Answer:
1 year= $280
Step-by-step explanation:
30% of 400= 0.3 * 400= 120
400-120= 280
after one year the playstation cost 280
30% of 280= 0.3 * 280= 84
280-84= 196
after 2 years it cost $196
multiply the number by 0.3 to get 30% of the total
The triangle ABC was dilated with a scale factor of 5 to form a figure with new coordinates at A'(-15, -5), B'(10, -10) and C'(-5, -20).
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are<em> reflection, translation, rotation and dilation.</em>
The triangle ABC was dilated with a scale factor of 5 to form a figure with new coordinates at A'(-15, -5), B'(10, -10) and C'(-5, -20).
Find out more on transformation at: brainly.com/question/4289712
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Answer:
The answer is below
Step-by-step explanation:
a)Given that the length of fencing available is 400 yards. This means that the perimeter of the rectangle is 400 yards.
the perimeter of a rectangle is given as:
Perimeter = 2(length + width) = 2(l + w)
Hence;
400 = 2(l + w)
200 = l + w
l = 200 - w
The area of a rectangle is given as:
Area = length × width
Area = (200 - w) × w
Area = 200w - w²
b) For a quadratic equation y = ax² + bx + c. it has a maximum at x = -b/2a
Hence, for the area = 200w - w² a=-1, b = 200, the maximum width is at:
w = -b/2a = -200/2(-1) = -200/-2 = 100
A width of 100 yard has the largest area
c) l = 200 - w = 200 - 100 = 100 yards
Area = l × w = 100 × 100 = 10000 yd²
The maximum area is 10000 yd²