Sasha plans to retire in 7 years from today with 347,419 dollars in her account. If she receives payments of 70,000 dollars per year and she receives her first 70,000 dollar payment in 8 years and her last 70,000 dollar payment in 14 years, then what is the expected annual return for her account? Answer as a rate in decimal format so that 12.34% would be entered as .1234 and 0.98% would be entered as .0098.