You work for Jostle Co$.$ and have been given the task to evaluate a new project. The initial investment needed for this project is $$419,000.$ The project will not produce any cash flows in the first two years and the estimated cashflows for years $3$ through $7$ are $$69,000,$ $$98,000,$ $$109,000,$ $$145,000,$ and $$165,000,$ respectively. How long will it take the firm to recover its initial investment in this project?SubmitpointsMultiple Choice$801$:$43\mathrm{.}595\mathrm{.}99$ years$5\mathrm{.}57$ years$3\mathrm{.}81$ years$+100\%$The project never pays back$\mathrm{.}3\mathrm{.}98$ years