Show that the worst-case time complexity for Binary Search is given by
when n is not restricted to being a power of 2. Hint: First show that the recurrence equation for W(n) is given by
T(1) = 1
To do this, consider even and odd values of n separately. Then use induction to solve the recurrence equation.
I understand how to find this with base 2 but totally lost otherwise?
Solution
Hi there,
The time to search in an array of N elements is equal to the time to search in an array of N/2 elements plus 1 comparison.
T(N) = T(N/2) + 1
Now we re-write the function in recurrence.
T(N) = T(N/2) + 1
T(N/2) = T(N/4) + 1
T(N/4) = T(N/8) + 1
……
T(4) = T(2) + 1
T(2) = T(1) + 1
Next we sum up the left and the right sides of the equations above:
T(N) + T(N/2) + T(N/4) + T(N/8) + … +T(2) = T(N/2) + T(N/4) + T(N/8) + … +T(2) + T(1) + (1 + 1 + … + 1)
The number of 1’s on the right side is LogN
Finally, we cross the equal terms on the opposite sides and simplify the remaining sum on the right side, we get,
T(N) = T(1) + LogN
T(N) = 1 + LogN as T(1)=1
The worst case time complexityof binary search is:
T(N) = O(LogN)
.
In computer science, divide and conquer (D&C) is an algorithm design paradigm based on multi-branched recursion. A divide and conquer algorithm works by recursively breaking down a problem into two or more sub-problems of the same (or related) type, until these become simple enough to be solved directly. The solutions to the sub-problems are then combined to give a solution to the original problem.
In computer science, merge sort (also commonly spelled mergesort) is an O(n log n) comparison-based sorting algorithm. Most implementations produce a stable sort, which means that the implementation preserves the input order of equal elements in the sorted output. Mergesort is a divide and conquer algorithm that was invented by John von Neumann in 1945. A detailed description and analysis of bottom-up mergesort appeared in a report by Goldstine and Neumann as early as 1948.
In computer science, divide and conquer (D&C) is an algorithm design paradigm based on multi-branched recursion. A divide and conquer algorithm works by recursively breaking down a problem into two or more sub-problems of the same (or related) type, until these become simple enough to be solved directly. The solutions to the sub-problems are then combined to give a solution to the original problem.
In computer science, merge sort (also commonly spelled mergesort) is an O(n log n) comparison-based sorting algorithm. Most implementations produce a stable sort, which means that the implementation preserves the input order of equal elements in the sorted output. Mergesort is a divide and conquer algorithm that was invented by John von Neumann in 1945. A detailed description and analysis of bottom-up mergesort appeared in a report by Goldstine and Neumann as early as 1948.
signment/takeCovalent Activity.doPlocator-assignment take&takeAssignmentSessionLocator; assignment-take ea Use the Relerences to access imporlant values if needed fer this qeetion. Compare the solubility of iron(II) sulfide in each of the following aqueous solutions: Clear Al req 0.10 M Fe(CH coo2 More soluble than in pure water 0.10 M (NH42S Similar solubility as in pure water 0.10 M KNO3 Less soluble than in pure 0.10 M NaCHjCOO Submit Answer Rutry Entiee Group group attempts rmairing 96 7 8 9 5 6 0
Solution
1.) Less soluble than in pure water.(common ion effect due to Fe 2+ )
2.) Less soluble than in pure water.(common ion effect due to S 2- )
3.) More solubility than in pure water.( K + ions combine with S 2- ions. More Fe 2 S should be dissolved to maintain equilibrium)
4.) Same solubility as in pure water.( common ion effect due to acetate ion is balanced by decrease in concentration of sulfide by combining with Sodium ions.)
.
Simple interest is the interest cost for one or more periods when the.docxmmary455
Simple interest is the interest cost for one or more periods when the amount on which interest is compounded stays the same from period to period. T.F. Ordinary annuity is a series of unequal payments or receipts that will begin one time period from the current period. T.F. The company\'s minimum rate of return is discounted by its present value to determine future cash Inflows and outflows. T.F. The earlier the cash flows, the lower their present values. T.F. The payback period is the number of periods It takes for net cash inflows from an investment to equal the initial investment cost.
