At the beginning of year 1, an investor puts $p$ dollars into an investment whose value increases at a variable rate

At the beginning of year 1, an investor puts $p$ dollars into an investment whose value increases at a variable rate of $x_n$ per year, where $n$ is an integer ranging from 1 to 3 indicating the year. If $85<x_n<110$ for all $n$ between 1 and 3, inclusive, then at the end of 3 years, the value of the investment must be between

A. $\$p$ and $\$2p$
B. $\$2p$ and $\$5p$
C. $\$5p$ and $\$10p$
D. $\$10p$ and $\$25p$
E. $\$25p$ and $\$75p$

Answer: C

Source: Manhattan GMAT

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