It is an 8/15 probability. there are 15 marbles total (5y+7p+3pl=15)
5/15y, 7/15p, 3/15.
5/15+3/15= 8/15
Answer:
£9318.96
Step-by-step explanation:
18000×0.7×0.86^(2)=£9318.96
Answer:
$72.5
Step-by-step explanation:
- Initial value = $200
- Depreciated value after 4 years = $115
<u>Since depreciation rate is linear, then:</u>
- 200 - 4x = 115
- 4x = 200 - 115
- 4x = 85
- x = 85/4
- x = 21.25
<u>Value after 6 years:</u>
- 200 - 6*21.25 = 200 - 127.5 = $72.5
The final angle has an angle measure of 115 degrees.
Answer:
Step-by-step explanation:
Let the solution to
2x^2 + x -1 =0
x^2+ (1/2)x -(1/2)
are a and b
Hence a + b = -(1/2) ( minus the coefficient of x )
ab = -1/2 (the constant)
A. We want to have an equation where the roots are a +5 and b+5.
Therefore the sum of the roots is (a+5) + (b+5) = a+ b +10 =(-1/2) + 10 =19/2.
The product is (a+5)(b+5) =ab + 5(a+b) + 25 = (-1/2) + 5(-1/2) + 25 = 22.
So the equation is
x^2-(19/2)x + 22 =0
2x^2-19x + 44 =0
B. We want the roots to be 3a and 3b.
Hence (3a) + (3b) = 3(a+b) = 3(-1/2) =-3/2 and
(3a)(3b) = 9(ab) =9(-1/2)=-9/2.
So the equation is
x^2 +(3/2) x -9/2 = 0
2x^2 + 3x -9 =0.
