1. **State the problem:** Calculate the state income tax owed on a 70,000 salary using the given progressive tax rates. 2. **Understand the tax brackets:** - 0 to 24,000 taxed at 4%. - 24,001 to 52,000 taxed at 6%. - 52,001 and above taxed at 8%. 3. **Calculate tax for each bracket:** - For the first 24,000: $$24,000 \times 0.04 = 960$$ - For the next bracket (24,001 to 52,000): $$52,000 - 24,000 = 28,000$$ Tax: $$28,000 \times 0.06 = 1,680$$ - For income above 52,000 (70,000 - 52,000): $$70,000 - 52,000 = 18,000$$ Tax: $$18,000 \times 0.08 = 1,440$$ 4. **Sum all taxes:** $$960 + 1,680 + 1,440 = 4,080$$ 5. **Final answer:** The total state income tax owed on a 70,000 salary is **4,080**.