The price of a certain house is currently $260,000.Suppose it is estimated that after t months,the price $$p ( t )$$ will be increasing at the rate of $0.01 p ( t ) + 1,000 t$ dollars per month.
In 7 months from now,to the nearest whole dollar,the price of the house will be $303,934.

Question

Quizplus · Accepted Answer

The given rate of increase is $0.01 p(t) + 1,000t$. To find the price after 7 months, we would need to integrate this rate of change over the period from 0 to 7 months, considering the initial price of $260,000. The provided statement simplifies this complex calculation to a specific value without showing the necessary steps or accounting for the compound nature of the growth, which involves both a percentage increase and a linear term. The exact outcome would depend on correctly applying these factors over time, and the stated final price does not directly follow from the information given without performing the specific calculations.

The Price of a Certain House Is Currently $260,000 p(t)p ( t )p(t)

The Price of a Certain House Is Currently $260,000 $p ( t )$