we can use formula
![y=ab^x](https://tex.z-dn.net/?f=%20y%3Dab%5Ex%20)
now, we can find a and b
Initially , price is 500
so,
At ![x=0,y=500](https://tex.z-dn.net/?f=%20x%3D0%2Cy%3D500%20)
![500=ab^0](https://tex.z-dn.net/?f=%20500%3Dab%5E0%20)
![a=500](https://tex.z-dn.net/?f=%20a%3D500%20)
now, we can plug back
![y=500(b)^x](https://tex.z-dn.net/?f=%20y%3D500%28b%29%5Ex%20)
At ![x=3,y=10](https://tex.z-dn.net/?f=%20x%3D3%2Cy%3D10%20)
we can use it and find b
![10=500(b)^3](https://tex.z-dn.net/?f=%2010%3D500%28b%29%5E3%20)
now, we can solve for b
and we get
![b=0.27144](https://tex.z-dn.net/?f=%20b%3D0.27144%20)
so,
annual depreciation rate is 27.144%.......Answer
Since the full price is $12 and the person paid one shirt full price and the other 50% off, the fraction would be 6/12. When you simplify that fraction you are left with 1/2. This means that the answer you are looking for is letter C.
<u>Simplifying the equation:</u>
We are given the bi-quadratic equation:
9x⁴-3x²+1
to factorise this equation, we will convert it to a quadratic equation and factor it from there
in the given equation, let x² = y
now, the equation looks like:
9y² - 3y + 1
<u>Finding the Factors </u><em><u>(in terms of y)</u></em><u>:</u>
Using the quadratic formula: x = -b±√(b²-4ac) / 2a
replacing the variables in the equation
y = [-(-3) ± √[(-3)² - 4(9)(1)]]/2(9)
y= [3 ± √-27]/18
y = (1 ± √-3 / 6)
The 2 solutions are:
y = (1 + √-3 / 6) and y = (1 - √-3 / 6)
<u>Finding the values of 'x':</u>
<em>Since y = x²:</em>
x² = (1 + √-3 / 6) and x² = (1 - √-3 / 6)
<em>taking the square root of both sides</em>
x = √(1 + √-3 / 6) and x = √(1 - √-3 / 6)
As we can see, the given equation has complex roots and cannot be simplified further
Find the mean median and mode of 15, 13, 9, 9, 7, 1, 11, 10, 13, 1, 13
forsale [732]
1. Median= 9
Mode= 13
2. Mean= <span>75.772727272727
Median= </span>76.5
Mode= 63