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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

In a certain country, income tax is assessed as follows. There is no tax on income up to$10,000. Any income over $10,000 is taxed at a rate of 10%, up to an income of $20,000. Any income over $20,000 is taxed at 15%.

(a) Sketch the graph of the tax rate R as a function of the income I.

(b) How much tax is assessed on an income of $14,000? On $26,000?

(c) Sketch the graph of the total assessed tax T as a function of the income I.

(a)

To determine

To sketch: The graph of the tax rate R as a function of the income I.

Explanation

Let the amount of an income be $x.

According to the given data, the tax rate (R) is charged as follows.

If x<$10,000 , then the tax rate R(%) is 0.

If $10,000x<$20,000 , then the tax rate R(%) is 10%.

If x>$20,000 , then the tax rate R(%) is 15%

(b)

To determine

To find: The tax payable for the income of $14,000 and $26,000.

(c)

To determine

To sketch: The graph of the total assessed tax (T) as a function of the income (I).

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