Monthly sales of a particular computer are expected to decline at the following rate of $S^{\text{'}}(t)$ computers per month, where $t$ is time in months and $S(t)$ is the number of computers sold each month.

$S^{\text{'}}(t)=-20t^{\frac{2}{3}}-80$

The company plans to stop manufacturing this computer when monthly sales reach $900$ computers. If monthly sales now $(t=0$ are $1,500$ computers, find $S(t).$ Use a graphing caiculator to

approximate the solution of the equation $S(t)=900.$

$S(t)=$

Use a graphing calculator to approximate the solution of the equation $S(t)=900.$

t ~~ $($Round to two decimal places as needed.$)$