Nicholas Linnen
Eunice Ampah
Project 1
21 September 2012
Executive Summary Statement
The problem that presents itself in this situation is meeting your companys order in such
a way to minimize the overall total cost of production. In the following mathema
Math 1160 Section 6.3 Answer Key
4. 6/50 = 3/25 = .12 or 12% 6a. 3/9 = 1/3 6b. 5/9 6c. 6/9 = 2/3 8a. 8b. 8c. 8d. No (do not add up to 1) No (can not have a negative probability) No (do not add up to 1 and can not have a probability of 2) Yes (the pr
Math 1160 Section 6.4 Answer Key
8. Sample Space = 11 balls 6 White and 5 Red Sample Size = 4 balls selected at random Event = 2 white balls and 2 red balls C(6,2) x C(5,2) = 15 x 10 = C(11,4) 330 150 = 5 330 11
11. This is set up the same as the n
Math 1160 Section 6.6 Answer Key
9. 7/12
Draw the tree diagram. Add the probabilities of the branches that end with a red ball.
The probabilities of the different branches are as follows: Pr(white ball, white ball) = 1/3 Pr(white ball, red ball)
Math 1160 Section 5.6 Homework Answer Key
4a. C(12, 4) = 495 4b. C(8, 4) = 70 4c. C(8, 2) x C(4, 2) = 168 Multiply because both must be true (2 red balls AND 2 white balls) 4d. C(8, 3) x C(4, 1) + C(8, 4) x C(4, 0) = 294 (3 red balls AND 1white bal
Math 1160 - Section 5.4 Answer Key
2. 2 x 3 = 6 outfits 4. 26 x 25 = 650 words 8. 26 x 26 x 10 x 10 x 10 x 10 = 6,760,000 license plates 10. 4 x 3 x 2 x 1 = 24 ways 11. 2 x 2 x 2 x 2 x 2 x 2 = 26 = 64 sequences 19. 2 x 2 x 2 x 2 x 2 = 25 = 32 ways 20
Math 1160 Section 1.2 Answer Key
8. D
12. y > 1/2x + 1 16. Yes. Plug the coordinates of the point into the inequality. 24. Cross out the points below the line. The solutions are on and above the line (>). 26. Cross out the points above the line. Th
Math 1160 Section 1.3 Answer Key
2. x = 5, y = 0 10. x = 8 y = -2 16. Point A = (0, 14) Point B = (4, 6) Point C = (6, 3) Point D = (12, 0) *Remember, the equation of the line for the x-axis is y =0. The equation of the line for the y-axis is x = 0.
Math 1160 - Section 5.3 Answer Key
1. S 3 5 2 4 T
2. S 4 7 0 T
9
3. S 4 8 6 T
2
4. S 3 5 2 T
4
10. R 5 0 4 1 3 2 6 T 8 S
14. 622
(The 2 subsets are Scandinavians and Literature. Draw the Venn Diagram.)
S 40 15 86
L
622
18. 50
(The 2 sub
Math 1160 Section 3.2 Answer Key
8. The objective function is maximized at (0, 0). 12. The objective function is minimized at (6, 0). 14. The vertices of the feasible set are: (0, 15), (5, 8), (10, 4), (20, 0) The objective function is maximized (1
Math 1160 Section 5.1 Answer Key
2a. 2b. 2c. 2d. { 4, 5 } { 1, 2, 3, 5 } or { } {5} 4a. 4b. 4c. 4d. { a, b } {a} { a, c } { a, b, c }
8a. {All corporations with headquarters NOT in New York City} 8b. {All publicly-owned corporations} OR {All not p
Western Michigan University
Math 1160 Finite Mathematics
Lecture / Recitation Sections
Syllabus
Spring 2016
Lecturer/Coordinator Information
Lecturer/Guide/Coordinator:
Office:
Phone:
E-mail address:
Office Hours:
Mark Schreiner
5531 Everett Tower
387-473
Chapter 10 Expectations
NOTE: Whenever you see the word communicate, it is implied that you can communicate both
verbally and in writing (using sentences and mathematical notations)!
