please show work and a breif explanation. the class is engineering economics

please show work, table and a reverse table, diagram and factors. please provide a breif explanation. the class is engineering economics

10. You recently graduated from NMSU with your hard-earned engineering degree and landed your dream job. Now that you have a steady paycheck, you think back to the semester you took IE 451 and the significance of compound interest and decide that you would like to start contributing to a retirement fund. Your current salary is $80,000 and you expect that to increase by 5% each year. What will the present worth of your retirement fund be after 35 years if it earns 5% per year and you contribute 15% of your salary each year? Diagram the cash flows; solve; prove your solution is correct by taking your answer and working backwards, using your solution, construct a table that includes balances, and interest; and explain your solution. (10 pts)