Final answer:
Amelia can only be claimed as a dependent by Daniel if she provides less than half of her own support. Therefore, if Amelia provides $6,000 towards her own support, Daniel can no longer claim her as a dependent, since $6,000 is more than half of the total support amount assuming it is less than $12,000.
Step-by-step explanation:
The student has asked about the specific criteria involving dependency for tax purposes based on the context of financial support. The question can be answered within the scope of mathematics and statistics as it involves calculations to determine dependency status.
Daniel's daughter, Amelia, would not be claimed as a dependent if she provided more than half of her own support. If Daniel provided $4,000 and Amelia's total support for the year amounts to less than $8,000, then she could still be claimed as a dependent because Daniel's contribution is still half or more of her total support. However, if Amelia provided $4,001 or more towards her own support, thereby contributing more than half, she would not be considered a dependent on Daniel's tax return. Thus, the correct answer is (d) $6,000, since providing this amount would clearly place her over the half threshold.