Answer:
x = 0 and x = 2/3 are solutions to the eqution
Step-by-step explanation:
Hi there!
Let´s write the equation:
x/4 = x² / (x + 2)
Multiply both sides of the equation by (x + 2):
1/4 · x · (x + 2) = x²
Apply distributive property:
1/4 · x² + 1/2 · x = x²
Substract x² to both sides of the equation:
-x² + 1/4 · x² + 1/2 · x = 0
-3/4 · x² + 1/2 · x = 0
x(-3/4 · x + 1/2)
x = 0
and
-3/4 · x + 1/2 = 0
Substract 1/2 to both sides of the equation:
-3/4 · x = -1/2
divide by -3/4 both side of the equation:
x = -1/2 / -3/4
x = 2/3
Let´s check the solutions:
x = 0
0/4 = 0 / 0 + 2
0 = 0
x = 2/3
2/3 / 4 = (2/3)² / (2/3 + 2)
1/6 = 1/6
Then x = 0 and x = 2/3 are solutions to the eqution
I think it’s the second one, not 100% sure
Answer:
2/9. Decimal form is 0.222....
Step-by-step explanation:
Given:
Original cost of car = $21000
Rate of depreciation = 15% = 0.15
Time = 5 years
To find:
The value of car after 5 years.
Solution:
Consider the model for car depreciation is
![V=C(1-r)^t](https://tex.z-dn.net/?f=V%3DC%281-r%29%5Et)
where, C is the original cost, V is the value of the car after t years, and r is the rate of depreciation.
Substitute C=21000, r=0.15 and t=5 in the above model.
![V=21000(1-0.15)^5](https://tex.z-dn.net/?f=V%3D21000%281-0.15%29%5E5)
![V=21000(0.85)^5](https://tex.z-dn.net/?f=V%3D21000%280.85%29%5E5)
![V=21000(0.4437)](https://tex.z-dn.net/?f=V%3D21000%280.4437%29)
![V=9317.7](https://tex.z-dn.net/?f=V%3D9317.7)
![V\approx 9318](https://tex.z-dn.net/?f=V%5Capprox%209318)
The value of car after 5 years is $9318. Therefore, the correct option is C.