SOLUTION: Many income tax systems are calculated using a tiered method. Under a certain a tax law, the first $100 000 of earnings are subject to 35% tax; earnings greater than $100 000 and u

Question 1134895: Many income tax systems are calculated using a tiered method. Under a certain a tax law, the first $100 000 of earnings are subject to 35% tax; earnings greater than $100 000 and up to $500 000 are subject to a 45% tax. Any earnings greater than $500 000 are taxed at 55%. Write a piecewise function that models this situation.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the piece-wise function could be written something like this.



f(x) = {.35 * 100,000 + .45 * 400,000 + .55 * (x - 500,000) if x > 500,000.
       {.35 * 100,000 + .45 * (x - 100,000) if 100,000 < x <= 500,000.
       {.35 * x if 0 < x <= 100,000

f(x) is the tax.
x is the income.

here's a reference on how to set up a piece-wise function.

https://www.mathsisfun.com/sets/functions-piecewise.html

RELATED QUESTIONS
Suppose there are no taxes on the first $14000 of income and any income above $14000 is... (answered by rfer)

Hi there, I had tried to solve this word problems...can't figure it out!! Everytime, I... (answered by solver91311)

(See Week 2 Lecture page �Piecewise-Defined Functions� for a starting point.) Income... (answered by Boreal)

chenthe income tax to be paid on a MAN's Salary is calculated as follows The first $9600 (answered by Theo)

In a certain state, the first $2500 of SMith's income is not taxed; on the next $5000 of... (answered by Theo)

A recent estimate suggested that, of all individuals and couples reporting income in... (answered by ewatrrr,MathTherapy,math_tutor2020)

(6 pts) A particular state computed income tax, T (in dollars) on a person’s income, x (answered by CubeyThePenguin)

(6 pts) A particular state computed income tax, T (in dollars) on a person’s income,... (answered by mananth,math_tutor2020)

You are in collections with CRA. As of April 30, 2019 you have an outstanding income tax (answered by ikleyn)