Anika is setting up a retirement fund, and she plans on depositing $$5,200$ per year in an investment that will pay $5\%$ annual interest. How long will it take her to reach her retirement goal of $$49,655?($PV of $$1,$ FV of $$1,$ PVA of $$1,$ and FVA of $$1)($Use appropriate factor$($s$)$ from the tables provided.$)$