Bill Padley expects to invest $$16,000$ for $3$ years, after which he wants to receive $$20,155,20.$ What rate of interest must Padley 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,,Present Value,,Table Factor,Interest Rate$],[,+,,=,,\%$