Question

In Alaya’s home state, an individual’s income tax is calculated as follows:

• 4% on any portion of income less than or equal to $10,000, plus
• 5% on any portion of income greater than $10,000 but less than or
equal to $30,000, plus
• 6% on any portion of income over $30,000.
The figure shows how the state income tax is calculated for an income of
$42,000. If Alaya paid $3200 in state income tax, what was his income?

Answer 1

The calculated value of Alaya's income is $60000

How to determine the value of Alaya's income

From the question, we have the following parameters that can be used in our computation:

State income tax = $3200

Let x represent the value of Alaya's income

Using the breakdown of the calculation of the income tax, we have

4% * 10000 + 5% * (30000 - 10000) + 6% * (x - 30000) = 3200

This gives

1400 + 6% * (x - 30000) = 3200

So, we have

6% * (x - 30000) = 3200 - 1400

6% * (x - 30000) = 1800

Divide both sides by 6% and evaluate

x = 60000

Hence, the value of Alaya's income is $60000

Answer 2

at 4200, the max tax is about 2,400 so to get to 3200 raise by 800 which is 1/3
so 1/3 of 4000
or do 16.66 times 3200 which gives u about 53333.33