Two friends, Alysha and Patricia, are planning for their retirement. Both are 20 years old and plan on retiring in 40 years with $1,000,000 each. Patricia plans on making annual deposits beginning in one year (total of 40 deposits) while Alysha plans on waiting and then depositing twice as much as Patricia deposits. If both can earn 9.80 percent per year, how long can Alysha wait before she has to start making her deposits?