Respuesta :
The equation which is used to determine the approximate current value of the car by the depreciation equation is,
[tex]y=25000(0.89)^6[/tex]
What is depreciation?
Depreciation is to decrease in the value of a product in a period of time. This can be given as,
[tex]y=A\left(1-{r}\right)^t[/tex]
Here,(y) is the current value, (A) is the original cost of the product, (r) is the rate of depreciation and (t) is the number of years.
Now the car was purchased 6 years ago. The original cost of the car is $25,000 and the annual depreciation rate is 11%.
The rate can be given as,
[tex]r=\dfrac{11}{100}\\r=0.11[/tex]
Thus, to find the equation can be used to determine the approximate current value of the car, put the values in the above formula as,
[tex]y=(25000)\left(1-{0.11}\right)^6\\y=25000(0.89)^6[/tex]
Hence, the equation which is used to determine the approximate current value of the car by the depreciation equation is,
[tex]y=25000(0.89)^6[/tex]
Learn more about the depreciation here;
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