Challenge Problem $11-23($Algo$)[$LU $11-1(4)]$ Assume that $3-$month Treasury bills totaling $\backslash (\backslash$$ $32\backslash )$ billion were sold in $\backslash (\backslash$$ $10,000\backslash )$ denominations at a discount rate of $\backslash (6\mathrm{.}650\backslash \%\backslash ).$ In addition, the Treasury Department sold $6-$month bills totaling $\backslash (\backslash$$ $30\backslash )$ billion at a discount rate of $\backslash (6\mathrm{.}595\backslash \%\backslash ).$ a$.$ What is the discount amount for a $\backslash (\backslash$$ $10,000\backslash )3-$month bill? Note: Do not round intermediate calculations. Round your final answer to the nearest cent. Answer is complete and correct. b$.$ What is the discount amount for a $\backslash (\backslash$$ $10,0006\backslash )-$month bill? Note: Do not round intermediate calculations. Round your final answer to the nearest cent. Answer is complete but not entirely correct. c$.$ What is the effective rate for a $\backslash (\backslash$$ $10,000\backslash )3-$month bill?

Note: Do not round intermediate calculations. Round your final answer to the nearest hundredth percent.

d$.$ What is the effective rate for a $\backslash (\backslash$$ $10,000\backslash )6-$month bill?

Note: Do not round intermediate calculations. Round your final answer to the nearest hundredth percent.