Algoe expects to invest $$1,600$ annually for $15$ years to yield an accumulated value of $$37,241\mathrm{.}60$ on the date of the last investment.

For this to occur, what rate of interest must Algoe earn? $($PV of $$1,$ FV of $$1,$ PVA of $$1,$ and FVA of $$1)($Use appropriate factor$($s$)$ from

the tables provided. Round "Table Factor" to $4$ decimal places.$)$