The U$.$S$.$ government borrows money by selling Treasury bills. Treasury bills are discounted notes issued by the U$.$S$.$ government. On March $4,2003,$ Kris Greenhalgh purchased a $184-$day, $$3000$ U$.$S$.$ Treasury bill at a $4\mathrm{.}83\%$ discount. On the date of maturity Kris received $$3000.$ Complete parts a$)$ through d$).$

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a$)$ What is the date of maturity of the Treasury bill?

The date of maturity of the Treasury bill is $,2003$

b$)$ How much did Kris actually pay for the Treasury bill?

$($Round to the nearest cent$)$

c$)$ How much interest did the U$.$S$.$ government pay Kris on the date of maturity?

$s$ d$)$ What is the actual rate of interest of the Treasury bill? $($Assume a $360-$day year.$)$

$r$~~ $\%($Round to the nearest hundredth of a percent.$)$