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Brrunno [24]
3 years ago
15

The population of Anytown is 8000. It is predicted to increase by 5% in one year. What is the predicted population after one yea

r?
Mathematics
2 answers:
solmaris [256]3 years ago
8 0
800 is what I think
tatyana61 [14]3 years ago
7 0
8,000 + (5% x 8,000)=
(1 + 5%) x 8,000=
(100% + 5%) x 8,000=
105% x 8,000=
105 / 100 x 8,000=
105 x 8,000 / 100=
840,000 / 100=
The answer would be 8,400
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solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+
Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.

Write the augmented matrix for the system of equations

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)

Find the reduced row-echelon form of the augmented matrix for the system of equations:

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)

Thus, the system of three equations is

\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.

From the last equation:

y=-6

Substitute it into the second equation:

16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3

Substitute y = -6 and z = -3 into the first equation:

x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5

7 0
3 years ago
Write the slope-intercept form of the equation of the line through the given point with the given slope.
Alexandra [31]

The slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.

The given coordinate point is (-1, 5) and slope=-4.

<h3>What is the slope intercept form?</h3>

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Substitute (x, y)=(-1, 5) and m=-4 in standard form of the slope intercept form, we get

5=-4×(-1)+c

⇒ c=5-4

⇒ c=1

Substitute m=-4 and c=1 in y=mx+c, we get

y=-4x+1

Therefore, the slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.

To learn more about the slope intercept form visit:

brainly.com/question/9682526.

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4 0
1 year ago
Which type of statement switches and negates the hypothesis and the conclusion of the original conditional statement?
valentinak56 [21]
Inverse

Inverse - is a conditional statement that NEGATES both the hypothesis and the conclusion of the original conditional statement.
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3 years ago
Which problem can be solved using 3x7=21 give me a example
Flauer [41]

Answer:

21/7= 3

Step-by-step explanation:


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HELP WILL MARK YOU BRAINLIEST JUST GIVE THE ANSWER NO EXPLANATION!!! NO GUESSes!!!
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Answer:

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Step-by-step explanation:

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