Bill Padley expects to invest $$13,000$ for $8$ years, after which he wants to receive $$16,468\mathrm{.}40.$ What rate of interest must Padley 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.$)$