1. The problem statement, all variables and given/known data A person initially place $500 in a saving account that pays interest at the rate of 4% per year compounded continuously. Suppose the person arranges for $10 per week to be deposited automatically into the savings account. (I) Write a differential equation for P (t), the amount on deposit after t years (assume that “weekly deposits” is close enough to “continuous deposits” so that we may model the balance with a differential equation.) 2. Relevant equations Let X(t) be the amount on deposit after t years and dX/dt be the rate of change of the deposit. 3. The attempt at a solution dX/dt = 0.04X +480 (480 is the amount of deposit yearly) and X(t) = C e^0.04t +480t , where C is a constant Let X(0) = C =500, then P(t)=500e^0.04t+480t Acturally, I dun no the approach is correct or not? Pls Help!