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frez [133]
3 years ago
11

Bert earns $35,000 gross annual salary. In Bert's jurisdiction there is a progressive tax system with rules as follows: Any amou

nts earned up to $20,000 are taxed at x%. Any amounts earned beyond $20,000 are taxed at 20%. Given that Bert pays $4,500 per annum in income tax, calculate x. Give your answer to the nearest tenth of a percent. Do not include the percent symbol in your answer.
Mathematics
1 answer:
Bogdan [553]3 years ago
5 0

Answer:

7.5

Step-by-step explanation:

Given;

  • Bert earns $35,000 gross annual salary
  • Any amounts earned up to $20,000 are taxed at x%
  • Any amounts earned beyond $20,000 are taxed at 20%
  • Bert pays $4,500 per annum in income tax

To find x

Amount earned beyond $20,000

= $35,000 - $20,000

= $15,000

That is the amount to be taxed at 20%

Therefore,

x% × 20000 + 20% × 15000 = 4500

200x + 3000 = 4500

200x = 4500 - 3000

200x = 1500

x = 1500/200

x = 7.5

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When using the binomial formula, which of the following is a correct step in the expansion of (x+y)^4 ?
avanturin [10]
Here is the expansion of <span>(x + y)n </span><span>for </span><span>n = 0, 1,…, 5</span><span> :</span>

<span>(x + y)0 = 1</span> 
<span>(x + y)1 = x + y </span>
<span>(x + y)2 = x 2 +2xy + y 2 </span>
<span>(x + y)3 = x 3 +3x 2 y + 3xy 2 + y 3 </span>
<span>(x + y)4 = x 4 +4x 3 y + 6x 2 y 2 +4xy 3 + y 4 </span>
<span>(x + y)5 = x 5 +5x 4 y + 10x 3 y 2 +10x 2 y 3 +5xy 4 + y 5 
</span>
hopefuly this helps you understand


7 0
3 years ago
Meg read a book in 3 weeks,2 days, and 3 hours. how many hours did she spend reading a book I need help
san4es73 [151]
Shesp ends reading 219 hours reading that book
5 0
3 years ago
Anely and Sandra get paid per project. Anely is paid a project fee of $40 plus $11.50 per hour. Brenda is paid a project fee of
alexdok [17]

Answer:

$68 to hire and 28.25 per hour to hire both

Step-by-step explanation:

7 0
2 years ago
If <br><img src="https://tex.z-dn.net/?f=36%20%5E%7B12%20-%20m%7D%20%3D%206%5E%7B2m%7D%20" id="TexFormula1" title="36 ^{12 - m}
Katyanochek1 [597]

Answer:

6

Step-by-step explanation:

6^{2(12-m)}=6^{2m}\\2(12-m)=2m\\24-2m=2m\\24=4m\\m = 6

8 0
3 years ago
Jake can mulch a garden in 30 minutes. together, jake and ross can mulch the same garden in 16 minutes. how much time t, in minu
Gelneren [198K]

"Jake can mulch a garden in 30 minutes." So, for 1 min Jake can mulch 1/30 part of a garden.

Ross can mulch the park for x minutes. So, for 1 min Jake can mulch 1/x part of a garden.

If they work together, for 1 min they will mulch (1/30 + 1/x) part of the garden.

At the same time, we know, that of they work together they can mulch the garden in 16 min, so for 1 min they will mulch 1/16 part of the garden.

Now, we can write an equation

\frac{1}{30}  + \frac{1}{x} = \frac{1}{16}  \\ \\ \frac{1}{x} = \frac{1}{16} - \frac{1}{30}  \\ \\ \frac{1}{x} =\frac{30-16}{16*30}  \\ \\ \frac{1}{x} =\frac{14}{16*30}  \\ \\x=\frac{16*30}{14}

x≈34.3 (min)

8 0
3 years ago
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