Chapter 5.3, Problem 76ES

A population of minnows in a lake is estimated to be $100,000$ at the beginning of the year $2015$ . Suppose that $t$ years after the beginning of $2015$ the rate of growth of the population $p\left(t\right)$ (in thousands) is given by $p^{\prime }\left(t\right)={\left(3+0.12t\right)}^{3/2}$ . Estimate the projected population at the beginning of the year $2020$ .