Answer:
The house will be worth $184,699.6847 in 6 months.
Step-by-step explanation:
Since the cost of the houses is dropping by 2.5 % per month, then it is decreasing exponentially and can be modeled by the following formula:
[tex]cost(x) = 215000*(1 - \frac{2.5}{100})^t\\cost(x) = 215000*(1 - 0.025)^t\\cost(x) = 215000*(0.975)^t\\[/tex]
After 6 months:
[tex]cost(6) = 215000*(0.975)^6\\cost(6) = 184699.6847[/tex]
The house will be worth $184,699.6847 in 6 months.
