Question

a building worth $827,000 is depreciated for tax purposes by its owner using the straight - line depreciation method. the value of the building, y, after x months of use, is given by y = 827,000 - 2500x dollars. after how many years will the value of the building be $617,000? the value of the building will be $617,000 after \square years. (simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Substitute given value of y

$617,000 = 827,000 - 2500x$

Step2: Rearrange to isolate x term

$2500x = 827,000 - 617,000$

Step3: Calculate right-hand side

$2500x = 210,000$

Step4: Solve for x (months)

$x = \frac{210,000}{2500} = 84$

Step5: Convert months to years

$x_{years} = \frac{84}{12} = 7$

Answer:

7