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Mariana [72]
3 years ago
15

12. The square and rectangle shown below have the same perimeter length Show that the length of the rectangle (3x + 1) centimetr

es

Mathematics
1 answer:
anygoal [31]3 years ago
8 0
Lets call the perimeter P and the length of the rectangle l.  The first figure is a square with side length 2x + 2 so P = 4(2x + 2) = 8x + 8.  For the rectangle, P = 2l + 2(x + 3) = 2l + 2x + 6.  These values both equal P so they must equal each other.  8x + 8 = 2l + 2x + 6.  Now we have to solve for l.  

8x + 8 = 2l + 2x + 6  
8x + 2 = 2l + 2x
6x + 2 = 2l
3x + 1 = l
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Answer:

Step-by-step explanation:

(–1)8 + (–1)7 + –16 + –14 – (–1)2 = -8 -7 -16 -14 +2 = -45+2 = - 43

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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.
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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?

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Mutual fund

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Question 2

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

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Question 3

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

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The Nasdaq decreased.

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Question 4

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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?

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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?

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Question 7

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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?

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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?

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4 0
3 years ago
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lara31 [8.8K]

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8 0
3 years ago
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The average marks of the first 10 students are 17 and that of the next 15 students is 18. find the mean of 25 students?
Ray Of Light [21]

Answer:

The mean of 25 students is 17.6

Step-by-step explanation:

The formula of the mean (average) is mean (average) = \frac{S}{N} , where S is the sum of the data, and N is the number of the data

∵ The average marks of the first 10 students are 17

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∴ N = 10

∵ Average = \frac{S}{N}

- Substitute average by 17 and N by 10

∴ 17 = \frac{S}{10}

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∴ 170 = S

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∵ The average of the next 15 students is 18

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∵ S = 170 + 270

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∴ Mean = \frac{440}{25}

∴ Mean = 17.6

The mean of 25 students is 17.6

3 0
3 years ago
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