exam Maths Puzzle Numerical Ability

y^4-y^2=40y-10y^3

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help verifying the identity

sin^2(theta/2)=csc(theta)-cot(theta)/2csc theta A total of $10000 is invested in two funds paying 5% and 7% annual interest. The combined annual interest is $630. How much of the 10000 is invested in each fund?