One week from now, the amount will be ...
... $50 + 0.20×$50 = $50 + 10 = $60
Two weeks from now, the amount will be ...
... $60 + 0.20×$60 = $60 + 12 = $72
_____
The first expression can be factored to be $50 × (1 + 0.20) = $50×1.2.
The second expression can be factored the same way to be $60×1.2, or ...
... ($50×1.2)×1.2 = $50×1.2²
... = $50×1.44 = $72
The remainder is what can't fit in so you put to the side R then the number
The Mid - point of the line segment is at coordinates - M(- 7.5, 0.5)
We have two coordinate points - A(- 10, 2) and B(- 5, -1)
We have to find the midpoint of this line AB.
<h3>What is Mid - Point Theorem?</h3>
It states that a line with endpoint coordinates as - 
and 
has its mid - point at the coordinates -
According to question, we have -
First coordinate Point - = (- 10, 2)
Second coordinate Point - = (- 5, - 1)
Using the Mid - Point formula, we get -
=
Hence, the Mid - point of the line segment is at coordinates -
M(- 7.5, 0.5)
To solve more questions on Mid - points, visit the link below -
brainly.com/question/25377004
#SPJ1
We use the distance formula for this problem.
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
The distance between point (-2,-2) and point (-2,4).
d = √[(⁻2 - ⁻2)² + (4 - ⁻2)²] = 6 units
Then, compute for 20% of 6 units:
Distance traveled = 6(0.2) = 1.2 units
Use 1.2 units as distance and the starting point (-2,-2). The x-coordinate should still be at -2 because the distance is a straight line as shown in the picture.
1.2 = √[(-2 - ⁻2)² + (y - ⁻2)²]
Solving for y,
y = -0.8
The point is found at (-2,-0.8). This is located at quadrant 3. As to the distance traveled, that would be: 1.2*6 = 6 miles. Thus, the answer is C.
Answer:
Ok, we know that we can write a horizontal translation as:
y' = f(x - A)
where if A is positive, this moves the graph of f(x) A units to the right.
Why is this?
Ok, let's compare:
y = f(x)
and
y' = f(x - A)
in y, when x = 0 we have f(0).
While to have this same point in y', we need to evaluate in x = A.
f(A - A) = f(0).
Then the value f(0) is now at x = A, this means that the point moved A units to the right.
And you can do this for all the values, so you will find that the entire graph of f(x) has ben moved A units to the right.
