You would times 19,655 by .047 giving you 923.785. Next you would round you number to 923.79. fallowed by times it by 8, since that is the amount of years asked. leaving your car with a depreciated value of $12,264.68.
Answer:
![C(x) = \left[\begin{array}{ccc}4x &0 \le x \le 2& \\4 +2x &2 < x \le 6& \\16 &6](https://tex.z-dn.net/?f=C%28x%29%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4x%20%260%20%5Cle%20x%20%5Cle%202%26%20%5C%5C4%20%2B2x%20%262%20%3C%20x%20%5Cle%206%26%20%5C%5C16%20%266%3Cx%5Cle%208%26%20%5Cend%7Barray%7D%5Cright)
Step-by-step explanation:
Given
See attachment for question
Required
The piece-wise function
From the attachment, we have:
(1) $4/hr for first 2 hours
This is represented as:
The domain is: ![0 \le x \le 2](https://tex.z-dn.net/?f=0%20%5Cle%20x%20%5Cle%202)
(2) $2/hr for next 4 hours
Here, we have:
![Rate = 2](https://tex.z-dn.net/?f=Rate%20%3D%202)
The total cost in the first 2 hours is:
![C(2) = 4*2 = 8](https://tex.z-dn.net/?f=C%282%29%20%3D%204%2A2%20%3D%208)
So, this function is represented as:
----- 2 represents the first 2 hours
So, we have:
![C(x) = C(2) + Rate * (Time - 2)](https://tex.z-dn.net/?f=C%28x%29%20%3D%20C%282%29%20%2B%20Rate%20%2A%20%28Time%20-%202%29)
![C(x) =8 + 2(x - 2)](https://tex.z-dn.net/?f=C%28x%29%20%3D8%20%2B%202%28x%20-%202%29)
Open brackets
![C(x) =8 + 2x - 4](https://tex.z-dn.net/?f=C%28x%29%20%3D8%20%2B%202x%20-%204)
Collect like terms
![C(x) =8 - 4+ 2x](https://tex.z-dn.net/?f=C%28x%29%20%3D8%20-%204%2B%202x)
![C(x) =4+ 2x](https://tex.z-dn.net/?f=C%28x%29%20%3D4%2B%202x)
The domain is:
![2 < x \le 2 + 4](https://tex.z-dn.net/?f=2%20%3C%20x%20%5Cle%202%20%2B%204)
![2](https://tex.z-dn.net/?f=2%20%3Cx%20%5Cle%206)
(3) 0 charges for the last 2 hours
The maximum charge from (2) is:
![C(x) =4+ 2x](https://tex.z-dn.net/?f=C%28x%29%20%3D4%2B%202x)
![C(6) = 4 + 2*6](https://tex.z-dn.net/?f=C%286%29%20%3D%204%20%2B%202%2A6)
![C(6) = 4 + 12](https://tex.z-dn.net/?f=C%286%29%20%3D%204%20%2B%2012)
![C(6) = 16](https://tex.z-dn.net/?f=C%286%29%20%3D%2016)
Since there will be no additional charges, then:
![C(x) = 16](https://tex.z-dn.net/?f=C%28x%29%20%3D%2016)
And the domain is:
--- 8 represents the limit
So, we have:
![C(x) = \left[\begin{array}{ccc}4x &0 \le x \le 2& \\4 +2x &2 < x \le 6& \\16 &6](https://tex.z-dn.net/?f=C%28x%29%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4x%20%260%20%5Cle%20x%20%5Cle%202%26%20%5C%5C4%20%2B2x%20%262%20%3C%20x%20%5Cle%206%26%20%5C%5C16%20%266%3Cx%5Cle%208%26%20%5Cend%7Barray%7D%5Cright)
Answer:
Step-by-step explanation:
Starting time: 9:55 A.M. Elapsed time: 27 minutes
That’s a good savings plan
Answer:
he will give out about 33 buttons to each grade level