Section 1: Expectations for Compound Interest, Simple Interest, and Effe
Some of the chapter
10 concepts that
you need to
memorize!
Interest for
a single
compound period is
found by
New Balance (which is found
using the previous balance)
Total interest earned over a
specified period of time (for n compound periods)
(Total inte
Math 1160 Section 10.2 Answer Key
2a. i = .005 or .5% n = 240 R = $520 P = $72582 2b. i = .02 or 2% n = 20 R = $700 P = $11446 4. $626.02 (outflow of cash to you) N = 14 I% = 2 PV = 0 PMT = ? FV = 10000 6. $7360.09 (outflow of cash to you) N = 10 I
Math 1160 Section 2.6 Answer Key
1. $.20 20 cents of energy is required to produce $1 worth of manufactured goods. 2. $.15 15 cents of energy is required to produce $1 worth of services. 3. The energy sector uses the greatest amount of services in o
Math 1160 Section 2.4 Answer Key
- 7 3 4. 5 - 2
1 - 1 6. 0 2
.8 .6 x 2 14. x y = 1 .2 .4 x .8 .6 -1 2 y = .2 .4 x 1 2 2 - 3 x y = - 1 4 x 1 1 x y = 2
s x 1 / 3 1 / 4 16a. x y = w 2 / 3 3 / 4
Math 1160 - Section 11.3 Answer Key
1. 2. 3. 4. 5. 6. 7. 8. Montonic a, b, d, f, h Increasing a, b, d Unbounded b, d, e, f Constant - g Repelled from y = b/(1-a) b, d, e, f Decreasing f, h Absolute value of a < 1 a, c, h a < 0 c, e
10.
12.
Math 1160 Section 10.1 Answer Key
2a. i = .06 or 6% n = 3 2b. i = .005 or .5% n = 54 2c. i = .0225 or 2.25% n = 15 4a. i = .000865 or .0865% n = 52 P = $7170.12 F = $7500 4b. i = .005 or .5% n = 360 P = $3000 F = $18,067.73 4c. i = .02 or 2% n = 152
Math 1160 Section 10.3 Answer Key
2. $1,053.22 (outflow of cash) N = 300 I% = 1 PV = 100000 PMT = ? FV = 0 4. $3,644.68 (The total you paid for the car is the sum of the amount borrowed from the bank plus the $500 cash down payment.) N = 36 I% = .75
Math 1160 Section 1.1 Answer Key
2. Start at the origin (go left 1 unit and up 4 units)
10. D (-8, 10) 14. The point is on the line. Solve 2(1/3) + (1/3)(-1) = -1 18. m = 2/3 b = 0 22. y = 3/4x + 15 26. x-intercept = (0, 0) y-intercept = (0, 0)
3
Math 1160 Section 10.4 Answer Key
1. Interest earned in a traditional IRA is tax deferred. You will pay taxes on the contributions and interest upon withdrawal of the funds from the traditional IRA. 2. Interest earned in a Roth IRA is tax free. You
Math 1160 Section 3.1 Answer Key
4. Yes The point is in the feasible set. (*Do not graph the inequalities. Plug the coordinates of the point into all inequalities and see if the point makes all inequalities true.)
6a. Anthracite Ordinary Bituminou
Math 1160 Section 6.2 Answer Key
8. E F = more than 9 months and less than 2 years E F = more than 9 months OR less than 2 years E = Not more than 9 months 9 months or less F = Not less than 2 years 2 years or more (E F) = Not all times
(all ti
Math 1160 Section 1.4 Answer Key
4. m = -7/5 6. m = -4/5
20. y = (1/3)x + 4/3 (remember the Parallel Property) 22. y = 2x 5 (remember the Perpendicular Property)
32a. y = 40(100) + 2400 $6400 (solve for y given x) 32b. 3600 = 40x + 2400 30 coats