exam Maths Puzzle Numerical Ability

May i please get some help, i am in desperate need

Write an equatio fo the circle with center (1,-1) if (-1/2,-1) lies on the circle

The Slope of any line perpendicular to th

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$6000 invested for 5 years at 7% compound interest. Find the final amound on deposit if the interest is compounded quarterly.

Thanks! An objective function is to be maximized given the following constraints: x + y<- 5, x + 2y <- 6, x >- 0, y >- 0. Find the vertices of the set of feasible solutions.