A typical household pays about $1200 a year on energy bills, and the U.S. Department of Energy estimates that 46 percent of this energy is used for heating and cooling, 15 percent for heating water, 15 percent for refrigerating and freezing, and the remaining 24 percent for lighting, cooking, and running other appliances. The heating and cooling costs of a poorly insulated house can be reduced by up to 30 percent by adding adequate insulation. If the cost of insulation is $220, determine how long it will take for the insulation to pay for itself from the energy it saves.

Respuesta :

Answer: 16 months or 1 and half year.

Step-by-step explanation:

given data:

46 percent of this energy is used for heating and cooling.

15 percent for heating water.

15 percent for refrigerating and freezing.

and the remaining 24 percent for lighting, cooking, and running other appliances.

Solution:

if the family spent $1200 on yearl bill, the cost of energy used in heating and cooling

= 46/100 * $1200

= $552 yearly.

by adding insulation the cost of heating and can be redu up to 30percent.

= 30/100 * $552

= $165.6.

if $220 determin how long it would take for the insulation to pay for it self from the energy it saves.

$165.6 would be saved yearly, this makes it an average of $13.8 saved monthly.

to determine the time it would take to settle the cost of insulation from energy saved

= $220/13.8

= 15.9 months

which Is approximately 16 months or 1 and half year to pay for the insulation.