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3 years ago

8

Which of the following are the domain and range that represent the inverse of the function f(x), given the mapping diagram of f(

x)
4 --> 14
5--->12
6-->10
7--->8

1 answer:

stich3 [128]3 years ago

6 0

Domain = (4, 5, 6, 7)
Range = (14, 12, 10, 8)

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Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-

lapo4ka [179]

She invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.

<h3><u>Distributions</u></h3>

Given that Sylvia invested a total of $27,000, and she invested part of the money in a certificate of deposit (CD) that earns 3% simple interest per year, she invested in a stock that returns the equivalent of 7% simple interest, and she invested in a bond fund that returns 2%, and she invested three times as much in the stock as she did in the CD, and earned a total of $1140 at the end of 1 yr, to determine how much principal did she put in each investment, the following calculation must be made:

9000 x 0.07 + 3000 x 0.03 + 15000 x 0.02 = 630 + 90 + 300 = 1020
9900 x 0.07 + 3300 x 0.03 + 13800 x 0.02 = 693 + 99 + 276 = 1068
12,000 x 0.07 + 4,000 x 0.03 + 11,000 x 0.02 = 840 + 120 + 220 = 1,180
11400 x 0.07 + 3800 x 0.03 + 11800 x 0.02 = 798 + 114 + 236 = 1148
10800 x 0.07 + 3600 x 0.03 + 12600 x 0.02 = 756 + 108 + 252 = 1116
11160 x 0.07 + 3720 x 0.03 + 12120 x 0.02 = 781.2 + 111.6 + 242.4 = 1135.2
11190 x 0.07 + 3730 x 0.03 + 12080 x 0.02 = 783.3 + 111.9 + 241.6 = 1136.8
11250 x 0.07 + 3750 x 0.03 + 12000 x 0.02 = 787.5 + 112.5 + 240 = 1140

Therefore, she invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.

Learn more about distribution in brainly.com/question/10250387

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2 years ago

Which of the following is in order from largest to smallest?

IRISSAK [1]

Answer:

9, 7, -1, -2

Step-by-step explanation:

-2 is smaller than -1

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3 years ago

What is the definition of A net (of a shape)

Hatshy [7]

Answer: A pure mathematics internet could be a 2-dimensional form that may be rolled-up to make a three-d form or a solid. Or a internet could be a pattern created once the surface of a solid figure is ordered out flat showing every face of the figure. A solid could have totally different nets.

Step-by-step explanation: A pure mathematics web could be a 2-dimensional form which will be closed to make a third-dimensional form or a solid. Or a web could be a pattern created once the surface of a solid figure is arranged out flat showing every face of the figure. A solid could have completely different nets.

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4 years ago

Read 2 more answers

Sophia used the Order of Operations to simplify 4(5 - 2) to 4x3.

Alchen [17]

Answer:

Yes

Step-by-step explanation:

<u>Order of operations, use the operation within the parenthesis:</u>

1) 5 - 2 = 3
2) 4*3 = 12

<u>Distributive property, a(b + c) = ab + ac:</u>

1) 4*5 - 4*2 = 20 - 8
2) 20 - 8 = 12

Both ways are correct and lead to same result

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3 years ago

Ashley and Kristin are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls

rodikova [14]

The cost of one roll of plain wrapping paper is $5 and one roll of shiny wrapping paper costs $16.

Step-by-step explanation:

Step 1; Assume that the cost of one roll of plain wrapping paper is $x and a roll of shiny wrapping paper costs $y. so we have the following equations from the given data

4x + 3y = 68, take this as equation 1.

9x + 2y = 77, take this as equation 2

Step 2; We multiply equation 1 with 2 and equation 2 with 3 so we can cancel out the variable y in both equations. By doing this we get

8x + 6y = 136, take this as equation 3,

9x + 2y = 77, this is equation 4.

If we subtract 4 from 3, we cancel out the y variable and can calculate the value of x.

-19x = -103 , x = $\frac{-95}{-19}$ = 5.

Step 3; Substituting this value of x in any of the previous equations we will get x's value. Here this value of y is substituted in equation 1.

4 (5) + 3y = 68, 20 + 3y = 68 , 3y = 48, y= 16.

So we have x = $5 and y = $16.

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3 years ago