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gladu [14]
3 years ago
6

Change 46/6 into a whole number

Mathematics
1 answer:
masya89 [10]3 years ago
7 0
Change 46/6 into a whole number
<span>

mixed number: </span>7 4/6
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What complex number is represented by the polar coordinates (4, -pi/4)
nexus9112 [7]

Answer:

\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}

Step-by-step explanation:

A complex number is defined as z = a + bi. Since the complex number also represents right triangle whenever forms a vector at (a,b). Hence, a = rcosθ and b = rsinθ where r is radius (sometimes is written as <em>|z|).</em>

Substitute a = rcosθ and b = rsinθ in which the equation be z = rcosθ + irsinθ.

Factor r-term and we finally have z = r(cosθ + isinθ). How fortunately, the polar coordinate is defined as (r, θ) coordinate and therefore we can say that r = 4 and θ = -π/4. Substitute the values in the equation.

\displaystyle \large{z=4[\cos (-\frac{\pi}{4}) + i\sin (-\frac{\pi}{4})]}

Evaluate the values. Keep in mind that both cos(-π/4) is cos(-45°) which is √2/2 and sin(-π/4) is sin(-45°) which is -√2/2 as accorded to unit circle.

\displaystyle \large{z=4\left(\frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2}i \right)}\\\\\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}

Hence, the complex number that has polar coordinate of (4,-45°) is \displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}

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The sum of 2 numbers is 10 the difference is 6 what are the numbers calculator
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Suppose there is a simple index of two stocks, stock A and stock B. Stock A opens on Monday with 5000 shares at $2.75 per share.
Yanka [14]

Answer:

Step-by-step explanation:

What is the name of an investment that pools money from many investors in order to acquire a large variety of stocks, bonds, and other investments?

A.

Mutual fund

close

B.

Annuity

C.

Derivative

closeIncorrect

done

Question 2

2 points

What is the name of the computerized system that provides price quotations for various stocks traded on the market?

A.

NYSE

done

B.

Nasdaq

C.

Dow Jones

doneCorrect

done

Question 3

2 points

On a particular day, the Dow Jones had a rate of change of 2.8%. Which of the following statements must also be true?

A.

The Nasdaq decreased.

B.

The S&P 500 increased.

done

C.

The average of the 30 stocks in the Dow Jones increased.

D.

Every stock in the Dow Jones increased.

doneCorrect

done

Question 4

2 points

At the beginning of the day, stock XYZ opened at $3.72. At the end of the day, it closed at $4.05. What is the rate of change of stock XYZ?

A.

9.8%

done

B.

8.9%

C.

4.1%

D.

3.7%

doneCorrect

done

Question 5

2 points

What is the name of the federal agency that regulates the investment industry?

A.

NYSE

done

B.

SEC

C.

S&P 500

doneCorrect

done

Question 6

2 points

At the beginning of the day, the sum of the stocks in the Dow Jones was $10,289.57. At the end of the day, the sum of the stocks in the Dow Jones was $10,124.19. What was the rate of change of the Dow Jones on this particular day?

A.

-1.8%

B.

-1.0%

done

C.

-1.6%

D.

-1.2%

doneCorrect

done

Question 7

2 points

Suppose there is a simple index of three stocks, stock ABC, stock XYZ, and stock QRS. Stock ABC opens on day 1 with 5000 shares at $3.25 per share. Stock XYZ opens on day 1 with 500 shares at $8.25 per share. Stock QRS opens on day 1 with 10,000 shares at $4.75 per share. The price of stock ABC on day 8 begins at $2.80. The price of stock XYZ on day 8 begins at $7.50. Stock QRS opens on day 8 with a price of $4.10 per share. Assume that each stock has the same number of shares that it opened with on day 1. What is the rate of change of this simple index over 1 week?

A.

15.5%

B.

13.4%

C.

-15.5%

done

D.

-13.4%

doneCorrect

done

Question 8

2 points

What is the name of indicator of stock market prices that is the average of 30 selected industrial stocks?

done

A.

Dow Jones

B.

SEC

C.

S&P 500

doneCorrect

done

Question 9

2 points

Suppose there is a simple index of three stocks, stock X, stock Y, and stock Z. Stock X opens the day with 2000 shares at $3.80 per share. Stock Y opens the day with 1000 shares at $3.50 per share. Stock Z opens the day with 3000 shares at $4.30 per share. This simple index rises 5.4% over the course of the day. What is the value of the index at the end of the day? Round your answer to the nearest hundred.

A.

$25,800

B.

$24,600

done

C.

$25,300

D.

$24,000

doneCorrect

close

Question 10

0 points

Suppose there is a simple index of two stocks, stock A and stock B. Stock A opens on Monday with 5000 shares at $2.75 per share. Stock B opens on Monday with 3000 shares at $4.30 per share. Stock A opens on Tuesday at $3.10 per share, and stock B opens on Tuesday at $4.85 per share. Both stocks have the same number of shares that they opened with on Monday. What is the rate of change of this simple index over 1 day?

A.

-11.3%

close

B.

-12.8%

C.

12.8%

D.

11.3%

closeIncorrect

4 0
2 years ago
Read 2 more answers
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