Exam Maths Puzzle Co-ordinate geometry

Q. One is x^2 = 2y, where the vertex equals (0,0).

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Exam Other Question

log7^4x + log7^(x+1) = log7^64 Q. Suppose you invested $10,000, part at 6% annual intrest and the rest at 9% annual intrest. If you received $684 in intrest after on year, how much did you invest at each rate?