question a new car is purchased for 26,400 dollars. the value of the car depreciates at a rate of 5% per…

question a new car is purchased for 26,400 dollars. the value of the car depreciates at a rate of 5% per year. which equation represents the value of the car after 5 years? answer o v = 26,400(0.95)^5 o v = 26,400(1.05)^5 o v = 26,400(1 + 0.05)^5 o v = 26,400(1 - 0.05)(1 - 0.05)
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, and $t$ is the time in years.
Step2: Identify values
Here, $P = 26400$, $r=0.05$ (since 5% = 0.05), and $t = 5$.
Step3: Substitute values into formula
Substituting gives $V=26400(1 - 0.05)^5=26400(0.95)^5$.
Answer:
A. $V = 26,400(0.95)^5$