chase buys a car for $31,556. his car immediately starts depreciating, losing 10% of its value every year…

Explanation:

Step1: Identify the depreciation formula

The formula for exponential - decay is $A = P(1 - r)^t$, where $P$ is the initial value, $r$ is the rate of decay, and $t$ is the time.

Step2: Determine the values of $P$, $r$, and $t$

$P=$31556$, $r = 0.1$ (since 10%=0.1), and $t = 10$.

Step3: Substitute the values into the formula

$A=31556\times(1 - 0.1)^{10}=31556\times0.9^{10}$.

Step4: Calculate $0.9^{10}$

$0.9^{10}=0.3486784401$.

Step5: Calculate the value of $A$

$A = 31556\times0.3486784401\approx10998.88$.

Answer:

$10998.88$