6. mariah purchased a car for $8,599. if the rate of depreciation is 2.5%, what will the value of the car be…

Explanation:

Step1: Identify the depreciation formula

The formula for depreciation is $A = P(1 - r)^t$, where $A$ is the final amount, $P$ is the initial amount, $r$ is the rate of depreciation, and $t$ is the time in years.

Step2: Substitute the given values

Here, $P = 8599$, $r=0.025$ (since $2.5%= 0.025$), and $t = 4$. So, $A=8599\times(1 - 0.025)^4$.

Step3: Calculate the value inside the parentheses first

$1-0.025 = 0.975$.

Step4: Calculate the power

$(0.975)^4=0.975\times0.975\times0.975\times0.975\approx0.903686$.

Step5: Multiply by the initial amount

$A = 8599\times0.903686\approx7771.62$.

Answer:

$7771.62$