1971 AHSME Problem 13

If (1.0025)^{10} is evaluated correct to 5 decimal places, then the digit in the fifth decimal place is

\textbf{(A) }0\qquad \textbf{(B) }1\qquad \textbf{(C) }2\qquad \textbf{(D) }5\qquad \textbf{(E) }8

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