2000 AMC 10 Problem 17

Boris has an incredible coin changing machine. When he puts in a quarter, it returns five nickels; when he puts in a nickel, it returns five pennies; and when he puts in a penny, it returns five quarters. Boris starts with just one penny. Which of the following amounts could Boris have after using the machine repeatedly?

\textbf{(A) } 3.63 \qquad \textbf{(B) } 5.13 \qquad \textbf{(C) } 6.30 \qquad \textbf{(D) } 7.45 \qquad \textbf{(E) } 9.07$

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.