Is the USA a democracy or a republic?

Democratic republic since the people vote for the senators and president. 

its both... surely you must know this

a)  America is a constitutional republic.

b)  America is not, and has never been, a democracy or a free country going back to the Pilgrims.

c)  America espouses democracy but does not practice it at home and certainly apposes it in other countries often supporting and/or installing, right wing military dictatorships.

It is obviously both - a democratic republic.  It only has a two-party system because that's what you tend to get with "first past the post" voting - as only the candidate with most votes wins and a vote for anyone else is wasted, little parties have no chance of winning so the natural tendency is to end up with two.

It is a democratic republic. If we can keep it.

"There is a story, often told, that upon exiting the Constitutional Convention Benjamin Franklin was approached by a group of citizens asking what sort of government the delegates had created. His answer was: 'A republic, if you can keep it.'"

Democratic Republic. The people elect the representatives.

Its both. A Republic is a KIND of Democracy.

It's a Constitutional republic. The founder openly spoke against democracy.

It's a representative democracy, which is a republic.