On January 1, 2010, Lucita bought a car for $25,000. If the car depreciates at a rate of 15% per year, which equation can be used to find the value of the car on January 1, 2018?
![On January 1 2010 Lucita bought a car for 25000 If the car depreciates at a rate of 15 per year which equation can be used to find the value of the car on Janua class=](https://us-static.z-dn.net/files/d8c/7f282c3706e57c33a5c16dd41f1aac88.png)
Answer:
[tex] a_9=25,00(0.85)^{9-1}[/tex]
Step-by-step explanation:
Let [tex]a_1=25,000[/tex]
After one year, in 2001, the price is $a_2$, where
$a_2= a_1-a_1\times (0.15)$
$\therefore a_2=a_1(1-0.15)=a_0(0.85)$
Now after two years, in 2002, let the price be $a_3$
The pattern is pretty clear. After $n$ years, in $200n$ the price will be:
$a_n= a_0(0.85)^{n-1}$
Answer:
A
Step-by-step explanation:
a1=25000(0.85)^ 9-1
The guy above is right. I just wanted to simplify the answer.