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jolli1 [7]
3 years ago
12

A new truck costs $32,000. The car’s value will depreciate over time, which means it will lose value. For tax purposes, deprecia

tion is usually calculated linearly. If the truck is worth $24,500 after three years, write an explicit formula for the value of the car after n years.
Mathematics
2 answers:
pantera1 [17]3 years ago
8 0

Answer:

v = -2500*n + 32000

Step-by-step explanation:

Depreciation is usually calculated linearly, means that it follows the following equation (equation of a line):

v = a*n + b

where <em>n</em> is time after truck was new (in years), <em>v</em> is value of the truck (in $), and <em>a</em> and <em>b</em> are some constants.

A new truck costs $32,000, that is, when n = 0, v = 32000. Replacing into the equation:

32000 = a*0 + b

32000 = b

The truck is worth $24,500 after three years , that is, n = 3, v = 24500. Replacing into the equation:

24500 = a*3 + 32000

a*3 = 24500 - 32000

a = -7500/3 = -2500

love history [14]3 years ago
6 0
32000 - (32000 * .2552n)
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