Solution
(31) True: Simple interest is the interest is the interest cost for one or more periods when the amount on which interest is compounded stays the same from period to period. In the simple interest, Interest is not compounded for period to period like compound interest. The interest is fixed for whole periods.
(32) False: An Ordinary annuity is a series of unequal payments or receipts that will begin one time period from the current period.
(33) False: The company\'s minimum rate of return is multipled by its present value to determine future cash inflows and outflows.
(34) True: The earlier the cash flows, the lower their present values.
(35) True: The payback period is the number of periods it takes for net cash inflows from an investment to equal the initial investment cost.
.
More Related Content
Similar to Show that the worst-case time complexity for Binary Search is given by.docx
signment/takeCovalent Activity.doPlocator-assignment take&takeAssignmentSessionLocator; assignment-take ea Use the Relerences to access imporlant values if needed fer this qeetion. Compare the solubility of iron(II) sulfide in each of the following aqueous solutions: Clear Al req 0.10 M Fe(CH coo2 More soluble than in pure water 0.10 M (NH42S Similar solubility as in pure water 0.10 M KNO3 Less soluble than in pure 0.10 M NaCHjCOO Submit Answer Rutry Entiee Group group attempts rmairing 96 7 8 9 5 6 0
Solution
1.) Less soluble than in pure water.(common ion effect due to Fe 2+ )
2.) Less soluble than in pure water.(common ion effect due to S 2- )
3.) More solubility than in pure water.( K + ions combine with S 2- ions. More Fe 2 S should be dissolved to maintain equilibrium)
4.) Same solubility as in pure water.( common ion effect due to acetate ion is balanced by decrease in concentration of sulfide by combining with Sodium ions.)
.
Simple interest is the interest cost for one or more periods when the.docxmmary455
Simple interest is the interest cost for one or more periods when the amount on which interest is compounded stays the same from period to period. T.F. Ordinary annuity is a series of unequal payments or receipts that will begin one time period from the current period. T.F. The company\'s minimum rate of return is discounted by its present value to determine future cash Inflows and outflows. T.F. The earlier the cash flows, the lower their present values. T.F. The payback period is the number of periods It takes for net cash inflows from an investment to equal the initial investment cost.
Solution
(31) True: Simple interest is the interest is the interest cost for one or more periods when the amount on which interest is compounded stays the same from period to period. In the simple interest, Interest is not compounded for period to period like compound interest. The interest is fixed for whole periods.
(32) False: An Ordinary annuity is a series of unequal payments or receipts that will begin one time period from the current period.
(33) False: The company\'s minimum rate of return is multipled by its present value to determine future cash inflows and outflows.
(34) True: The earlier the cash flows, the lower their present values.
(35) True: The payback period is the number of periods it takes for net cash inflows from an investment to equal the initial investment cost.
.
show work 10- Divide 1436 by 203- The answer expressed to the correct.docxmmary455
show work
10. Divide 1436 by 203. The answer expressed to the correct number of sig figs is: a) 0.141 b) 0.1414 c) 7.07 d) 7.074 11. Add 114.32+12.1+ 13. The answer expressed to the correct number of sig figs is: a) 139 b) 139.4 c) 139.42 d) 140 12. The mass of a substance is 17.46 grams and its volume is 3.42 mL. What is the density of the substance rounded to the proper number of sig figs? a) 0.1959 g/mL b) 0.196 g/mL c) 5.105 g/mL d) 5.11 g/mL 13. Consider the element sodium, Na, and answer the following questions: a) b) c) Is it a metal, nonmetal or metalloid? What name is given to the group it belongs to on the periodic table? is it a representative element or a transition element?
Solution
10) 1436/203 = 7.074
answer: c) 7.07
11) 114.32 + 12.1 + 13 = 139.4
answer: b) 139.4
12) density (d) = mass / volume
= 17.46/3.42
= 5.105 g/ml
answer: d) 5.11 g/ml
13) sodium,Na
a) metal
b) alkali metals(1st group)
c) representatiove element.
.
