a new car is purchased for 16200 dollars. the value of the car depreciates at 14.25% per year. what will the…

Explanation:

Step1: Identify the depreciation - formula

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

Step2: Convert the percentage to a decimal

Given $r = 14.25%=0.1425$, $P = 16200$, and $t = 6$.

Step3: Substitute the values into the formula

$A=16200\times(1 - 0.1425)^{6}$. First, calculate $1-0.1425 = 0.8575$. Then, calculate $(0.8575)^{6}\approx0.37777$. Finally, $A = 16200\times0.37777\approx6119.87$.

Answer:

$6119.87$