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andrew11 [14]
3 years ago
14

AA, B BB, and C CC are collinear, and B BB is between A AA and C CC. The ratio of A B ABA, B to B C BCB, C is 3 : 1 3:13, colon,

1. If A AA is at ( − 7 , 3 ) (−7,3)left parenthesis, minus, 7, comma, 3, right parenthesis and B BB is at ( − 1 , 0 ) (−1,0)left parenthesis, minus, 1, comma, 0, right parenthesis, what are the coordinates of point C CC?
Mathematics
1 answer:
Katena32 [7]3 years ago
7 0

Answer:

  C = (1, -1)

Step-by-step explanation:

For that 3:1 division, the calculated value of point B is ...

  B = (3C +1A)/(3+1)

Solving for the value of C, we find ...

  4B = 3C + A . . . . multiply by 4

  4B -A = 3C . . . . . subtract A; next divide by 3.

  C = (4B -A)/3 = ((4(-1)-(-7))/3, (4(0)+-3)/3) . . . . substitute given values

  C = (3/3, -3/3) . . . . simplify a bit

  C = (1, -1)

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3rd year principal = 2nd principal + 2nd year interest = $4646.25 + $151 = $4797.25. 3rd year interest calculated = 3.25/100 × $4797.25/1 = $155.91

4th year principal = 3rd year principal + 3rd year interest =$4797.25 + $155.91 =$4953.16. 4th year principal calculated = 3.25/100 × 4953.16/1 =$160.98

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6th year principal =5th year principal + 5th year interest = $5114.14 + $166.21 =$5280.35. 6th year interest calculated = 3.25/100 × 5280.35/1 =$171.61

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