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Megan has $\$100$ in a savings account. The interest rate is $5\%$ per year and is not compounded. How much interest will she earn in $3$ years? $\newline$Use the formula $i = prt$, where $i$ is the interest earned, $p$ is the principal (starting amount), $r$ is the interest rate expressed as a decimal, and $t$ is the time in years.$\newline$$\$$_____