a new car is purchased for 21,800 dollars. the value of the car depreciates at a rate of 9.5% per year…

a new car is purchased for 21,800 dollars. the value of the car depreciates at a rate of 9.5% per year. which equation represents the value of the car after 5 years?\nanswer\n$v = 21,800(1 + 0.095)^5$\n$v = 21,800(1 - 0.095)^5$\n$v = 21,800(0.05)^5$\n$v = 21,800(1 - 0.095)(1 - 0.095)(1 - 0.095)$

a new car is purchased for 21,800 dollars. the value of the car depreciates at a rate of 9.5% per year. which equation represents the value of the car after 5 years?\nanswer\n$v = 21,800(1 + 0.095)^5$\n$v = 21,800(1 - 0.095)^5$\n$v = 21,800(0.05)^5$\n$v = 21,800(1 - 0.095)(1 - 0.095)(1 - 0.095)$

Answer

Explanation:

Step1: Recall depreciation formula

The formula for depreciation is $V = P(1 - r)^t$, where $P$ is the initial value, $r$ is the rate of depreciation as a decimal, and $t$ is the number of years.

Step2: Identify values

Here, $P = 21800$, $r=0.095$ (since $9.5%= 0.095$), and $t = 5$.

Step3: Substitute values into formula

Substituting into the formula gives $V=21800(1 - 0.095)^5$.

Answer:

$V = 21,800(1 - 0.095)^5$