Answer:
-3
Step-by-step explanation:
The area of the entire sector of DEF = 60 / 360 * PI * radius^2
sector area = 1 / 6 * 3.14159265... * 20^2
sector area =
<span>
<span>
<span>
209.4395102393
</span>
</span>
</span>
segment area = sector area - triangle DEF Area
triangle DEF Area = (1/2) * 20 * sine 60 * 20
triangle DEF Area = (1/2) * 0.86603 * 400
triangle DEF Area = <span><span><span>(1/2) * 346.412
</span>
</span>
</span>
triangle DEF Area =
<span>
<span>
<span>
173.206
</span>
</span>
</span>
segment area = <span>
<span>
209.4395102393
</span>
-173.206
</span>
segment area =
<span>
<span>
<span>
36.2335102393
</span>
</span>
</span>
segment area =
36.23 m
Source:
http://www.1728.org/circsect.htm
The answer is B. 3
It is the only value not attached to a variable, thus remaining constant.
So an exponential equation is gonna be used for this problem. The formula for such is

, in which the a variable is the initial value and the b variable is the growth/decay rate.
For this situation, 1200 is gonna be your a variable since you've started out with it. And as for your b variable, its gonna be 107.3%, or 1.073, since it's increasing.
Your equation should look like this:

and from here just plug in 10 into the x variable and solve.
Multiply (1.073)^10 (don't round answers until the end), and take that answer and multiply it with 1200, your answer should be $2427.61.
Rearrange the numbers in order from least to greatest:
<span>6, 1, 5, 2, 6, 5, 2, 6, 5
1, 2, 2, 5, 5, 5, 6, 6, 6
The number 1 is used once. The number 2 is used twice. Numbers 5 and 6 are used three times.
The mode is the number that is represented most in a set of numbers. Since 5 and 6 are both represented three times, these numbers will be the mode for this set.
The answers are C. 5 and D. 6.</span>