Show the effect of dollar appeciation and depreciation with the yen on.docxmmary455
Show the effect of dollar appeciation and depreciation with the yen on the price of exports and imports by updating Table 15.2
Effect of Dollar appreciation and Depreciation on U.S. Exports and Imports
R =Y/$ Domestic price Jan 09: R=90 June 09: R=97 Effect on exports (x) and imports (M)
US export: computer $10,000 Y900,000 Y970,000 X decreases
US import: cars Y2,000,000 ~$22,200 ~$20,600 M increases
Jan 08: R=108 Jan09: R=90
Computer $10,000 Y1,080,000 Y900,000 X increases
Cars Y2,000,000 ~$18,500 ~22,200 M decreases
Solution
table is missing
.
Solubility products Ks(Fe(OH)2) - 4-9 x 10 ^ -17 Ks(Fe(OH)3) - 2-8 x 1.docxmmary455
Solubility products Ks(Fe(OH)2) = 4,9 x 10 ^ -17 Ks(Fe(OH)3) = 2,8 x 10 ^ -39 Ionic product of water Ke = 1,0 x 10 ^ -14 at 25 degrees
Solution
Molarity of Fe(+2) = Number of moles of FeSO4/Volume of solution in L = 0.100M
Ksp(Fe(OH)2) = [Fe(+2)][OH-]^2 = 4.9 * 10^(-17)
[OH-] = sqrt(4.9 * 10^(-16)) = 2.21 * 10^(-8)
pOH = 8 - log(2.21) = 7.65
pH + pOH = 14
pH = 14 - 7.65 = 6.35
Molarity of Fe(+3) = Number of moles of FeCl3/Volume of solution in L = 0.020M
Ksp(Fe(OH)3) = [Fe(+3)][OH-]^3 = 2.8 * 10^(-39)
[OH-] = (140* 10^(-39))^(1/3) = 5.1924 * 10^(-13)
pOH = 13 - log(5.1924) = 12.28
pH + pOH = 14
pH = 14 - 12.28= 1.72
Hence the Fe(OH)3 will precipitate first, since it rquire less amount of [OH-]
So in the pH range of 1.72-6.34, only one precipitate will be present
.
Sodium fluoride is added to many municipal water supplies to reduce to.docxmmary455
Sodium fluoride is added to many municipal water supplies to reduce tooth decay. Calculate the pH of a 3.12×10-3 M solution of NaF, given that the Ka of HF = 6.80 x 10-4 at 25°C.
Solution
NaF(aq) --------------> Na^+ (aq) + F^- (aq)
3.12*10^-3 3.12*10^-3M
F^- (aq) + H2O -------------> HF (aq) + OH^- (aq)
I 0.00312 0 0
C -x +x +x
E 0.00312-x +x +x
Kb = Kw/Ka
= 1*10^-14/6.8*10^-4 = 1.47*10^-11
Kb = [HF][OH^-]/[F^-]
1.47*10^-11 = x*x/0.00312-x
1.47*10^-11 *(0.00312-x) = x^2
x = 2.17*10^-7
[OH^-] = x = 2.17*10^-7 M
POH = -log[OH^-]
= -log2.17*10^-7
= 6.6635
PH = 14-POH
= 14-6.6635
= 7.3365
.
Societal Dimension of IPESolutionInternational political economy was t.docxmmary455
Societal Dimension of IPE
Solution
International political economy was the original term used for studying problems that arise from or are affected by the interaction of international politics, international economics, and different social systems and societal groups. IPE has four dimensions :- security, production, finance,and knowledge. Political institutions are important determinants of these economic outcomes. In turn, the state of the economy affects political outcomes, both in the long run and in the short. Economic development affects the evolution of institutions and short run economic conditions affect political change and elections. We will interpret \"political institutions\" in a broad sense and we will also be interested in related issues such as the role and evolution of legal and administrative institutions, and issues concerning social interactions. The group focuses both on developed and developing economies and both on \"macroeconomic\" and \"microeconomic\" issues including international trade and international relations.
International political economy relations cannot be completely controlled / predictable, these generally effects negative of IPs are primarily due to export subsidies and non-tariff barriers, particularly in less-developed countries.
