Answer:
This is a guess!
When looking at the given equation I can not help but think of compound interest. So I am going to convert this into that format.
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Within the context of financial interest:
Looking for:
P
(
1
−
x
)
n
Where P is the principle sum,
x
is the interest and n is the number of interest cycles (annual)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Given:
y
=
5100
(
0.95
)
x
But
0.95
=
1
−
0.05
so we have
y
=
5100
(
1
−
0.05
)
x
But
.
0.05
=
5
100
So we have
y
=
5100
(
1
−
5
100
)
x
Thus the percentage change each year is
−
5
%
Step-by-step explanation:
For every 3 girls, there are 4 boys. if there are nine girls, that expands to three extra boys, because for every three theres an extra one. so there are 12 boys (9+3.) the final ratio, boys to girls, is 12:9.
Use the pythagorean theorm
16^2 + 12^2 = c^2
256 + 144 = c^2
400 = c^2
c = 20 feet or a
Remark
The trick here is to realize that you have to find the number both have in order to find the difference. That means you take (effectively) 3/8 and 5/8 to find out how much each of them has. The 8 stands for the 136
Step One
Find the number of stamps Alex has. Remember his ratio is the smaller so he will have 3/8
Alex = 3/8 * 136
Alex = 408/8 = 51
Step 2
Find the number that Freddy has.
The total is 136
<u>Formula</u>
Freddy = Total - Alex
Freddy = 136 - 51
Freddy = 85
<u>Check</u>
Let us see if 5/8 * 136 = 85
5*136/8 = 680 / 8 = 85 So your answers are correct.
Difference
Difference = 85 - 51 = 34 which is how many more stamps Freddy has than Alex.