There were 600 students at the north campus and 400 students at the south campus.
<h2 /><h3><u>Calculus</u></h3>
To determine, if 42% of the 1000 students at the east campus are music majors, how many students did the north and south campuses have before the merger, the following calculation must be performed:
- 0.10X + 0.90Y = 420
- 1000 x 0.42 = 420
- 500 x 0.10 + 500 x 0.90 = 50 + 450 = 500
- 600 x 0.10 + 400 x 0.90 = 60 + 360 = 420
Therefore, there were 600 students at the north campus and 400 students at the south campus.
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Answer:
(-1,0)
Step-by-step explanation:
Given that ;
1 minute= 1 revolution
2minutes=2 revolution
30seconds, 0.5 minutes= 1/2 a revolution
Hence;
2 minutes 30 seconds will be two and a half revolutions
2 minutes will complete 2 revolutions to return to point (1,0), then from (1,0), the carousel proceeds to cover the half revolution and complete 2 minutes and 30 seconds
Note the revolutions will be conducted in anticlockwise direction, so the 1/2 revolution will follow the property of rotation in anticlockwise direction about the origin through 180°, starting from point (1,0)
The property states that a points (h,k) rotated about the origin in anticlockwise direction through 180° will be mapped to (-h,-k)
Hence (1,0) will be mapped to (-1,0)
The distributive properties of addition and subtraction can be used to rewrite expressions for a variety of purposes. In each case, you are distributing the outside multiplier to each number in the parentheses, so that multiplication occurs with each number before addition or subtraction occurs.
The amount that'll be saved if the television was bought for cash is $1600.
Cash price of television = $10000
Amount paid through hire purchase will be:
= (20% × $10000) + ($800 × 12)
= (0.2 × $10000) + $9600.
= $2000 + $9600.
= $11600
The amount that could have been saved will be:
= $11600 - $10000.
= $1600
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