A machine that costs $100,000 earns a continuous income stream of $10,000 per year. Approximately how long does it take before the present value of the income generated by the machine equals the purchase price? Use an interest rate of 8.5% per year compounded continuously.

Question

A machine that costs $100,000 earns a continuous income stream of $10,000 per year. Approximately how long does it take before the present value of the income generated by the machine equals the purchase price? Use an interest rate of 8.5% per year compounded continuously.
I see the way to do it, I just can't seem to get the correct answer when I try. As much explanation as possible would be greatly appreciated

oobleck · Answer

so, what have you tried? sites like this one should help. https://courses.lumenlearning.com/businesscalc1/chapter/reading-continuous-income-stream/