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Question

A new green technology can be installed in your home for a one-time installation cost of 10,!000 and annual maintenance costs of 650 per year. If the green technology is supposed to save you 1200$ each year in energy bills, how many whole years will it take to recuperate your costs?

Accepted Answer

We look for the least number of years n it takes for the savings to be greater than or equal to the costs. align* 1200n&10,000+650n 550n&10,000 n&10,000550=18.18 align*The smallest integer greater than 18.18 is 19, so it will take 19 years to recuperate the costs.