If p=0.0\overline{9} , then what is the value of 70p^{2}+43p-5?

Explanation

The repeating decimal p = 0.0\overline{9} equals exactly 0.1. Substituting p = 0.1 gives 70(0.01) + 43(0.1) - 5 = 0.7 + 4.3 - 5 = 5 - 5 = 0.

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