A person in retirement is depositing $900,000 in a saving account which pays 4.5% interest per year. The person plans to withdraw money from the account once a year. He starts by withdrawing $35,000 after the first year, and then in each subsequent year he increases the amount he withdraws according to an inflation rate of 1.5%. For example, he would withdraw $35,525 after the second year. Find the number of years that the money in the account will last assuming a constant yearly inflation rate of 1.5% using (a) Excel like showed in class and in the PowerPoint and (b) the geometric gradient economic formula. State the number of years the money will last for both parts (a) and (b) and show all your work including the Excel graph and the geometric gradient formula.