Bill Padley expects to invest $$16,000$ for $6$ years, after which he wants to receive $$18,019\mathrm{.}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.