alyssaaalingenfelter alyssaaalingenfelter
  • 17-01-2020
  • Mathematics
contestada

A buisness purchases a computer I
system for $3,000. The value
of the system decreases at a rate
of 15% per year. Which expotential
function models this situation.

Respuesta :

rani01654 rani01654
  • 24-01-2020

Answer:

[tex]V(y) = 3000(0.85)^{y}[/tex]

Step-by-step explanation:

A business purchases a computer I  system for $3,000. The value  of the system decreases at a rate  of 15% per year.

Therefore, the yearly valuation decay rate is [tex]\frac{15}{100} = 0.15[/tex].

Now, using the exponential function modeling we can write,

[tex]V(y) = 3000(1 - 0.15)^{y} = 3000(0.85)^{y}[/tex]

Here, V(y) is the valuation of the computer after y years of purchase.

$3000 is the initial value. (Answer)

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