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Over [174]
2 years ago
9

State whether the decay is linear or​ exponential, and answer the associated question. The value of a car is decreasing by 9​% p

er year. If the car is worth ​$11 comma 000 ​today, what will it be worth in two​ years? g
Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
7 0

Answer:

  • Exponential
  • A(2)=$9109.10

Step-by-step explanation:

Since the value of the car decreases by a common factor each year, the decay is exponential.

An exponential decay function is of the form

A(t)=A_0(1-r)^t$ where:\\Initial Value, A_0=\$11,000\\$Decay Factor, r=9%=0.09

Therefore, the function modeling the car's decay is:

A(t)=11000(1-0.09)^t

We want to determine the car's value in two years.

When t=2

A(2)=11000(1-0.09)^2\\A(2)=\$9109.10

The value of the car in 2 years will be A(t)=$9109.10

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