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Soil & GW Remediation (Civil and Environmental Engineering) SolutionQn.docxmmary455
Soil & GW Remediation
(Civil and Environmental Engineering)
Solution
Qn# 1
EXPLANATION:
A) K ow - 3) octanol-water partitioning coefficient is the ratio of chemical concentration in octanol phase(hydrophobic) to its concentration in aqueous phase(hydrophilic). it is used to understand the hydrophobicity of the compound.
B) K d - 1) it is called as distribution coefficient is the soil-water partitioning coefficient. it is used to calculate the soil concentration that is proactive of ground water. so this is the linear coefficient between aqueous and solid phase.
C) K oc - 5) it is the soil organic carbon-water partitioning coefficient. it is the distribution coefficient restricted to total organic carbon content. used for predicting mobility of organic soil contaminants.
D) K H - 4) it is the air-water partitioning coefficient. so it is used for partitioning of a compound between liquid and gaseous phase.
E) V p - 2) it is used to describe the equilibrium between compound and gaseous phase.
ANSWER is
A) - 3)
B) - 1)
C) - 5)
D) - 4)
E) - 2)
.
Since Linux is an international operating system you can configure it.docxmmary455
Since Linux is an international operating system you can configure it to support a specific region. Discuss how you can configure its character set, keyboard layout, and date/time display formats for a specific region (or country) of your choice.
Solution
Region specific settings:
Keyboard Layout: This is set using the loadkeys command.The local X configuation tool can be used for this purpose.
XkbdLayout is the one that is used.
Example: XkbdLayout \"us\"
Fonts:The setfont tool is used for loading fonts in text mode.This usually comes with an innputrc file which enables the ability to combine characters.
Example: export INPUTRC=\"/etc/inputrc\"
Date and time display: This is usually done during installation.And then it can be updated using the Network Time Protocol.
Example:
debby: ^ > ps -ef | gre ntpd
ntp 22458 1 0 2006? 00:00:24 ntpd -U ntp
The ntp update is run manually in order to set the time every time we aproach the time server.
root@box: ^ # ntpdate 12.2.4.100
15 Aug 15:35:43 ntpdate[20336]: adjust time server 12.2.4.100 offset
-0.004567 sec
NTP package can be checked in the given system manual.And the commands used for setting the correct time zone are tzconfig or timezone commands.
Language : gdm or kdm commands are used to configure language settings before logigng in.
Example:
debby: ^> acroread/ var/ tmp /54743s.pdf
Warning: charset \"UTF-8\" not supported,using \"ISO77695-1\".
Aborted.
debby: ^ > set | grep UTF
LANG=en_US.UTF-8
debby: ^ > export LANG=en_US
debby: ^?> acroread / var / tmp / 54743s.pdf
<------ new window opens----->
.
Sinking fund bands- Require the issuer to set aside assets in order r.docxmmary455
Sinking fund bands: Require the issuer to set aside assets in order retire the bonds at maturity Require equl payments of both prinipal and interest over the file of the bonus issues Decline in value bonds Are bearer bonds Bonds that have an option exercisable by the issuer to retire them at a stated dollar amount prior to maturity known as: Convertable bonds Sinking fund bonds Callable bonds Serial bonds Junk bonds Secured bonds: Are also referred to as debentures Have specific assets of the issuing company pledged as collateral Are subordinated to those of other unsecured liabilities Are the same as sinking fund bonds Bonds owned by investors whose names and address are recorded by the issuing company and for which interest payments are made with checks to the bondholders, are called: Callable bonds Serial bonds Registered bonds Coupon bonds Bearer bonds The contract between the bond issuer and the bondholders, which identifies the rights and oblignations of the parties is called a(n): Debebture Bond indenture Mortgage Installment note Mortgage contract
Solution
9. Sinkind funds are teh bonds that require the issuer to set aside assets to retire the bonds at maturity. Option A is correct.
10. calleable bonds are the bonds with an option that is exercisable by the issuer to retire them at a stated dollar amount prior to maturity. Option C is correct.
11. Secured bonds are the bonds that have specifics assets of the issuers pledge as collateral. Option B is correct.
12. Registered bonds are the bonds that owned by investors whose names and addresses are recorded by the issuing company and the related interest payments are made to the bondholders. Option C is correct.
