Answer:
When Aria sold her house after eleven years it worth was <u>$95,300</u>.
Step-by-step explanation:
Given:
Aria paid $75,000 for her house. Its property value increased by 2.2% per year.
Now, to find the worth of Aria house when sold after eleven years.
Let the amount of house after eleven years be ![x.](https://tex.z-dn.net/?f=x.)
Amount Aria paid for her house (A) = $75,000.
Rate of property increased per year (r) = 2.2%.
Time (t) = 11 years.
Now, to get the amount of house after eleven years we put formula:
![x=A\times (1+\frac{r}{100})^{11}](https://tex.z-dn.net/?f=x%3DA%5Ctimes%20%281%2B%5Cfrac%7Br%7D%7B100%7D%29%5E%7B11%7D)
![x=75000\times (1+\frac{2.2}{100})^{11}](https://tex.z-dn.net/?f=x%3D75000%5Ctimes%20%281%2B%5Cfrac%7B2.2%7D%7B100%7D%29%5E%7B11%7D)
![x=75000\times (1+0.022)^{11}](https://tex.z-dn.net/?f=x%3D75000%5Ctimes%20%281%2B0.022%29%5E%7B11%7D)
![x=75000\times (1.022)^{11}](https://tex.z-dn.net/?f=x%3D75000%5Ctimes%20%281.022%29%5E%7B11%7D)
![x=75000\times 1.2704](https://tex.z-dn.net/?f=x%3D75000%5Ctimes%201.2704)
![x=95280.](https://tex.z-dn.net/?f=x%3D95280.)
<em>The amount of house after eleven years to the nearest hundred dollars is $95,300.</em>
Therefore, when Aria sold her house after eleven years it worth was $95,300.