Preheat your oven to 350°F (175°C). Grease and flour a 9-inch round cake pan.
In a large bowl, cream together the AHS, butter, and sugar until light and fluffy.
Add the eggs one at a time, beating well after each addition. Stir in the vanilla.
In another bowl, whisk together the flour, baking powder, and salt.
Gradually add to the creamed mixture alternately with the milk, beginning and ending with the flour mixture.
Mix just until incorporated.
Pour the batter into the prepared pan and smooth the top.
Bake for 30-35 minutes, or until a toothpick inserted into the center comes out clean.
Cool in the pan for 10 minutes, then turn out onto a wire rack to cool completely.