Kyleyeah
contestada

87 points and brainiest FAST TY
You bought a car for $56,000 it depreciates at a rate of 12% every year.

When will the car be worth less than $2000?

Respuesta :

mhanifa

Answer:

  • After 8 years

Step-by-step explanation:

Given:

  • Initial price $56000
  • Target price $20000
  • Rate of depreciation 12% or 0.12

The equation for this:

  • P(t) = 56000*(1 - 0.12)^t

Find the value of t:

  • 20000 = 56000*0.88^t
  • 0.88^t = 20000/56000
  • 0.88^t = 0.35714285714
  • t = log 0.35714285714 / log 0.88
  • t ≈ 8
DWdariIndonesia

SOLUTION

.

  • P(n) = 56.000 × (1 - 0,12)ⁿ

.

—

.

20.000 = 56.000 × (1 - 0,12)ⁿ

20.000 = 56.000 × 0,88ⁿ

0,88ⁿ = 20.000/56.000

[tex]\boxed{ n \approx 8}[/tex]

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