Chapter 5.3, Problem 48E

Profits An investment services company experienced dramatic growth in the last two decades. The following models for the company’s revenue R and expenses or costs C (both in millions of dollars) are functions of the years past 1990.

$R\left(t\right)=21.4e^{0.131t}\text{and }C(t)=18.6e^{0.131t}$

Use these models in Problems 47 and 48.

Use the models to find how long before the company’s profit reaches $500 million.