Sarah Wiggum would like to make a single investment and have $$$$2\mathrm{.}7$ million at the time of her retirement in $40$ years. She has found a mutual fund that will earn percent annually. How much will Sarah have to invest$$ today? If Sarah invests that amount and could earn a $14$ percent annual$$ return, how soon could she$$ retire, assuming she is still going to retire when she has $$$ $2\mathrm{.}7$million$?$To have $$$$2\mathrm{.}7$ million at$$ retirement, the amount Sarah must invest today is $$$