<h3>
Answer: Choice B</h3>
Explanation:
Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.
Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.
Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.
Choice D is ruled out for similar reasoning as choice A. Recall that 
Answer:
Time = T half–years , Rate = 5 % per half year
2
Answer:
Step-by-step explanation:
Let's call the two numbers x and y. We can write a system of equations to describe the situation:
5x = 8y
x - y = 150
Let's solve the first equation for x:
x = 8y/5
Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:
(8y/5) - y = 150
Simplify:
3y/5 = 150
3y = 750
y = 250
If y = 250, then x is:
x = 8(250)/5 = 400
The answer is 250 and 400.
Answer:
A = $47,500.00, B = $65,536.00; B, because he receives $18,036.00 more
Step-by-step explanation:
Option A Versus Option B
Option A Option B
Day Amount Deposited Day Amount Deposited
0 $40,000.00 0 $1.00
1 $40,250.00 1 $2.00
2 $40,500.00 2 $4.00
...
30 $47,500 16 $65,536.00
Answer:
A = $47,500.00, B = $65,536.00; B, because he receives $18,036.00 more
