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Diano4ka-milaya [45]
3 years ago
15

Ninas car exponentially depreciates at a rate of 7 percent per year. If nina bought the car when it was 6 years old for 12000, w

hat was the original price of the car
Mathematics
2 answers:
lys-0071 [83]3 years ago
7 0
The original price of the car would be $17,040 brand new 
hope this helps 
frutty [35]3 years ago
4 0

Answer:

A(6) = 12000 = A_o e^{-0.07 *6}

And solving for the initial amount A_o we got:

A_o = \frac{12000}{e^{-0.07*6}}= 18263.539

So then the original price for the car would be approximately 18263.539$

Step-by-step explanation:

For this case we can use the exponential model given by:

A(t) = A_o e^{bt}

Where:

A_o represent the initial amount for the car

b=-0.07 represent the exponential growth/decay rate

t represent the number of years. With t =0 at the begin

After 6 year we have that t =6, and we know this condition:

A(6) = 12000

So then we can use the exponential model formula and the condition given and we have this:

A(6) = 12000 = A_o e^{-0.07 *6}

And solving for the initial amount A_o we got:

A_o = \frac{12000}{e^{-0.07*6}}= 18263.539

So then the original price for the car would be approximately 18263.539$

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