Algoe expects to invest $$2,500$ annually for $15$ years to yield an accumulated value of $$62,822\mathrm{.}50$ 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)$

Note: Use appropriate factor$($s$)$ from the tables provided. Round "Table Factor" to $4$ decimal places.

$\backslash$table$[[$Future Value,,Annuity Payment,Table Factor,Interest Rate,$],[,,,,,]]$