Sarah Wiggum would like to make a single investment and have $$$$4$ million at the time of her retirement in $30$ years. She has found a mutual fund that will earn $4$ percent annually. How much will Sarah have to invest$$ today? If Sarah invests that amount and could earn a $13$ percent annual$$ return, how soon could she$$ retire, assuming she is still going to retire when she has $$$$4$million$?$percent annual return, how soon could she retire, assuming she is still going to retire when she has $$4$ million?

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To have $$4$ million at retirement, the amount Sarah must invest today is $,($Round to the nearest cent.$)$

Data table