Let's compute the total tax owed on an income of $50,000 using the tax rates provided. The tax rates are structured progressively, so we will calculate the tax owed for each income range step-by-step until we reach $50,000.

Tax brackets:

1. 4% on the first $8,300:
   $\text{Tax} = 0.04 \times 8,300 = 332$

2. 4.75% on the next $3,100 (income between $8,301 and $11,400):
   $\text{Tax} = 0.0475 \times 3,100 = 147.25$

3. 5.25% on the next $2,250 (income between $11,401 and $13,650):
   $\text{Tax} = 0.0525 \times 2,250 = 118.13$

4. 5.9% on the next $7,100 (income between $13,651 and $20,750):
   $\text{Tax} = 0.059 \times 7,100 = 419.90$

5. 6.45% on the next $29,250 (income between $20,751 and $50,000):
   Since the income falls within this bracket and reaches $50,000, we calculate the tax for the remaining amount: $50,000 - 20,750 = 29,250$ $\text{Tax} = 0.0645 \times 29,250 = 1,886.63$

Total tax calculation:

Now, we sum up the taxes from all brackets to find the total tax due on $50,000:

$\text{Total tax} = 332 + 147.25 + 118.13 + 419.90 + 1,886.63 = 2,903.91$

Final Answer:

The total tax owed on an income of $50,000 is $2,903.91.

Explanation:

This means a tax of $2,903.91 was due on an income of $50,000.

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Would you like more details or have any further questions? Here are five follow-up questions:

1. How would the tax change if the income were $60,000?
2. How is the total tax affected by increasing each income bracket by 10%?
3. What is the tax rate applied to an income of $120,000?
4. How would the total tax compare if the person were filing jointly with another individual?
5. What would be the marginal tax rate for an income of $200,000?

Tip: When calculating taxes in a progressive tax system, always apply each rate to the corresponding income range, not the entire income!