~TLDR at the bottom~
1. The problem statement, all variables and given/known data
The Big question:
Variables Account 1:
Variables Account 2:
2. Relevant equations
3. The attempt at a solution
For the savings account it was easy.
(This answer was received using my age of 19)
After this point it shows my attempts at solving the second part of the question.
If you know how to solve it skip this next very long and very tedious section.
If you are trying to solve it and am not sure how,
the next part may inspire you or just confuse you.
The second part is tricky. I must find the compound interest while removing money.
My First Attempt:
Solve for P using annuity
This cannot be true if A is the annuity than P would be what you add per month to get A.
My Seccond Attempt:
Sum of a Geometric Sequence
I felt this would give me the end amount but without the money removed each month which is unhelpful :(.
My Third Attempt:
Which i see no way i would be abel to solve for x this was also a dead end :(
My Final Attempt:
But as you see i cannot solve for x without knowing what A180
equals. and i cannot find what A180
equals without X.
I'm sure there is a way to do it that i am just missing. As you can see i did try....
I do not necessarily need the answer just a push in the right direction.
And if you get the answer show your work so i do not lose my mind wondering.
TLDR: Answer the problem and show work ;)