Yes, but leftists like Michelle Obama will forever misapply the word "democracy" to describe the American system of government because in Marxist theory, power is based on a rising up of "the masses."
The most thorough answer came from James Madison, who said that our form of government is an “Extended Limited Commercial Federal Democratic Republic.”
I thought I was well versed in American history, but I never heard of that exact quote from Madison. What is your source for it?