exam Maths Puzzle Numerical Ability

The Dalton Art Fund must raise $2500 next year by investing $30,000 in federal notes paying 9% and in muncipal bonds paying 8%. The tresauer ants to invest as much as possible in t

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Can you answer this problem for me? It is so long, and I just keep getting stuck. It has to do with the trigonometric identities. The instructions are to verify the identity. Here I need to solve the following equation without using logarithms...

{{{ 2^x^2+^5^x = 1/16 }}}

Also I can't figure out how to use the round trip theorum to show that g is the i