christy9219 christy9219
  • 19-02-2021
  • Mathematics
contestada

A house is losing value at a rate of 5.4% per year. In 2009, the house was worth $331,000. Find the value of the house in 2021.

Respuesta :

samuelonum1
samuelonum1 samuelonum1
  • 21-02-2021

Answer:

$169803

Step-by-step explanation:

Given data

rate of decrease = 5.4%

time = 2009-2021= 12years

P=  $331,000

Let us apply the compound interest formula

A=P(1-r)^t----------------note the minus sign because this is a decrease

A= 331000(1-0.054)^12

A= 331000(0.946)^12

A= 331000*0.513

A=$169803

Hence the value in 2021 is $169803

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