Answer: A, C
Carbonate and phosphate are anions of weak acids and are protonated by acetic acid, so BaCOX3 and Mg(NHX4)POX4 dissolve. CaCX2OX4 is insoluble in acetic acid (it needs a mineral acid), and BaSOX4 is insoluble in dilute acids because sulphate is the anion of a strong acid.