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fenix001 [56]
3 years ago
6

Multiply and simplify the product.

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
8 0

Answer:

14 + 22i

Step-by-step explanation:


lianna [129]3 years ago
5 0
Multiplying complex numbers is a lot like multiplying binomial terms. The only relation one has to remember when dealing with complex numbers is that i² = -1.

Now let us try to multiply binomials. This is done by adding the products of the first term of the first binomial distributed to the second binomial, and the second term of the first binomial distributed to the second binomial. This is done below:

(<span>3 – 5i)(–2 + 4i)  = -6 + 12i + 10i -20i²
</span>
Simplifying and applying i²<span> = -1:</span>
-6 + 22i - 20(-1)
-6 + 22i + 20
14 + 22i

Among the choices, the correct answer is B.
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When three smaller squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares i
ICE Princess25 [194]

Answer:

i think option 2

Step-by-step explanation:

i i'm sorry if wrong

5 0
3 years ago
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In the rectangle below, AE=2x+8, CE=5x+4, and m
ICE Princess25 [194]

Answer: 2x+8=12, 5x+4=29

Step-by-step explanation:

2x2=4+8=12

5x5=25+4=29

7 0
3 years ago
1/4 (3x - 16) + 1/4x 5 1/3
slavikrds [6]
1/4(3x-16)+1/4x (times?) 5 and 1/3?? please so i can solve the problem
3 0
3 years ago
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13.At the Finch School bake sale, donuts sell
aliina [53]

Answer:

c)

Step-by-step explanation:

create a system of equations:

d + m = 104

2d + 3m = 243

now use substitution method based on 'd = 104 - m'

2(104 - m) + 3m = 243

208 - 2m + 3m = 243

208 + m = 243

m = 35

So, 35 muffins and 69 donuts were sold.

This is 34 more donuts than muffins.

7 0
3 years ago
If you are self-employed, you don't have to pay FICA on all your salary, just on 92.35% of it. If your salary is $128,255 what i
Artist 52 [7]

Answer:

The amount that I am required to pay monthly as FICA if my salary remains constant is $18,121.85¢

Step-by-step explanation:

Federal insurance contributions act is a law that mandates all employers of labour to withhold medicare and certain taxes from the wages that are paid to employees or workers. These taxes are remitted to the government later which is then used for the provision of basic amenities and quality health care.

Since, I am only required by law to pay FICA on only 92.35% of my monthly salary, we need to calculate the the actual amount that makes up 92.35 percent of my monthly salary.

If $128,255 is my current monthly salary, then 92.35% of it will be:

92.35/100 × 128,255

= 0.9235 × 128,255

= $118,443.49¢

This is the part of his monthly salary that he is required by law to pay FICA on.

Then, if FICA is 15.3% of a worker's taxable income, then I am required to pay 15.3% of the taxable $118,443.49¢ since I am self employed and mustn't pay it on the entire $128,255 that I earn monthly.

My monthly FICA contribution is then:

15.3/100 × 118,443.49

= 0.153 × 118,443.49

= $18,121.85¢.

Therefore, if my salary remains constant, the amount that I am required by law to pay monthly as FICA is $18,121.85

6 0
3 years ago
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