The Gompertz model has been used $to$ model population growth.

$\frac{dy}{dt}=ryln(\frac{K}{y})$

where $r=0\mathrm{.}75$ per year, $K=32,400kg,\frac{y_0}{K}=0\mathrm{.}19,y(0)=y_0.$

Use the Gompertz model $to$ find the predicted value $ofy(7).$

Round the value $to$ the nearest integer.

$y(7)=$