I'm assuming your dividing 4/15 by 2/3.
The answer is not exact, but a close estimate.
4/15 /2/3 = 8/45
C.) -3, 1. is the answer because when you look at the graph it’s the only one that doesn’t touch the line through the graph.
Answer:
$9.3 million
Step-by-step explanation:
Given that the company profit increases by 9% yearly from 2005.
Using the exponential growth formula;
A = P(1+r)^(t) .....1
Where;
A = final amount/value of profit
P = initial amount/value = $6.6 million
r = growth rate yearly = 9% = 0.09
t = time of growth in years = 2009 - 2005 = 4 years
Substituting the values;
A = 6.6(1+0.09)^(4)
A = 6.6(1.09)^(4)
A = 9.3164386 million
A = $9.3 million
The companies profit in the year 2009 to the nearest 10th of $1 million is $9.3 million
10. from the question; the circle theorem obeyed is "angled formed by semi-circle"
The angle formed in a semicircle is 90 degrees, hence
![m\angle XYZ=90^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20XYZ%3D90%5E%7B%5Ccirc%7D)
This gives
![m\angle YXZ\text{ + m}\angle YZX\text{ = 90}](https://tex.z-dn.net/?f=m%5Cangle%20YXZ%5Ctext%7B%20%2B%20m%7D%5Cangle%20YZX%5Ctext%7B%20%3D%2090%7D)
But
![\begin{gathered} m\angle YXZ\text{ = 2x + 8} \\ m\angle YZX\text{ = 5X - 2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20m%5Cangle%20YXZ%5Ctext%7B%20%3D%202x%20%2B%208%7D%20%5C%5C%20m%5Cangle%20YZX%5Ctext%7B%20%3D%205X%20-%202%7D%20%5Cend%7Bgathered%7D)
Substituting values we get
![\begin{gathered} 2x\text{ + 8 + 5x - 2 = 90} \\ 2x\text{ + 5x + 8 - 2 = 90} \\ 7x\text{ + 6 = 90} \\ 7x\text{ = 90 -6} \\ 7x\text{ = 84} \\ \text{divide both sides by 7} \\ x\text{ = }\frac{84}{7} \\ x\text{ = 12} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202x%5Ctext%7B%20%2B%208%20%2B%205x%20-%202%20%3D%2090%7D%20%5C%5C%202x%5Ctext%7B%20%2B%205x%20%2B%208%20-%202%20%3D%2090%7D%20%5C%5C%207x%5Ctext%7B%20%2B%206%20%3D%2090%7D%20%5C%5C%207x%5Ctext%7B%20%3D%2090%20-6%7D%20%5C%5C%207x%5Ctext%7B%20%3D%2084%7D%20%5C%5C%20%5Ctext%7Bdivide%20both%20sides%20by%207%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B84%7D%7B7%7D%20%5C%5C%20x%5Ctext%7B%20%3D%2012%7D%20%5Cend%7Bgathered%7D)
hence, x =12
Answer:
y = 4sin( π/12) + 5
Step-by-step explanation:
For a sinusidal function :
y = Asin(w + c) + s
Where ; A = amplitude ; w= angular velocity, s = vertical Displacement, c = phase angle
A = (maximum - minimum) / 2
A = (9 - 1) /2 = 8/2 = 4 feets
w = 2π/T ; T = 24
w = 2π/24 = π/12
s = (maximum - minimum) / 2
s = (9 +1) /2 = 10/2 = 5
c = 0
Plugging our values into the general equation :
y = Asin(w + c) + s
y = 4sin( π/12) + 5