13. The Contract between the bond issuer and the bondholder\'s which identifies the rights and obligations of teh party is called bond indenture. Option B is correct.
.
Simplify-Write answers in the form of a+bi where a and b are real numb.docxmmary455
Simplify.  Write answers in the form of a+b i where a and b are real numbers.
(-4-2 i ) 2
(6+5 i ) 2
Solution
1)(-4-2 i ) 2
formulas: (a + b)^2 = a^2 + b^2 + 2ab
i^2 = -1
(-4-2 i ) 2
==>16 -4 + 16i = 12 + 16i
a = 12 and b = 16
(6+5 i ) 2
==>36 - 25 + 60i ==> 11 + 60i
a = 11 and b= 60
.
Case- The Long- Loud Silence Background As the director of health info.docxmmary455
Case: The Long, Loud Silence
Background
As the director of health information services recently hired from another organization, it did not take you long to discover that morale in the department had been at a low ebb for quite some time. As you undertook to become acquainted with each of your employees, you quickly became inundated with complaints and other evidences of discontent. Most of the complaints concerned problems with administration, the financial division, and the records-related practices of physicians, but there were also a few complaints by staff about other members of the department and a couple of thinly veiled charges concerning health information services personnel who
Solution
1.
Such behavior of employees might be the result of psychological factors including fear, mistrust, or indifference . To cope with this issue, the manger should gain the confidence of employees. Besides this, he should encourage them to share their problems in the group meetings. He should assure them that their problems would be adhered and addressed by the managers.
2.
Managers should conduct a face to face meeting with the employees carrying tales to the other departments . He should try to analyze their viewpoints and address their issues. They should be barred from such practices. The manager should suggest him to share his viewpoint in the team meeting or with his immediate supervisor.
Even then, if the employees would not adhere to the managers, strict actions should be taken against them as their behavior might create huge conflicts in future.
3.
This department’s problems can be addressed with the help of following means of communication:
.
Case 4-3 The Baptist Foundation of Arizona- The Whistleblower Hotline.docxmmary455
Case 4.3
The Baptist Foundation of Arizona: The Whistleblower Hotline
Consult Paragraph 5 of PCAOB Auditing Standard No. 10. Do you believe the Arthur Andersen auditors responded appropriately to the information received from BFA\'s former accountant, Karen Paetz? Why or why not?
Solution
Answer:
Arthur Andersen auditors did not at all responded appropriately to the information received from BFA\'s former accountant, Karen Paetz!
Beacuse, it is the fundamental duty of an auditor to bring all such concerns to the audit committee. It is unusual and unethical on the part of Andersen that he chose to completely ignore this individual’s warning.
Karen Paetz was employed by BFA for 7 years. Infact, she was a credible individual with a lot of knowledge of the accounting infrastructure at BFA. During Paetz’s employment at BFA, she interacted frequently with Arthur Andersen’s auditors on each audit engagement. The fact that she first resigned and then set up a lunch meeting with McGrath to voice her concerns ALO’s deficit (in excess of $100 million) and ALO’s monthly losses (approximately $2.5 million) underscored the importance of taking her concerns seriously.
.
Case 5-1 David L- Miller- Portrait of a White-Collar Criminal There is.docxmmary455
Case 5-1 David L. Miller: Portrait of a White-Collar Criminal
There is an old saying: Crime doesn
Solution
Ans1) 1 st PART: Miller does seem to fit the profile of the average fraud criminal. This is because he worked his way up to gain inside information and trust from his bosses. He spent the money to support his lifestyle which was above his means. He also was not violent and he tried to use the money to pay back the stolen funds from his previous employers.
2 ND PART: He was different because he owned up to what he did and took responsibility for his actions. He tried to pay back the stolen funds and he truly believed he would be able to pay it all back. He was also different from the profile because even though he got caught and showed remorse he continued to steal.
3 rd PART: Miller was hard to detect because he was so well liked and trusted by his employers and fellow coworkers.
Ans2) He was able to commit the fraud by being in a high ranking position that was able to avoid internal security around the company
.
