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A financial survey estimated that, on average, the retail value of a mid-sized car decreases 8% annually. If the value of a mid-sized car in a particular year is $15,600, which equation represents its value (V) after n years?

Respuesta :

nicholas2021265
v=15600*(0.92)^n
where v is value and n is years

Answer:

[tex]V=15600(0.92)^n[/tex] represents its value (V) after n years.

Step-by-step explanation:

Rate of decrease = 8%

Original Value = a = $15600

Time = n years

Now we are supposed to find which equation represents its value (V) after n years

Formula : [tex]y=a(1-b)^n[/tex]

where a is original value

b is decay rate

n is time

y is value after n years i.e. V

So,  [tex]V=15600(1-0.08)^n[/tex]

[tex]V=15600(0.92)^n[/tex]

Hence [tex]V=15600(0.92)^n[/tex] represents its value (V) after n years.

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