DEPARTMENT OF MATHEMATICS
Ma 162 Final Exam (practice) April 30, 2013
Instructions: No cell phones or network-capable devices are allowed during the exam. The test has
been carefully checked and its notation is consistent with the homework problems and pr
MA162 2013-04-15
1. If two standard six-sided dice are rolled (one white, , , , ,
, , ), what is the probability that
or
or both are rolled?
Ch 7.3
,
; one black
,
,
,
Why isnt it (6+6)/36? Why isnt it (6+6+1)/36 if both are allowed?
n!
FWIW: C(n, k) = (n
DEPARTMENT OF MATHEMATICS
Ma 162 Final Exam May 4, 2011
DO NOT TURN THIS PAGE UNTIL YOU ARE INSTRUCTED TO DO SO.
Instructions: Be sure your name, section number, and student ID are lled in below.
Cell phones must be OFF and put away before you open this e
DEPARTMENT OF MATHEMATICS
Ma 162 Final Exam December 14, 2011
Instructions: No cell phones or network-capable devices are allowed during the exam. You may
use calculators, but you must show your work to receive credit. If your answer is not in the box or
DEPARTMENT OF MATHEMATICS
Ma 162 Final Exam May 2, 2012
Instructions: No cell phones or network-capable devices are allowed during the exam. You may
use calculators, but you must show your work to receive credit. If your answer is not in the box or
if you
4
4.1
Annuities and Loans
Introduction
In previous section, we discussed dierent methods for crediting interest, and we claimed
that compound interest is the correct way to credit interest. This section is concerned
with valuing a large number of cash ows
MA162 2013-04-17
Ch 7.5
1. Use the table to answer the following questions:
M
F
T
Yes
491
486
977
No
9
14
23
Total
500
500
1000
(a) What percentage of non-drivers are male vs. female?
(b) What percentage of drivers are male vs. female?
(c) What percentage
5
More on Annuities and Loans
5.1
Introduction
This section introduces Annuities. Much of the mathematics of annuities is similar to that
of loans. Indeed, we will see that a loan and an annuity are just two ways of looking at the
same nancial transaction
1
1.1
Introduction to Financial Mathematics
Introduction
The mathematical sophistication of nance has increased dramatically over last 50 years.
While software can help perform routine calculations, nanciers still need to develop a deep
understanding of t
3
3.1
More on Accumulation and Discount Functions
Introduction
In previous section, we used (1.03)# of years as the accumulation factor. This section looks
at other accumulation factors, including various forms of compound interest.
3.2
Interest earned ve
DEPARTMENT OF MATHEMATICS
Ma 162 Final Exam December 13, 2012
Instructions: No cell phones or network-capable devices are allowed during the exam. You may
use calculators, but you must show your work to receive credit. If you have no work to support
your