exam Maths Puzzle Numerical Ability

Simplify by removing the factors of 1.

3z^9/10z^5

This is to look like a fraction.

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Paul invested $12,000 some at 14% annual interest and the rest at 10%. Last year he earned $1632 in interest. How much money was invested at each rate?

Thanks so much for any help. The length of one leg of a right triangle is 1 in. more than the other. If the length of the hypotenuse is 3 in., what are the lengths of the legs? round to the nearest thousandth of an inch.