SOLUTION: (See Week 2 Lecture page �Piecewise-Defined Functions� for a starting point.) Income tax in a particular country is calculated according to the following rate schedule: 5% on t

Question 1063351: (See Week 2 Lecture page �Piecewise-Defined Functions� for a starting point.) Income tax in a particular country is calculated according to the following rate schedule:
5% on the first $19,000 of income
13% on the next $28,000 of income
21% on any further income
a. How much income tax should be paid by someone making $31,300?
b. How much income tax should be paid by someone making $71,900?
c. Construct a piecewise function that gives the tax for $x of income
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
$31,300 is partitioned into
$19,000@ 5%=$950
$12,300@ 13%=$1599
Total is $2549.
--------------------------
For $71,900
$19,000 @5%=$950
$28,000@12%=$3360
$24,900@21%=$5229
Total=$9539.
------------------------
For x<= $19,000, it is 0.05x
For $19,000 < x < =$47,000, it is $950+ 0.13(x-19,000)
For x> $47,000, it is $4310+0.21 (x-47,000)
RELATED QUESTIONS
34. (See Week 4 Lecture page �Solving Rational Inequalities� for a starting point.)... (answered by josgarithmetic,MathTherapy,ikleyn)

(See Week 5 Lecture page �Composite Functions� for a starting point.) The population of... (answered by solver91311)

22. (See Week 5 Lecture page �Composite Functions� for a starting point.) The population (answered by Theo)

22. (See Week 5 Lecture page �Composite Functions� for a starting point.) The... (answered by Fombitz)

21. (See Week 4 Lecture page �Solving Rational Inequalities� for a starting point.)... (answered by ikleyn)

For income x (in dollars), a particular state's income tax T (in dollars) is given by the (answered by ikleyn)

if you earned up to 5,000,000 in 2016 from an employer, your social security tax rate was (answered by Theo)

Dear Sir/Madam, I am confronted with the following problem: "A certain state... (answered by prince_abubu)