To solve this problem, let us say that:
money invested in stock A = A
money invested in stock B = B
money invested in stock C = C
The given problem states that:
C = A * (1 / 4) = 0.25 A
B = A * (1 / 2) = 0.50 A
It was stated that we only have $16,000 to invest.
Therefore:
A + B + C = 16,000
Substituting values of C and B in terms of A:
A + 0.50 A + 0.25 A = 16,000
1.75 A = 16,000
A = $9,142.86
So C and B is:
C = 0.25 (9142.86)
C = $2285.71
B = 0.50 (9142.86)
B = $4571.43
The number of hours spent playing video games is the independent variable and cumulative grade point average is the dependent variable.
<h3>What is an independent variable?</h3>
An independent variable simply means the variable that's changed to test the effect on the dependent variable.
Here, the number of hours spent playing video games is the independent variable and cumulative grade point average is the dependent variable.
This is because the number of hours is being used to predict cumulative grade point average.
Learn more about variables on:
brainly.com/question/25223322
#SPJ1
Given the triangle
PQR
with points
P(8,0)
Q(6,2)
R(-2,-4)
And the triangle
P'Q'R'
with points
P'(4,0)
Q'(3,1)
R'(-1,-2)
Part A. Scale factor
Using the vertex
P( 8, 0)
P'(4,0)
the dilatation factor is given by
The triangle has a dilatation factor of 1/2
Part B:
P''Q''R'' after using P'Q'R' reflected about the y axis
to make a reflection over the y axis
coordinates (x,y) turn into coordinates (-x,y)
as follows
Then triangle P''Q''R'' has coordinates
P''(-4,0)
Q''(-3,1)
R''(1,-2)
Part C:
PQR is congruent to P''Q''R''?
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Then the triangles are not congruent
Answer:
b
Step-by-step explanation:
