D, its (x,y) and (8.2,5.7) are the only ones that match up
A=P(1+R)^n
A=amount in 10 years
P=original amount (200)
R=rate(o.o6)
n=number of times compunded(20)
A=200x1.06^20
=641.4270944
Therefore Rachel will have 641.42 in 10 years
First we distribute
into
and
.
That makes the left side of the equation
Now we subtract
from
, which makes
Now the equation is
Our goal is to isolate
, so we both sides by 30
That will make the equation
We multiply -1 on both sides of the equation:
Finally we simplify
, which makes
So the answer is