Financial analysts recommend investing $15\%$ to $20\%$ of your annual income in your retirement fund to reach a replacement rate of $70\%$ of your income by age $65.$ This recommendation increases to almost $30\%$ if you start investing at $45$ years old. Mallori Rouse is $27$ years old and has started investing $$3,800$ at the end of each year in her retirement account. How much will her account be worth in $20$ years at $8\%$ interest compounded annually? How much will it be worth in $30$ years? What about at $40$ years? How much will it be worth in $50$ years? $($Please use the following provided Table $13\mathrm{.}1.)$

Note: Do not round intermediate calculations. Round your answers to the nearest whole dollar amount.