Answer:
Since the price is given by an exponential function, the decline in price is exponential.
The component will cost $36.8475 in three years.
Step-by-step explanation:
The equation for the price of a component has the following format:
![P(t) = P(0)(1-r)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29%281-r%29%5E%7Bt%7D)
In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.
Since the price is given by an exponential function, the decline in price is exponential.
The price of a computer component is decreasing at a rate of 15% per year.
This means that ![r = 0.15](https://tex.z-dn.net/?f=r%20%3D%200.15)
Component costs $60 today
So P(0) = 60. Then
![P(t) = P(0)(1-r)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29%281-r%29%5E%7Bt%7D)
![P(t) = 60(1-0.15)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%2060%281-0.15%29%5E%7Bt%7D)
![P(t) = 60(0.85)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%2060%280.85%29%5E%7Bt%7D)
What will it cost in three years?
This is P(3).
![P(t) = 60(0.85)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%2060%280.85%29%5E%7Bt%7D)
![P(3) = 60(0.85)^{3} = 36.8475](https://tex.z-dn.net/?f=P%283%29%20%3D%2060%280.85%29%5E%7B3%7D%20%3D%2036.8475)
The component will cost $36.8475 in three years.
Answer:
when x equals -3 y equals -23
when x equals 0, y equals -8
when x equals 3, y equals 7
when x equals 6, y equals 22
Step-by-step explanation:
Yes it is a rational number
Hope this helps
Answer:
ertyui
Step-by-step explanation: