Question

A $642,000 property is depreciated for tax purposes by its owner with the straight-line depreciation method. The value of the building, y, after x months of use is given by y = 642,000 − 1800x dollars.
After how many months will the value of the building be $420,600?

Answer 1

Answer:

$123$ months

Step-by-step explanation:

The value of the building y, after x months of use is given by the equation is

$y=642,000-1800x$

To find the number of years that will pass before the value of the building is $420,600, we need to equate the equation to 420,600 and solve for x.

$642,000-1800x=420,600$

Group the similar terms:

$-1800x=420,600-642,000$

Simplify the left hand side to get:

$-1800x=-221,400$

Divide both sides by -1800

$x=\frac{-221,400}{-1800}$

$123$

The number of months is $123$ months