The addition and multiplicationSolutionDefinitionsA functio.pdf
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The addition and multiplication Solution Definitions: A function f is one-to-one if f maps distinct elements in the domain to distinct elements in the range. This is equivalent to saying that f(x)=f(y) implies x=y, as otherwise you\'d have distinct x,y that mapped to the same value f(x),f(y). A function f is onto if for every y in the range of f, there is some element x in the domain of f such that f(x)=y. In other words, every element in the range gets mapped to. This problem has a Cartesian product as the domain, so every element of its domain can be thought of as an ordered pair (x,y). We examine mult(x,y) = xy. Mult is not one-to-one. There are many elements in the range that are mapped to by more than one ordered pair in the domain. Here is a counterexample: mult(4,6) = 4*6 = 24 mult(3,8) = 3*8 = 24 As you can see, any pair of factors of a number will map to that number, so mult does not map distinct ordered pairs in the domain to distinct numbers in the range, and is therefore not one-to- one. Mult is, however, onto. Consider an element y in R. 1*y = y. So the ordered pair (1,y) will be mapped to y by mult: mult(1,y) = y As y is in R because it is in the range and 1 is a real number, (1,y) is in RxR. Therefore, for any element in the range of mult there is some element in the domain that maps to that element, and mult is onto..
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reliable, so that managers and the board can depend on accurate information to make
programmatic an d other decisions o assets and records of the organization are not stolen,
misused, or accidentally destroyed o the organization s policies are followed o government
regulations are met. Developing an Internal Accounting Control System The first step in
developing an effective internal accounting control system is to identify those areas where
abuses or errors are likely to occur. Many accountants can provide you with a checklist of areas
and questions to consider when you are planning your system. Price Waterhouse\'s booklet,
Effective Internal Accounting Control for Nonprofit Organizations: A Guide for Directors and
Management, includes the following areas and objectives in developing an effective internal
accounting control system: o Cash receipts To ensure that all cash intended for the organization
is received, promptly deposited, properly recorded, reconciled, and kept under adequate security.
o Cash disbursements To ensure that cash is disbursed only upon proper authorization of
management, for valid business purposes, and that all disbursements are properly recorded. o
Petty cash To ensure that petty cash and other working funds are disbursed only for proper
purposes, are adequately safeguarded, and properly recorded. o Payroll To ensure that payroll
disbursements are made only upon proper authorization to bona fide employees, that payroll
disbursements are properly recorded and that related legal requirements (such as payroll tax
deposits) are complied with. o Grants, gifts, and bequests To ensure that all grants, gifts, and
bequests are received and properly recorded, and that compliance with the terms of any related
restrictions is adequately monitored. o Fixed assets To ensure that fixed assets are acquired and
disposed of only upon proper authorization, are adequately safeguarded, and properly recorded.
Additional internal controls are also required to ensure proper recording of donated materials,
pledges and other revenues, accurate, timely financial reports and information returns, and
compliance with other government regulations. Achieving these objectives requires your
organizat.
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The 9S12G128 event counter is configured and enabled for rising edge. A 1.0 Hz waveform
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the data contained in the event counter after 16.52 seconds (first count increment occurred at 0
seconds)?
Solution
next address is overflow data address..
The 1990 census showed that 36 of the households in the District of.pdf
The 1990 census showed that 36% of the households in the District of Columbia were
homeowners, while the remainder were renters. During the next decade 6% of the homeowners
became renters and 12% of the renters became homeowners.
(a) What percent were homeowners in 2000? In 2010?
(b) If these trends continue what will be the long run fraction of homeowners?
Solution
a ) in 2000,
percent house holders = 36 + 7.68 - 2.16 = 41.52
in 2010
percent hoouse holders = 41.42 + 7.0176 - 2.4912 = 45.7264
b ) fraction of homeowners = 1.
The $euro spot exchange rate is $1.1380 per euro. The 6-month forwa.pdf
The $/euro spot exchange rate is $1.1380 per euro. The 6-month forward exchange rate is
1.1385. The dollar interest rate is 2% per year continuously compounded. What should be the
continuously compounded euro interest rate per year to exclude arbitrage opportunity?
a. 1.81%
b. 1.91%
c. 1.95%
d. 2.00%
e. 2.19%
Solution
Answer: By Fisher effect we have:
1.1385 = 1.1380 x 1.02/ ( 1+ r%)
solving for r we get:
1 + r% = 1.0195
therefore r = 0.0195 or 1.95%.
Thanks, will rate lifesaver! Please show and explain all work!So.pdf
Thanks, will rate lifesaver! Please show and explain all work!
Solution
Let ij mean the probability of i the first week and j the second week ans
=07+16+25+34+43+52+61+70 ij=(Probability of i the first week)(probability of j the second
week) since independent ij=(1/2^(i+1))(1/2^(j+1))=1/2^(i+j+2) ans=8/2^(7+2)=8/2^9)=1/2^6.
thanks. Suppose you flip coin two times independently . Define the .pdf
thanks. Suppose you flip coin two times independently . Define the three events : A: You get a
heads on the first flip B: You get a heads on the second flip C: You get the same outcome on
both flip Show that A,B and C are pairwise independent but not mutually independent.
Solution
All the events are independent because no result will be affecting the outcome for a head or a tail.
thanks Which of the following is one of the distinct ways to decreas.pdf
thanks Which of the following is one of the distinct ways to decrease the probability of a Type II
error? Decrease the significance level. Decrease the sample size. Decrease the population
standard deviation. Consider an alternative that is close to mu 0.
Solution
A. Reduce the probabily of a Type II error by decreasing the significance level..
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Chapter 2
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