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:
b. ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
The scale factor is the number by which one must multiply all sides in a triangle such that its sides are the same as another triangle. This only works in similar triangles (triangles where all of the angles between them are congruent or have the same measures).
<span>∠BCA = 120 /2 = 60
answer
</span><span>∠BCA</span>
There are 4 terms.
The second term and the fourth term have negative coefficients.
Terms are only negative depending on the value of the variables.