You want to have $$30,000$ saved $5$ years from now to buy a house. How much less do you have to deposit today to reach this goal if you can earn $3\mathrm{.}5$ percent rather than $2\mathrm{.}5$ percent on your savings? Today's deposit is the only deposit you will make to this savings account. $($Assume annual compounding.$)$

You want to have $$30,000$ saved $5$ years from now to buy a house. How much less do you have to deposit today to reach this goal if you can earn $3\mathrm{.}5$ percent rather than $2\mathrm{.}5$ percent on your savings? Today's deposit is the only deposit you will make to this savings account. $($Assume annual compounding.$)$

$$1,256\mathrm{.}43$

$$891\mathrm{.}18$

$$1,219\mathrm{.}02$

$$1,124\mathrm{.}60$

$$945\mathrm{.}11$