You are choosing between the following investment strategies: i. Invest $200 in stock A. Stock A costs $20 per share. Expected yield per share of stock A is $2, and the variance of yield per share is 9 ($-squared). ii. Invest $200 in stock B. Stock B costs $10 per share. Expected yield per share of stock B is $.90, and the variance of yield per share is 1 ($-squared). iii. Invest $100 in stock A and $100 in stock B. The correlation between yield per share of stock A and yield per share of stock B is .12. a.Which investment strategy has the highest expected yield? b. Assuming that yields for each stock are approximately normally distributed, with which investment strategy do you have the smallest chance of losing money? QUESTION 1 Find the area of the triangle having the given measurements. Round to the nearest square unit.A = 20°, b = 12 inches, c = 6 inches A. 11 square inches B. 34 square inches C. 10 square inches D. 12 square inches QUESTION 2 Evaluate the expression arctan(2.2). Round your result to three decimal places. A. 1.244 B. -0.524 C. 1.450 D. 1.144 QUESTION 3 A. B. C. D. QUESTION 4 An electric hoist is being used to lift a beam. The diameter of the drum on the hoist is 8 inches, and the beam must be raised 2.5 feet. Find the number of degrees through which the drum must rotate. Round your answer to nearest whole number. A. 37 degrees B. 39 degrees C. 36 degrees D. 38 degrees QUESTION 5 Given two sides and an angle of a triangle. Solve the triangle.C = 114°, c = 87, b = 12 A. A = 58.76° B = 7.24° a = 81.43 B. A = 20° B = 47° a =97.85 C. A = 6° B = 60° a = 81.43 D. A = 12° B = 115° a =48.98 QUESTION 6 A triangle has the following measurements: A = 82° B = 65° b = 36. Determine side a. A. a = 13.16 B. a = 39.34 C. a = 38.38 D. a = 36.55 QUESTION 7 Given a triangle has sides a = 32 ft, b = 24 ft, c = 36 ft. Determine the area of the triangle. , rounded to nearest whole number. A. 229 square feet B. 302 square feet C. 376 square feet D. 344 square feet QUESTION 8 A. 7,000 B. 5,130 C. 1,601 D. 1,605 QUESTION 9  Which of the following are solutions to: sec2x-6secx-7=0 A. arcsec(-7) or arcsec(-1) B.  arcsec(7) or arcsec(-1) C.  arcsec(-7) or arcsec(1) D.  arcsec(7) or arcsec(1) QUESTION 10 A triangle has sides a = 5, c = 9, and angle B = 54° Determine angle A. A. A = 25.55° B. A = 23.25° C. A = 21.67° D. A = 33.72° QUESTION 11 A. B. C. D. QUESTION 12 Solve: ln(x+5)-ln(x)=ln2 A. 5 B. -2 C. 0 D. 1 QUESTION 13 Solve: ln(3x2-2)=ln(-6x2+2) A. -3 B. 1 C. 3/2 D. 2/3, -2/3 QUESTION 14 A sprinkler on a golf green is set to spray water over a distance of 15 meters and to rotate through an angle of 170°. Find the area of the region. Round your answer to two decimal places. A. 316.12 squared meters B. 333.79 squared meters C. 335.00 squared meters D. 311.13 squared meters QUESTION 15 A. 8 + 8i B.  16i C.  32 D. 8 + i QUESTION .

1. You are choosing between the following investment strategies:
i. Invest $200 in stock A. Stock A costs $20 per share. Expected
yield per share of stock A is $2, and the variance of yield per
share is 9 ($-squared).
ii. Invest $200 in stock B. Stock B costs $10 per share.
Expected yield per share of stock B is $.90, and the variance of
yield per share is 1 ($-squared).
iii. Invest $100 in stock A and $100 in stock B. The correlation
between yield per share of stock A and yield per share of stock
B is .12.
a.Which investment strategy has the highest expected yield?
b. Assuming that yields for each stock are approximately
normally distributed, with which investment strategy do you
have the smallest chance of losing money?
QUESTION 1
Find the area of the triangle having the given measurements.
Round to the nearest square unit.A = 20°, b = 12 inches, c = 6
inches
A.
11 square inches
B.
34 square inches
C.
10 square inches
D.
12 square inches

