ZillDiffEQ$103\mathrm{.}1\mathrm{.}003.$MI$.$

The population of a town grows at a rate proportional to the population present at time $t.$ The initial population of $500$ increases by $20\%$ in $10$ years. What will be the population $($in persons$)$ in $20$ years? $($Round your answer to the nearest person.$)$

$$ persons

How fast $($in persons$/$yr$)$ is the population growing at $t=20?($Round your answer to two decimal places.$)$

$$ persons$/$yr