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Sedaia [141]
3 years ago
9

Boris is a web developer. His annual gross salary is $45,000. From this, he must pay social security (calculated as 10% of his g

ross pay) plus income tax (on the gross pay before the social security deduction).
There is a progressive tax system for calculating income tax, where the first $10,000 is tax free, and anything above $10,000 is taxed at 25%.

What is his take home pay? Round your answer to the nearest dollar.
Mathematics
2 answers:
vovangra [49]3 years ago
5 0

Answer:

31,750

Step-by-step explanation:

Social Security = $45,000 x 10% = $45,000 x 10/100 = $4,500

Income tax = $(45,000 - 10,000) x 25% = $35,000 x 25/100 = $8,750

Take Home Pay = $45,000 - $4,500 - $8,750 = $31,750

Semenov [28]3 years ago
3 0

Answer: $32,625

Step-by-step explanation:

40,000-10,000 = 35,000 ---> how much is taxed

35,000 x .25 = 8,750 = income tax

45,000 - 8,750 = 36,250

36,250 x .1 = 3,625 ---> social security

45,000 (gross pay) - 8,750 (income tax) - 3,625 = 32, 625

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V125BC [204]

Answer:

  • 10%: 30 mL
  • 40%: 30 mL

Step-by-step explanation:

The needed concentration is exactly halfway between the available concentrations, hence they must be mixed equally.

He should mix 30 mL each of the 10% and 40% solutions.

_____

The first step in solving any problem is to look at the given information, and at what is being asked for. Here, the mix that is being asked for is exactly halfway between the given concentrations, so you know without any further contemplation that the mix will be 50%/50% of each.

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If the mix were something else, there are several ways the problem can be solved. I like to use a diagram that puts the available concentrations on the left in a column with the highest on top, the needed concentration in the next column in the middle, and the differences of these numbers on the diagonals in the right column.

<u>Example</u>: if the needed mix is 15%, the diagram would look like ...

   40            5

          15

   10           25

The numbers on the right tell you the proportions required (5:25 = 1:5). For this example, you need 1 part 40% solution and 5 parts 10% solution to make a mix that is 15%. That's a total of 6 parts, so each "part" is 10 mL for 60 mL of solution.

We chose this example so every number in the diagram is different, so you could see how the instructions for use apply.

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Another way to solve this is to let a variable represent the amount needed of <em>the highest concentration</em>. If we let that variable be x, for the given problem, we can write the equation for the amount of acid in the mix as ...

  40%(x) + 10%(60 -x) = 25%(60)

  0.30x = 9 . . . . . . . . subtract 6, simplify

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6 0
2 years ago
Find the value of cos E rounded to the nearest hundredth, if necessary. please help thanks
bonufazy [111]

Answer:

cos(E)=0.8

Step-by-step explanation:

cos(E)=adjacent/hypotenuse

Using a common pythagorean triple, we can find that side GE is 30 (18^2+24^2=30^2)

Then we just get cos(E)=24/30, which is 0.8

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8

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There are 2 cheeses, american and cheddar, and 4 meats, ham, bologna, turkey, and chicken. For every cheese, there are 4 options of meat. So then there are 2*4=8 sandwiches. If you are familliar with this concept, just multiply 2 and 4.

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Step-by-step explanation:

4 * 50% = 2

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Refer to the diagram below

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3 years ago
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