Green Mountain Coffee Roasters produces many varieties of flavored coffees, teas, and K-cups. The net sales S of the company have grown exponentially at the rate of 36.1% per year, and the growth can be approximated by

dS/dt​=0.361S

where t is the number of years since 2004.

Find the function that satisfies the equation, given that net sales in 2004 (t=0) were approximately $120,400.