ADAMS STATE UNIVERSITY EXTENDED STUDIES
MATH 104 – FINITE MATHEMATICS
Final Exam
I certify that the student named on this exam did not receive assistance and did not have unauthorized access to
books or notes. I have returned this exam to the instructor on ____________________ (date).
Proctor Name: ______________________________
Signature: _________________________________
Instructions:
SHOW ALL YOUR WORK FOR FULL CREDIT! Partial credit can be earned if you show
your work. You will have two hours to complete this exam. You may use one (1) 8/5x11 sheet of
paper with notes (double-sided) as well as a calculator, which does not calculate payments,
interest, etc. NO OTHER ELECTRONICS, including BUT NOT LIMITED to cell phones,
iPad, iPod, mp4, etc. are permitted in the testing room. You can use scratch paper.
1. Minimize z = 4x + 7y
Subject to:
x–y≥1
3x+2y ≤ 18
x≥0
y≤0
2. Find the simple interest rate if $28,400.00 earned simple interest of $1,420.00 in 10 months.
Round to the nearest tenth of a percent.
Adams State University – Extended Studies©
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December 2016
ADAMS STATE UNIVERSITY EXTENDED STUDIES
MATH 104 – FINITE MATHEMATICS
Final Exam
3. Subtract the 2 matrices below, where possible. If not possible state that it is not possible.
-1 0
6 2
-1 6
3 1
4. Let f(x) = l9x + l Find f(-16)
5. A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of
candy at random. Find the probability of all 3 orange. Round your answer to 4 decimal places.
6. Evaluate the permutation. p (13, 2)
Adams State University – Extended Studies©
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December 2016
ADAMS STATE UNIVERSITY EXTENDED STUDIES
MATH 104 – FINITE MATHEMATICS
Final Exam
7. Find the present value of the ordinary annuity for payments of $2,200.00 made annually for
25 years at 6% compounded annually.
8. Add the 2 matrices below, where possible. If not possible state that it is not possible.
3
-5
-4
+
-5
1
6
9. Find the inverse for the matrix, if it exists. If it does not exist, state that is does not exist.
1 1
2 3
10. Find the slope of the line, or state that it is not defined, for the line perpendicular to 7x=3y-6.
Adams State University – Extended Studies©
Instructor: Dr. Coddington
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December 2016
ADAMS STATE UNIVERSITY EXTENDED STUDIES
MATH 104 – FINITE MATHEMATICS
Final Exam
11. Find the range for the set of numbers. 52, 149, 15, 115, 170
12. Find the compound amount for the deposit. $6,000.00 at 7% compounded annually for 3 years.
13. Find the median for the set of numbers 10, 5, 24, 16, 48, 40, 37
Adams State University – Extended Studies©
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December 2016
ADAMS STATE UNIVERSITY EXTENDED STUDIES
MATH 104 – FINITE MATHEMATICS
Final Exam
14. Insert the proper symbol to make this statement true.
{16, 28, 33}
{4, 16, 24, 33}
15. Find the mode or modes for the set of numbers. 83, 25, 83, 13, 25, 29, 83, 56, 83
16. On a survey question, 69 people answered "yes" to the question, 12 were male.
On the same survey question, 62 people answered "no" to the question, 9 were male. If one
person were selected at random, what is the probability that the person answered "yes" or
was male? Round to 3 decimal places.
Adams State University – Extended Studies©
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December 2016
ADAMS STATE UNIVERSITY EXTENDED STUDIES
MATH 104 – FINITE MATHEMATICS
Final Exam
17. Find the payment necessary to amortize the loan. $2,300; 10% compounded quarterly, 8
quarterly payments.
18. Find the probability of the following:
When a single card is drawn from a well-shuffled deck, find the probability of getting a
spade. Write your answer as a reduced fraction.
19. Find the future value of the annuity due. R = 1000; i = .06 compounded annually; n = 5
Adams State University – Extended Studies©
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December 2016
ADAMS STATE UNIVERSITY EXTENDED STUDIES
MATH 104 – FINITE MATHEMATICS
Final Exam
20. Solve the system of 2 equations and 2 unknowns using the echelon method.
𝑥
4
𝑦
+4=1
𝑥
5
𝑦
−5=
12
5
21. A cable company charges $25.00 for the basic service plus $8 for each movie channel.
Let C(x) be the cost function in dollars of subscribing to cable TV, using x movie channels.
Find the cost function.
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December 2016
ADAMS STATE UNIVERSITY EXTENDED STUDIES
MATH 104 – FINITE MATHEMATICS
Final Exam
22. Graph the linear inequality x < 5
Adams State University – Extended Studies©
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December 2016
ADAMS STATE UNIVERSITY EXTENDED STUDIES
MATH 104 – FINITE MATHEMATICS
Final Exam
23. Graph the feasible region for the system of inequalities.
x - 2y ≤ 2
x+y≤0
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December 2016
ADAMS STATE UNIVERSITY EXTENDED STUDIES
MATH 104 – FINITE MATHEMATICS
Final Exam
24. Graph the equation
y-2=0
Adams State University – Extended Studies©
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December 2016
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