Mary is opening a retirement account at a bank. Her goal is to accumulate $1,000,000 in the account by the time she retires from work in 20 years time. A local bank is willing to open a retirement account that pays 8% interest compounded annually throughout the 20 years. Mary expects that her annual income will increase 6% yearly during her working career. She wishes to start with a deposit at the end of year 1 and increase the deposit at a rate of 6% each year thereafter.