It could be x > 21 im not sure
Answer:
i literally just finished watching it lol
Answer:
Step-by-step explanation:
A for sure
Answer:
The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:
![f(t) = 10000(0.9407)^t](https://tex.z-dn.net/?f=f%28t%29%20%3D%2010000%280.9407%29%5Et)
Step-by-step explanation:
Value of the car:
Constant rate of change, so the value of the car in t years after 2012 is given by:
![f(t) = f(0)(1-r)^t](https://tex.z-dn.net/?f=f%28t%29%20%3D%20f%280%29%281-r%29%5Et)
In which f(0) is the initial value and r is the decay rate, as a decimal.
In 2012 your car was worth $10,000.
This means that
, thus:
![f(t) = 10000(1-r)^t](https://tex.z-dn.net/?f=f%28t%29%20%3D%2010000%281-r%29%5Et)
2014 your car was worth $8,850.
2014 - 2012 = 2, so:
![f(2) = 8850](https://tex.z-dn.net/?f=f%282%29%20%3D%208850)
We use this to find 1 - r.
![f(t) = 10000(1-r)^t](https://tex.z-dn.net/?f=f%28t%29%20%3D%2010000%281-r%29%5Et)
![8850 = 10000(1-r)^2](https://tex.z-dn.net/?f=8850%20%3D%2010000%281-r%29%5E2)
![(1-r)^2 = \frac{8850}{10000}](https://tex.z-dn.net/?f=%281-r%29%5E2%20%3D%20%5Cfrac%7B8850%7D%7B10000%7D)
![(1-r)^2 = 0.885](https://tex.z-dn.net/?f=%281-r%29%5E2%20%3D%200.885)
![\sqrt{(1-r)^2} = \sqrt{0.885}](https://tex.z-dn.net/?f=%5Csqrt%7B%281-r%29%5E2%7D%20%3D%20%5Csqrt%7B0.885%7D)
![1 - r = 0.9407](https://tex.z-dn.net/?f=1%20-%20r%20%3D%200.9407)
Thus
![f(t) = 10000(1-r)^t](https://tex.z-dn.net/?f=f%28t%29%20%3D%2010000%281-r%29%5Et)
![f(t) = 10000(0.9407)^t](https://tex.z-dn.net/?f=f%28t%29%20%3D%2010000%280.9407%29%5Et)
H = 10 cm, a - edge;
V = 1/3 a²√3 / 4 * h
h² = ( 2/3 * a√3 / 2 )² + a²
100 = a²/3 + a²
100 = 4 a² / 3
a² = 75
a = √75
a = 5 √3 cm
V = 1/2 * 75√3 / 4 * 10 = 250√3 / 4 = 62.5√3 cm³ ≈ 108.25 cm³