First account: $6500
Second account: $8500
Set x is amount of money in first account
=> x + 2000 is money in second account.
X*3% + (x+2000)*4% = 535
=> x = (53500 - 8000) / 7
X = 45500 / 7 = 6500
=> account #1 = x = 6500
Acc #2 = x + 2000 = 6500 + 2000 = 8500
Rearrange the ODE as
Take
, so that
.
Supposing that
, we have
, from which it follows that
So we can write the ODE as
which is linear in
. Multiplying both sides by
, we have
Integrate both sides with respect to
:
Substitute
, so that
. Then
Integrate the right hand side by parts using
You should end up with
and provided that we restrict
, we can write
<span>In this case, that would be 13,000.</span>
Your answer will be B 12.5% because there's one whole that equals 10 and the second box that has 2 and a half that's equals 2.5 and then you add them together...
10+2.5=12.5
So your answer is B 12.5.