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Bailey bought a lawnmower for $600. The value of the lawnmower depreciates 2% every year. What is the value of the lawnmower after 5 years? Round your answer to the nearest dollar.

-Exponential

Respuesta :

Answer:

$542

Step-by-step explanation:

we know that

The equation of a exponential decay function is given by

[tex]y=a(1-r)^x[/tex]

where

y is the value of the lawnmower

x is the time in years

a is the initial value

r is the rate of change

we have

[tex]a=\$600\\r=2\%=2/100=0.02[/tex]

substitute

[tex]y=600(1-0.02)^x[/tex]

[tex]y=600(0.98)^x[/tex]

For x=5 years

[tex]y=600(0.98)^5=\$542[/tex]