Given that the value of an industrial machine has a decay factor of 0.75 per year, and after six years, it became $7,500 only, this would mean that the original value of the machine would be solved like this: <span>7500 = x(1-.75)^6 </span>7500 = x(0.25)^6 7500 = x(<span>0.00024414062) 7500 = </span><span>0.00024414062x x = </span><span>30, 720, 000 Hope this answers your question.</span>