the general equation for depreciation is given by $y = a(1 - r)^t$, where $y =$ current value, $a =$…

the general equation for depreciation is given by $y = a(1 - r)^t$, where $y =$ current value, $a =$ original cost, $r =$ rate of depreciation, and $t =$ time, in years. a car was purchased 6 years ago for $25,000. if the annual depreciation rate is 11%, which equation can be used to determine the approximate current value of the car?\n$y = 25,000(0.89)^6$\n$y=(25,000\times0.11)^6$\n$y=(25,000\times0.89)^6$\n$y = 25,000(0.11)^6$

the general equation for depreciation is given by $y = a(1 - r)^t$, where $y =$ current value, $a =$ original cost, $r =$ rate of depreciation, and $t =$ time, in years. a car was purchased 6 years ago for $25,000. if the annual depreciation rate is 11%, which equation can be used to determine the approximate current value of the car?\n$y = 25,000(0.89)^6$\n$y=(25,000\times0.11)^6$\n$y=(25,000\times0.89)^6$\n$y = 25,000(0.11)^6$

Answer

Explanation:

Step1: Identify values

Given $A = 25000$, $r=0.11$, $t = 6$.

Step2: Substitute into formula

Substitute into $y=A(1 - r)^t$. So $y=25000\times(1 - 0.11)^6=25000\times0.89^6$.

Answer:

$y = 25000(0.89)^6$ (First option)