$6.$ How much do you have to deposit today so that you can withdraw $$50,000$ a year at the end of years $5$ through $9,$ and $$25,000$ at the end of year $10?$ Assume that you can earn an annual rate of $8$ percent.

a$)$ $$170,983$ d$)$ $$158,318$

b$)$ $$146,591$ e$)$ $$159,243$

c$)$ $$146,737$

$($please solve using financial calculator and relevant formula. the correct answer is d$158318)$