9 years
<span>Years Value </span>
<span>1 34000 </span>
<span>2 28900 </span>
<span>3 24565 </span>
<span>4 20880.25 </span>
<span>5 17748.2125 </span>
<span>6 15085.980625 </span>
<span>7 12823.08353125 </span>
<span>8 10899.6210015625 </span>
<span>9 9264.6778513281 </span>
<span>10 7874.9761736289
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The cosine of an angle is the x-coordinate of the point where its terminal ray intersects the unit circle. So, we can draw a line at x=-1/2 and see where it intersects the unit circle. That will tell us possible values of θ/2.
We find that vertical line intersects the unit circle at points where the rays make an angle of ±120° with the positive x-axis. If you consider only positive angles, these angles are 120° = 2π/3 radians, or 240° = 4π/3 radians. Since these are values of θ/2, the corresponding values of θ are double these values.
a) The cosine values repeat every 2π, so the general form of the smallest angle will be
... θ = 2(2π/3 + 2kπ) = 4π/3 + 4kπ
b) Similarly, the values repeat for the larger angle every 2π, so the general form of that is
... θ = 2(4π/3 + 2kπ) = 8π/3 + 4kπ
c) Using these expressions with k=0, 1, 2, we get
... θ = {4π/3, 8π/3, 16π/3, 20π/3, 28π/3, 32π/3}
8.40$ divided by 5 = 1.68$ each pound which makes 1.68$ the unit price per pound.
Now to check the answer 1.68$ times 5 gives us a total of 8.40$
I assume you mean 9+52,
If so you can add the 9 and the 2 together:
9+2 = 11
Then you can add the 11 on to the 50 to get the final answer:
50+11 = 61
Hope this helps! :)