At age $25,$ Jessie graduated from college. Immediately afterwards, she started her first full$-$time job. Although she had to sacrifice, she decided to contribute $$2,000$ a year to her employer$$s Roth $401$k plan. She researched employment offers and decided to take job with a company that matched her $401$k contribution. Therefore, $$4,000$ was contributed each year until she retired at age $65.$ For $40$ years, $$4,000$ was invested into an S&P $500$ stock fund within her Roth IRA and it earned a return of $8\%$ per year.

$5.$ At age $65,$ how much money has Jessie herself contributed to her Roth $401$k account? How much money has Jessie$$s employer contributed into her Roth $401$k account?

$6.$ At age $65,$ what is the balance of Jessie$$s IRA $($include both contributions and earnings from both her and her employer$)?$