Troy bought a new boat that cost $28,000. The normal depreciation for such a boat is 14% per year. Which equation models the value of Troy's boat after t years? A) y = 28,0001.14t B) y = 28,0000.86t C) y = 28,000(1.14)t D) y = 28,000(0.86)t

Respuesta :

Answer:

Option D. [tex]y=28,000(0.86)^{t}[/tex]

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

[tex]y=P(1-r)^{x}[/tex]

where  

y is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x is Number of Time Periods  

in this problem we have  

 [tex]P=\$28,000\\r=14\%=0.14\\x=t\ years[/tex]

substitute

[tex]y=28,000(1-0.14)^{t}[/tex]

[tex]y=28,000(0.86)^{t}[/tex]

Answer:

D

Step-by-step explanation:

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