Annual net sales. Green Mountain Coffee Roasters produces many varieties of flavored coffees, teas, and K-cups. Since 2008, the net sales S of the company have grown exponentially at the rate of 46.3% per year. This growth can be approximated by dS/dt​=0.4635, where t is the number of years since 2008.

Find the function that satisfies the equation, given that net sales in 2008 (t=0) were approximately $500,000.