$.$ Lucy is $17$ years old and a dependent of her parents. She receives $$9,000$ of wages from a part$-$time job and $$10,400$ of taxable interest from regular bonds she inherited. Lucy saves all income she makes and doesn$$t use it for her support. Determine the amount of the tax liability applicable to Lucy, including any possible kiddie tax. Her parents$$ marginal rate of taxation is $24\%.$