%7B2500%7D%29%20%5E%5Cfrac%7B1%7D%7B2%7D%20-1%5D)
Step-by-step explanation:
Given data
Principal = $2500
time t= 2 years
Required
the rate r
Given the expression for the balance 2500(1+r)^2
Hence

we can make r subject of formula
![r= [(\frac{A}{P}) ^\frac{1}{t} -1]](https://tex.z-dn.net/?f=r%3D%20%5B%28%5Cfrac%7BA%7D%7BP%7D%29%20%5E%5Cfrac%7B1%7D%7Bt%7D%20-1%5D)
![r= [(\frac{A}{2500}) ^\frac{1}{2} -1]](https://tex.z-dn.net/?f=r%3D%20%5B%28%5Cfrac%7BA%7D%7B2500%7D%29%20%5E%5Cfrac%7B1%7D%7B2%7D%20-1%5D)
Hence, for any value of A, we can find the rate using the expression above