Heating and cooling bills will be about ​% less than in a similar​ wood-framed building in upstate New York. An ICF home will be approximately ​% more expensive to construct than a​ wood-framed home. For a typical ft home costing ​$ ft to construct in upstate New York and costing ​$ per month to heat and​ cool, how many months does it take for a ft ICF home to pay back its extra construction​ cost?

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Complete question :

Insulated concrete forms​ (ICF) can be used as a substitute for conventional wood framing in building construction. Heating and cooling bills will be about 60​% less than in a similar​ wood-framed building in upstate New York. An ICF home will be approximately 10​% more expensive to construct than a​ wood-framed home. For a typical 1,800 ftsquared2 home costing ​$130 ftsquared2 to construct in upstate New York and costing ​$260 per month to heat and​ cool, how many months does it take for a 1,800 ftsquared2 ICF home to pay back its extra construction​ cost?

Answer:

150 months

Step-by-step explanation:

Wood framing Construction cost :

Cost per ft² = $130

Total cost for 1800 ft² :

1800 * $130 = $234,000

Heating and cooling cost = $260

An ICF home:

Construction cost will be approximately 10% more expensive :

Hence, total cost of ICF = (1.1) * 234000 = $257,400

Extra cost on construction :

$257,400 - $234000 = $23,400

Heating and cooling cost ; 60% less expensive = (1 - 0.6) * $260 = $104

Saving in heating and cooling = $260 - $104 = $156 monthly

Number of months it takes to pay extra cost on construction :

Extra cost on construction / saving in heating & cooling

= $23,400 / $156

= 150 months