Question $4(1\mathrm{.}5$ points$)$

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Let's say you just won a jackpot of $$50,000$ at the casino and would like to save a portion of it so as to have $$40,000$ to put down on a house after $6$ years. Your bank pays a $5\%$ rate of interest. How much money will you have to set aside from the jackpot winnings?

a$)$ $$29,890\mathrm{.}33$

b$)$ $$29,848\mathrm{.}62$

c$)$ $$29,869\mathrm{.}34$

d$)$ $$29,830\mathrm{.}72$