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Ayana has $\$400$ in a savings account that earns $10\%$ interest per year. The interest is not compounded. How much will she have in total in $1$ year? 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. $\$$_____