Answer:
The short answer is there isn’t.
Start by writing each of these as an expression:
x * y = 60
x + y = 7
Next, solve each for the same variable; in this case, y:
(x * y) / x = 60 / x
.: y = 60 / x
(x + y) - x = 7 - x
.: y = 7 - x
Next, replace y of the second expression to the first
y = 60 / x & y = 7 - x
.: 7 - x = 60 / x
Now, solve for x:
(7 - x) * x = (60 / x) * x
.: x * 7 - x^2 = 60
This is quadratic, so write it in the form of ax2 + bx + x = 0
(-1)x^2 + (7)x + (-60) = 0
.: a = -1, b = 7, c = -60
Finally solve for b:
x = (-b +- sqrt(b^2 - 4*a*c)) / 2a
.: x = (-7 +- sqrt(7^2 - 4*-1*-60)) / (2 * -1)
.: x = (-7 +- sqrt(49 - 240)) / -2
.: x = (-7 +- sqrt(-191)) / -2
The square root of a negative value is imaginary and thus there’s no real answer to this problem.
The tax bracket and tax-free yield will be (18%, 3%) < (32%, 3%) < (32% , 4%) < (22% , 5%) < (24% , 6%) .
<h3>
Taxable equivalent yield based problem:</h3>
The taxable equivalent yield will be:
= Tax-free yield / (100 - Tax bracket)
Taxable equivalent yield = 3 / (100 - 18) = 0.03659
Taxable equivalent yield = 6 / (100 - 24) = 0.07895
Taxable equivalent yield = 3 / (100 - 32) = 0.04412
Taxable equivalent yield = 5 / (100 - 22) = 0.06410
Taxable equivalent yield = 4 / (100 - 32) = 0.05882
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A mixed number is a combination of a whole number and a fraction, so in this case we have 8 as the whole part and 0.45 as the fraction, 0.45 is equal to 45/100, and that fraction can be simplified as well, lets see:
8.45 = 8 45/100
= 8 9/20
Here total available flowers are a lily,a rose , a carnation , a daisy, a dahlia and an iris that is 6 .
And florist is going to make a five flower arrangement from the given 6 flowers without selecting a daisy. SO he have a total of 5 flowers available .
Therefore required probability = 5/6
So i drew 12 circles and 37 circles
And i got 49 total:D
i hope this helps and sorry that the pic is wierd:(
