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1) John was in Miami, he visited his investment house and invested a total of US$12,000, a fraction at 4% and the remainder at 6%.

1) John was in Miami, he visited his investment house and invested a total of US$12,000, a fraction at 4% and the remainder at 6%. His total annual return would be $620. How much did he invest at each rate?

2) The points A (3, 0), B (6, 4) and C (- 1, 3) are the vertices of a right-angled Isosceles triangle.

(a) Determine the two lines that are equal in length.

(b) Determine the gradient and equation of the line segment BC

(c) Determine the equation of the line in standard form that passes through the point (7, -2) and is parallel to BC.

3) Simplify (x - 4y)^3 by using pascals triangle.

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