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

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?\no y = 25,000(0.89)^6\no y=(25,000 0.11)^6\no y=(25,000 0.89)^8\no 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?\no y = 25,000(0.89)^6\no y=(25,000 0.11)^6\no y=(25,000 0.89)^8\no y = 25,000(0.11)^6

Answer

Explanation:

Step1: Identify the values of A, r and t

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

Step2: Calculate $1 - r$

$1 - r=1 - 0.11=0.89$.

Step3: Substitute values into the formula

Substitute $A = 25000$, $1 - r = 0.89$ and $t = 6$ into $y=A(1 - r)^t$, we get $y = 25000\times(0.89)^6$.

Answer:

$y = 25000\times(0.89)^6$ (corresponding to the first - option in the multiple - choice list)