The amount of money in a certain bank account is A(t), where t is measured in months, and A(0) is the amount of the initial deposit. 4 1000 A dollars per month. It also continually takes out fees, at a constant rate of $16 The bank continually deposits interest into the account at a rate of per month. Give a first-order linear differential equation describing A(t). : it A+ If the initial deposit was 0' dollars, give an explicit formula for A(t). A(t) = \\ ii! ? 1. What happens to the account over time if the initial deposit is $ 16000, and there is no activity other than what was already described in the