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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?
A) V= 15,600(1.08)^n
B) V= 15,600(0.92)^n
C) V= 15.600(0.08)^n
D) V= 15,600(0.05)^n

Respuesta :

Aliwohaish12
Hi there

The answer is
B) V= 15,600(0.92)^n

Hope it helps
JeanaShupp

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

Step-by-step explanation:

The value mid-sized car in a particular year = $15,600

The rate of decay = 8% = 0.08

The exponential decay equation for n years is given by :-

[tex]y=A(1-r)^n[/tex], where A is the initial amount and  r is the rate of decay.

Now, the exponential decay equation represents its value (V) after n years is given by :-

[tex]V=15600(1-0.08)^n\\\\\Rightarrow\ V=15600(0.92)^n[/tex]

Hence, the equation which represents its value (V) after n years is given by :-

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

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