Mr. Harry, who was a resident of State $Y$ for only 7 months last year, had a taxable income of $\(\$ 300,000\)$ for the year. If the state tax rate was 8 percent of the year's taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of Mr. Harry's State $Y$ tax for last year?
(A) $\(\$ 14,000\)$
(B) $\(\$ 21,000\)$
(C) $\(\$ 24,000\)$
(D) $\(\$ 28,000\)$
(E) $\(\$ 36,000\)$
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