you live in the area in which power is supplied through an electric company whose generators run on natural gas. It is almost time for you to replace the roof on your house you know that installing solar shingles will reduce the cost of your monthly electric bill, but you also know that the installation of the shingles will be a large expense itself. calculate how long ( in years) it would take for the cost of installing a new solo shingle system to be offset by (or, be equal to the) monthly savings in your electric bill. you can assume that you are able to take advantage of all the Federal, state, and local help with cross reduction for a 40% off the installation cost. is installing the system worth it? why or why not? what additional information might you want to consider before making a final decision? be sure to show your work and explain your reasoning​