Question I $(5$ points$)$: Time Value of Money

You plan to buy a new car in $3$ years that is projected to cost $$30,000$ at that time. To save for this purchase, you intend to invest $$5,682\mathrm{.}196$ at the end of each of the next $3$ years into a savings account that earns an annual interest rate of $6\%,$ compounded annually.

Question: How much do you need to invest today in the same savings account to have a total of $$30,000$ in $3$ years? Hint: Use the PV$()$ function in Excel. The answer should be a whole number.