Suppose you deposit $5500 into an savings account earning 5% annual interest compounded continuously. To pay for all your music downloads, each year you withdraw $600 in a continuous way. Let A(t) represent the amount of money in your savings account t years after your initial deposit. (A) Write the DE model for the time rate of change of money in the account. Also state the initial condition. dA dt A(0) = (B) Solve the IVP to find the amount of money in the account as a function of time. A(t) (C) When will your money run out? t = years