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?

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?

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

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.

step-by-step explanation:

no solution.