At the end of each year, the value of a certain antique watch is "\(c\)" percent more than its value one year earlier, where "\(c\)" has the same value each year. If the value of the watch was \(k\) dollars on January 1, 1992, and \(m\) dollars on January 1, 1994, then in terms of \(m\) and \(k,\) what was the value of the watch, in dollars, on January 1, 1995?

A. \(m+\dfrac1{2(m-k)}\)
B. \(m+\dfrac1{2\frac{m-k}{k}m}\)
C. \(\dfrac{m\sqrt{m}}{\sqrt{k}}\)
D. \(\dfrac{m^2}{2k}\)
E. \(km^2\)

[spoiler]OA=C[/spoiler]

Source: Veritas Prep