Answer:
The value of car in 5 years will be = $6700.87
Explanation:
The function representing the value of a car in
years is given by:
![f(x)=12000(0.89)^x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qdj5fnlc3gg6ch2q0iumdyt9biljaqp1ej.png)
To find the value of the car in 5 years to nearest cents.
Solution:
In order to find value of car in 5 years, we will plugin
in the given function.
So, we have:
![f(5)=12000(0.89)^5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tyykoskn88bmyb9pdkzxivkc7zx00wt0p2.png)
![f(5)=12000(0.5584)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9ot0h6m4dbhe6cevrebpm7safoebxe7pi4.png)
![f(5)=6700.871\approx 6700.87](https://img.qammunity.org/2020/formulas/mathematics/middle-school/u0n97b1sduwb33odbazbhnlq0tcl42bohy.png)
Thus, value of car in 5 years will be = $6700.87