Problem $5$: Planning for Life

Right after graduating from LSU, you get your dream$-$job with a starting salary $$100,000$ annually $($paid at the end of each year$),$ which is expected to grow by $6\%$ every year. You plan to stay in that job for $30$ years and then retire. You choose to contribute to a $401K15\%$ of your annual salary $($along with your employer's contributions$).$ Your $401$ K is expected to make an annual return of $10\%$ until you retire. Assume annual payments and annual compounding.

Estimate your second year salary and your final annual salary before retirement.

Estimate how much money you would have in your $401$ K by the time your retire