Answer:
It represents that Carmela's salary increases 5 percent each year.
Step-by-step explanation:
Her salary is modeled by the following function:
So
This means that for each year, Carmela's next year salary is going to 1.05 of this year.
So, in the context of this problem, the number 1.05 represents that Carmela's salary increases 1.05-1 = 0.05 = 5 percent each year.
Answer:
(a)
(b)
(c)
Step-by-step explanation:
Solving (a):
Take LCM
Multiply through by 20
Solve for x
Solving (b):
This gives:
Solve for x
Solving (c):
Multiply both sides by
A composite transformation is the production of the image of a figure through two or more transformation
The set of transformations that could be applied to rectangle ABCD to create rectangle A'B'C'D' is the second option;
The reason the above selected option is correct is as follows:
Known parameters:
The given coordinates of the vertices of the preimage of the rectangle ABCD are; A(-4, 2), B(-4, 1), C(-1, 1), and D(-1, 2)
The given coordinates of the vertices of the image of the rectangle ABCD, which is rectangle A'B'C'D' are; A'(-4, -2), B'(-4, -1), C'(-1, -1), and D'(-1, -2)
Solution:
The form of the ordered pair of the vertices of the pre-image is negative value for <em>x</em>, positive value for <em>y</em>, which can be written as (-x, y), where <em>x</em>, and <em>y</em>, are positive numbers
The form of the ordered pair of the vertices of the image is (-x, -y)
The location of a point (-x, y) following a reflection over the y-axis is the point (x, y)
The location of a point (x, y) following a 180° rotation is the point (-x, -y)
Therefore, the set of transformations that can be applied to (-x, y), to create (-x, -y), is a reflection over the y-axis, followed by a rotation of 180
Which gives;
Therefore, the correct option is; <u>Reflected</u><u> over the y-axis and </u><u>rotated </u><u>180°</u>
Learn more about composite transformations here:
