You know you are receiving $$4,000$ for $5$ weeks but need cash today. You decide to borrow

money today. Interest on the loan is compounded on daily and interest is $22\mathrm{.}5\%$ per year. You

will pay back the loan at maturity $($in $5$ weeks$)$ and will make no payments until then. How much

will you be able to borrow today, if you plan to use the $$4,000$ to pay back the loan and interest?

Hint: Assume a $365$ day year.