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a new car is purchased for 24800. the value of the car depreciates at 12% per year what is the Y intercept of starting value

Sagot :

EXPLANATION

Let's see the facts:

Purchase Price = $24,800

Depretiation = 12%/year

We should apply the formula for exponential decay wich is expressed as:

A = P(1-r)^t

A= value of the car after t years

t= number of years

P = Initial Value

r= rate of decay in decimal form

We have that A=unknown t=? P=24,800 r=0.12

Replacing terms:

A=24,800(1-0.12)^t

Now, the y-intercept is the value obtained when t=0, so substituting this on the equation give us the following result:

A=24,800(1-0.12)^0 = 24,800(0.88)^0= 24,800*1=24,800

The starting value is $24,800