What's the quadratic equation for this problem? - mrs stock freeones
Mr. Billings will receive $ 72 per year in dividends from certain actions. Mrs. Billings received $ 50 other stocks worth less than $ 200 and whose position was lower by 1 percent. Here you will find the best prices.
Saturday, January 9, 2010
Mrs Stock Freeones What's The Quadratic Equation For This Problem?
5 comments:
Let
x = value of the shares in Billings D.
d = rate of population D. Billings
Formula 1 - Mr. Billings will receive $ 72 per year in dividends from certain actions
xd = 72
x = 72 / d
Equation 2 - Ms. Billings will receive $ 50 other stocks worth less than $ 200 and whose position was lower by 1 percent.
(x - 200) (d - 0.01) = 50
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Since x = 72 / j (from equation 1), then Equation 2 is
[(72 / d) - 200] (d - 0.01) = 50
Multiplying both sides with "d"
(72 - 200D) (d - 0.01) = 50D
(-200D + 72) (d - 0.01) = 50D
200D-72D + ^ 2 + 2d - 0.72 = 50D
-200D ^ 2 + 74d - 50D - 0.72 = 0
200D ^ 2 - 24D + 0.72 = 0
With the solution formula
d = 0.06 = 6%
Hope this helps.
We are talking about the highest rate, x is the highest rate, the rate of Billings. The proportion of Billings, then Madam X - .01.
We write instead of an equation for the value of the shares by Mr. Billings from Mrs Billings.
72 / x = 200 + 50 / (x - 01)
72 (x - .01) = 200x (x - 01) + 50 x
This extends the quadratic equation that you want.
We are talking about the highest rate, x is the highest rate, the rate of Billings. The proportion of Billings, then Madam X - .01.
We write instead of an equation for the value of the shares by Mr. Billings from Mrs Billings.
72 / x = 200 + 50 / (x - 01)
72 (x - .01) = 200x (x - 01) + 50 x
This extends the quadratic equation that you want.
This higher rate = R%
Superior Worth = $ X
Value = x 2 - $ 200
2. Speed = R-1%
Now
$ 50 = (x-200). (R-1) / 100
5000 = xr-x - 200r 200
xr-x - 200r = 4800 .......................... [1]
Also
$ 72 = xr/100
XR = 7200
x = 7200 / R ..................................... [2 [
In [1] and [2]
7200 - 7200 / R-200R = 4800
7200.r - 7200-200. (R) ^ 2 = 4800
200 (R) ^ 2 - 7200.r + 12000 = 0
r ^ 2 - 36.r + 60 = 0
r = 34.25%, r = 1.75%
Thus, the highest rate ........... Answer = 34.25%
Let X be the value of the share of R and give a dividend payment of $ 72, after a year.
R * X = 72 ----( 1)
(r - 0.01) * (X - 200) = 50 ----( 2)
From (1), X = 72 / r ----( 3)
Substitute (3) (2)
(r - 0.01) (72 / R - 200) = 50
72 - 200R - 0.72 / R + 2 = 50
-200R - 0.72 R / + 24 = 0
200r ^ 2 - 24r + 0.72 = 0
200 (r ^ 2 - 0.12r + 0.0036) = 0
200 (r - 0.06) ^ 2 = 0
r = 0.06
The highest rate of 6%
200r ^ 2 - 222r + 72 = 0
200 (r ^ 2 - 1.11r + 0.36) = 0
200 (r - 0.555) ^ 2 = 0
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