Answer:
40
Step-by-step explanation:
First we need to subtract the 50 students enrolled in English class.
150 - 50 = 100
Next, let's add the mathematics students and the physics students.
80 + 60 = 140
Then we subtract the total amount of mathematics and physics students by the total number of students.
140 - 100 = 40
Therefore, there are 40 students who take both mathematics and physics.
Answer:
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Step-by-step explanation:
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Answer:
D. (x, y) → (x, −y)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
The orientation shows how an object is arranged. Rotation, translation and dilation preserves orientation while reflection does not preserve orientation.
The transformation (x, y) → (4x, 4y) shows the dilation by a scale factor of 4. Dilation preserve orientation.
The transformation (x, y) → (−y, x) shows the rotation of a point 90 degrees counterclockwise. Rotation preserve orientation.
The transformation (x, y) → (14x, 14y) shows the dilation by a scale factor of 14. Dilation preserve orientation.
The transformation (x, y) → (x, −y) shows a reflection over the x axis. Reflection does not preserve orientation.
Answer:
$6407.73
Step-by-step explanation:
Use the compound amount formula: A = P(1 + r/n)^(n*t), where
P is the original amount (the principal), r is the interest rate as a decimal fraction, n is the number of times the interest is compounded per year, and t is the number of years.
In this case, P = $5000, r = 0.0625, n = 4 and t = 4. Thus,
A = $5000(1 + 0.0625/4)^(4*4), or
A = $5000(1.015625)^16 = $5000(1.2815) = $6407.73 (to the nearest cent)
