Matthew$$s friend, Gregory, has hired a financial planner for advice on retirement. Considering Gregory$$s current expenses and expected future lifestyle changes, the financial planner has stated that once Gregory crosses a threshold of $$920,925$ in savings, he will have enough money for retirement. Gregory has nothing saved for his retirement yet, so he plans to start depositing $$40,000$ in a retirement fund at a fixed rate of $5\mathrm{.}00\%$ at the end of each year. It will take for Gregory to reach his retirement goal.