Consider the Hakosalo Residence in Oulu, Finland $\frac{1}{26}$ Assume That It Is 10°F Outside Constantly

Consider the Hakosalo residence in Oulu, Finland.Assume that heat is lost from the house only through windows and the rate of change of temperature in °F/hr is proportional to the difference in temperature between the outside and the inside.The constant of proportionality is $\frac{1}{26}$ .Assume that it is 10°F outside constantly.On a Thursday at noon the temperature inside the house was 65°F and the heat was turned off until 5 pm.At 5 pm the heat is turned on.The heater generates an amount of energy that would raise the inside temperature by 2°F per hour if there were no heat loss.If the heat is left on indefinitely, what temperature will the inside of the house approach? Do not include units in your answer.