Finite Mathematics
7th Edition
ISBN: 9781337280426
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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Chapter 3.3, Problem 19E
Investing: Lesser-Known Stocks Exercises 19 and 20 are based on the following information about the stocks of Whitestone REIT, HCC Insurance Holdings, Inc, and SanDisk Corporation:18
| Price ($) | Dividend Yield (%) | |
| WSR (WSR Whitestone REIT) | 16 | 7 |
| HCC (HCC Insurance Holdings, Inc.) | 56 | 2 |
| SNDK (SanDisk Corporation) | 80 | 2 |
You invested a total of $8,400 in shares of the three stocks at the given prices and expected to earth $248 in annual dividends. If you purchased a total of 200 shares, how many shares of each stock did you purchase?
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1. Show that, for any non-negative random variable X,
EX+E+≥2,
X
E max X.
21.
For each real-valued nonprincipal character x mod k, let
A(n) = x(d) and F(x) = Σ
:
dn
* Prove that
F(x) = L(1,x) log x + O(1).
n
By considering appropriate series expansions,
e². e²²/2. e²³/3.
....
=
= 1 + x + x² + ·
...
when |x| < 1.
By expanding each individual exponential term on the left-hand side
the coefficient of x- 19 has the form
and multiplying out,
1/19!1/19+r/s,
where 19 does not divide s. Deduce that
18! 1 (mod 19).
Chapter 3 Solutions
Finite Mathematics
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