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Assoli18 [71]
2 years ago
5

Read the problem to choose the correct method, then solve. A farmer buys a tractor for $50,000. If the tractor depreciates 10% p

er year, use an exponential function to find the value of the tractor in 7 years. AD CO Exponential Growth, $97,435.86 Exponential Decay, $23,914.85 Exponential Growth, $315,000 Exponential Decay, 21,523.36​
Mathematics
1 answer:
OlgaM077 [116]2 years ago
5 0

Answer:

The correct option is, Exponential Decay, $23,914.85.

Step-by-step explanation:

A farmer buys a tractor for $50,000.

It is provided that the the tractor depreciates 10% per year.

The exponential function for decay is:

y=a\cdot (1-r\%)^{t}

Here,

a = initial value

r = decay rate

t = time

Compute the value of the tractor in 7 years as follows:

y=a\cdot (1-r\%)^{t}

  =50000\times (1-0.10)^{7}\\\\=50000\times 0.4782969\\\\=23914.845\\\\\approx 23914.85

Thus, the correct option is, Exponential Decay, $23,914.85.

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