The resale value of the laptop after 3 years will be $949.22
Exponential decay is the process of reducing an amount by a consistent percentage rate over a period of time.
The formula for the exponential decay is
[tex]y = a(1-b)^{x}[/tex]
Where,
y is the final amount
a is the original amount
b is the decay factor
x is the amount of time that has passed
According to the given question.
The initial price of the laptop, a = $2250.
decay factor, b = [tex]\frac{25}{100} = \frac{1}{4}[/tex]
Therefore,
The resale value of the laptop after 3 years
= [tex]2250(1-\frac{1}{4} )^{3}[/tex]
[tex]= 2250(\frac{4-1}{4} )^{3}[/tex]
[tex]= 2250(\frac{3}{4} )^{3}[/tex]
[tex]= 2250\times \frac{27}{64}[/tex]
[tex]= 35.156 \times 27\\=\$ 949.22[/tex]
Hence, the resale value of the laptop after 3 years will be $949.22
Find out more information about exponential decay here:
https://brainly.com/question/14355665
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