Janine is $35$ and has a good job at a biotechnology company. Janine estimates that she will need $$964,000$ in her total retirement nest egg by the time she is $65$ in order to have retirement income of $$28,000$ a year. $($She expects that Social Security will pay her an additional $$16,500$ a year.$)$ She currently has $$8,500$ in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of $6$ percent, and she plans to leave it untouched until she retires at age $65.$ How much money will Janine have to accumulate in her company$$s $401($k$)$ plan over the next $30$ years in order to reach her retirement income goal? Use Exhibit $1-$A$.($Round time value factor to $3$ decimal places. Round intermediate and final answer to $2$ decimal places.$)$