My 20 year old full time student that lives at home made $8700 can I still claim her?

[xmasbaby0]

Yes, you can still claim a 20 year old full-time college student even if she earned over $4050.  She can prepare her own tax return, but must indicate on it that she can b e claimed as a dependent on someone else's tax return.  Since she is your dependent, you can enter any college tuition credits, etc. on your own return.