In USA there are seven federal tax brackets for the 2020 tax year: 10%, 12%, 22%, 24%, 32%, 35% and 37%. Your bracket depends on your taxable income and filing status. These are the rates for taxes due in April 2021 if you are a single filer.   Taxable Income Tax Rate $0 to $9,875 10% $9,876 to $40,125 12% $40,126 to $85,525 22% $85,526 to $163,300 24% $163,301 to $207,350 32% $207,351 to $518,400 35% $518,401 or more

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question No. 2:

Part – A:                                                                                                                           Marks [3]

In USA there are seven federal tax brackets for the 2020 tax year: 10%, 12%, 22%, 24%, 32%, 35% and 37%. Your bracket depends on your taxable income and filing status. These are the rates for taxes due in April 2021 if you are a single filer.

 

Taxable Income

Tax Rate

$0 to $9,875

10%

$9,876 to $40,125

12%

$40,126 to $85,525

22%

$85,526 to $163,300

24%

$163,301 to $207,350

32%

$207,351 to $518,400

35%

$518,401 or more

37%

Table 2

 

  1. Create a Mathematical Model that represents the aforementioned information to calculate the annual income tax of each slab.
  2. How much annual income tax you will have to pay if your monthly taxable income is $13,750.

 

Part – B:                                                                                                                            Marks [2]

A major city wants to establish a sinking fund to pay off debts of PKR 800 million which come due in 10 years. The city can earn interest at the rate of 8 percent per year compounded monthly. If first deposit is made 1 month from now;

  1. What monthly deposit will be required to accumulate the PKR 800 million?
  2. How much interest will be earned on these deposits

 

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