ANSWER
After 7 years the car will worth, 7,759.5
Step-by-step explanation
The initial value of the car is 37000.
The rate of depreciation is 20%
In 7 years time, we can calculate the value of the car using the formula,
![A=P(1-r\%)^n](https://img.qammunity.org/2020/formulas/mathematics/high-school/aw5h7xkmkmtaspnh8ywgacg1fmtrsojla2.png)
We substitute the values into the formula to obtain,
![A=37000(1-0.2)^7](https://img.qammunity.org/2020/formulas/mathematics/high-school/c1yj2s3u78qma4re7wce91nt92yj1037ju.png)
![A=37000(0.88)^7](https://img.qammunity.org/2020/formulas/mathematics/high-school/qnmu38ics7mm53ds9quy3n2xdrc4z2wztc.png)
![A=7759.5](https://img.qammunity.org/2020/formulas/mathematics/high-school/3f4evkrl5bx15a05f5axf0qx4oei3b6hcu.png)
to the nearest tenth