You have a bank account that earns 4% interest per year. You earn $4500 per year designing web pages for local businesses and spend $5000 buying CD's and computer games.
a.) Find differential equation that models account t years from now, A(t).
A(t) = 4500(1+0.04)^(t) - 5000t
dA/dt = 4500(1.04^t)ln(1.04) - 5000
Is that correct?
b) If A(0) = 10,000 how much money will be in the account in 5 years?