stewarpeyton047 stewarpeyton047
  • 28-04-2024
  • Mathematics
contestada

Luke buys a couch for $500. It depreciates in value by 10% each year.
Set up an equation:
What is the value of the couch after 4 years?

Respuesta :

regalmocha17 regalmocha17
  • 28-04-2024

Answer:

Value of couch after 4 years is $328.05

Step-by-step explanation:

Given that the starting value is 500, and the rate is 0.90, and we are being asked to determine the value after 4 years, we can use the exponential decay formula.

Where:

v = o ( 1 - r )^t

v = value

o = original (principal)

r = rate

t = time

plug in our values:

v = 500(1 - 0.10)^4

v = 500(0.90)^4

v = 328.05

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