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If "C" starts with initial value "C1" and it grows or decays at the rate of "r" every "n" time, then the function that models the growth or the decay of "C" is [tex]C = C_1\cdot {(r)}^n [/tex] and [tex]C = C_1\cdot {(1-r)}^n [/tex], respectively. I know this makes sense but how do you derive such a forumla?