2. QUESTION 2
Evaluate the expression arctan(2.2). Round your result to three
decimal places.
A.
1.244
B.
-0.524
C.
1.450
D.
1.144
QUESTION 3
A.
B.
C.
D.
QUESTION 4

3. An electric hoist is being used to lift a beam. The diameter of
the drum on the hoist is 8 inches, and the beam must be raised
2.5 feet. Find the number of degrees through which the drum
must rotate. Round your answer to nearest whole number.
A.
37 degrees
B.
39 degrees
C.
36 degrees
D.
38 degrees
QUESTION 5
Given two sides and an angle of a triangle. Solve the triangle.C
= 114°, c = 87, b = 12
A.
A = 58.76° B = 7.24° a = 81.43
B.
A = 20° B = 47° a =97.85
C.
A = 6° B = 60° a = 81.43
D.
A = 12° B = 115° a =48.98
QUESTION 6
A triangle has the following measurements: A = 82° B = 65° b =
36. Determine side a.

4. A.
a = 13.16
B.
a = 39.34
C.
a = 38.38
D.
a = 36.55
QUESTION 7
Given a triangle has sides a = 32 ft, b = 24 ft, c = 36 ft.
Determine the area of the triangle. , rounded to nearest whole
number.
A.
229 square feet
B.
302 square feet
C.
376 square feet
D.
344 square feet
QUESTION 8

5. A.
7,000
B.
5,130
C.
1,601
D.
1,605
QUESTION 9
Which of the following are solutions to:
sec2x-6secx-7=0
A.
arcsec(-7) or arcsec(-1)
B.
arcsec(7) or arcsec(-1)
C.
arcsec(-7) or arcsec(1)
D.
arcsec(7) or arcsec(1)
QUESTION 10
A triangle has sides a = 5, c = 9, and angle B = 54° Determine
angle A.
A.
A = 25.55°

6. B.
A = 23.25°
C.
A = 21.67°
D.
A = 33.72°
QUESTION 11
A.
B.
C.
D.

7. QUESTION 12
Solve: ln(x+5)-ln(x)=ln2
A.
5
B.
-2
C.
0
D.
1
QUESTION 13
Solve: ln(3x2-2)=ln(-6x2+2)
A.
-3
B.
1
C.
3/2
D.
2/3, -2/3
QUESTION 14
A sprinkler on a golf green is set to spray water over a distance
of 15 meters and to rotate through an angle of 170°. Find the
area of the region. Round your answer to two decimal places.

8. A.
316.12 squared meters
B.
333.79 squared meters
C.
335.00 squared meters
D.
311.13 squared meters
QUESTION 15
A.
8 + 8i
B.
16i
C.
32

9. D.
8 + i
QUESTION 16
A.
3°
B.
87°
C.
-3°
D.
60°
QUESTION 17
A.
B.
C.
D.
QUESTION 18
Find the absolute value of the complex number. z = 1 – 7i

10. A.
5
B.
-7
C.
0
D.
7
QUESTION 19
Write the complex number 2 - 2i in trigonometric form.
A.
B.
C.
D.
QUESTION 20
A.
B.

11. C.
D.
QUESTION 21
Find the radian measure of the central angle of the circle of
radius 7 centimeters that intercepts an arc of length 15
centimeters. Round to three decimals.
A.
2.143
B.
30.401
C.
.554
D.
4.421
E.
3.901
QUESTION 22
A.
1, 1/3
B.
-1, 1/3
C.

12. 1, -1/3
D.
-1/3
QUESTION 23
A.
B.
C.
D.
QUESTION 24
1.

13. A.
0
B.
C.
D.
QUESTION 25
A.
B.
C.
Cannot be determined
D.