Suppose you open a bank account with an initial deposit of $5,000. Assume you deposit $50 each month, and that this account earns interest of 6% annually.

Suppose you open a bank account with an initial deposit of $5,000. Assume you deposit $50 each month, and that this account earns interest of 6% annually. a) Write the difference equation that describes this system. The equation has to consider the fact that the money is earning interest, and the fact that additional money is being deposited regularly. b) Use the recursion method to calculate the balance every month during the first six months. c) Sketch the discrete time signal (output) that describes this system, consider n=0 to 6. Suppose you open a bank account with an initial deposit of $5,000. Assume you deposit $50 each month, and that this account earns interest of 6% annually. a) Write the difference equation that describes this system. The equation has to consider the fact that the money is earning interest, and the fact that additional money is being deposited regularly. b) Use the recursion method to calculate the balance every month during the first six months. c) Sketch the discrete time signal (output) that describes this system, consider n=0 to 6