Carbon steel is an active metal meaning it has low corrosion resistanc.docxmmary455
Carbon steel is an active metal meaning it has low corrosion resistance. Explain why it can be used to carry concentrated sulfuric acid (90 -95%) at room temperature (~ 25 C) which is a strong acid.
1.Predict what could happen if the system is open to atmosphere which has similar temperature (~25 C) and high humidity for a prolong period of time.
2.Describe possible corrosion forms of carbon steel exposed to concentrated sulfuric acid.
3. Corrosion rate of carbon steel in concentrated sulfuric acid initially decreases with liquid velocity, then after a critical velocity corrosion rate linearly increases. Explain why.
Support your discussion with electrochemistry (thermodynamics and/or kinetics).
Solution
Corrosion is caused by moisture or water in the presence of acid. Concentrated sulphuric acid at that levels do not corrode carbon steel because presence of water in the solution is very less.
1. If the system is exposed to a high humidity environment for long times, it slowly starts to corrode because the amount of water becomes more.
2. The reaction product of corrosion are iron sulphate and hydrogen gas. The iron sulphate film is weak and can be disturbed by high acid velocities. CorossCoris also caused by hydrogen gas because it can take off mechanically weak iron sulphate film which is the only protection for the steel.
3. The corrosion reaction involves formation of iron sulphate and hydrogen. When liquid velocity is less, there are less amounts of hydrogen bubbles hitting the steel surface and they are uniformly carried. When the flow becomes turbulent, more bubbles hit the walls and scrape off the protective iron sulphate film which exposes the steel and there is an increase in corrosion.
.
Carbon dioxide in the atmosphere traps heat from the sun and makes lif.docxmmary455
Carbon dioxide in the atmosphere traps heat from the sun and makes life on Earth possible. Why then should we be concerned about adding carbon dioxide to the atmosphere if it is a natural occurrence and beneficial to life on Earth?
Solution
Before the industrial revolution, Earth\'s atmosphere already contained CO 2 . CO 2 levels were regulated by the natural carbon cycle, where animals would breathe out carbondioxide and plants would absorb it to convert sunlight to energy and the oceans and soils would absorb and emit CO 2 .
As human activities increased, we began burning various sources like oil,gas and coal for energy therby releasing additional  CO 2 into the atmosphere. The extent of additional carbondioxide released into the atmosphere has been increasing day by day such that the natural carbon cycle is disturbed. Plants no more absorb all the huge excess of  CO 2 released into the atmosphere.
As a result, all the  excess CO2 in the atmosphere is trapping lot of energy in the form of heat from the Sun and this is the reason for global warming.
Hence, natural occurance of  CO 2 is beneficial to life on the Earth. However it has way back crossed the natural permissible levels and is hazardous to release more and more  CO 2 into the atmosphere.
.
Carnival Corporation has recently placed into service some of the larg.docxmmary455
Carnival Corporation has recently placed into service some of the largest cruise ships in the world. One of these ships, the Carnival Dream, can hold up to 3,600 passengers and cost $750,000,000 to build. Assume the following additional information:
Solution
A.)
Annual net cash flow:
Revenues = 320* 3600 * 280 = 3225,60000
Less: variable Cost = 95 * 320 * 3600 = 1094, 40000
Less: Fixed EXpenses othe than dEpreciation = 65000000
Thereofre, Annual Net Cash Flow = 148120000
(No need to reduce depreciation, Because there is no info about tax rate )
B.)NEt PRESENT VALUES
Present value of inflows = 148120000*5.650 = 836878000
Present Value of Residual Value = 100000000*0.322= 32200000
Total Preent Value = 869078000
Less INitial Investment = 750000000
Net Present Value =119078,000 $
THanks
.
Canadian Income Tax Question Tiffany MacGraw- a Canadian citizen- left.docxmmary455
Canadian Income Tax Question
Tiffany MacGraw, a Canadian citizen, left Canada in 2005 to settle in a country with which Canada has no tax treaty. In 2011, her 26-year-old daughter Cassidy came to Canada to attend university. On January 27, 2013, after completing her studies, Cassidy decided to remain in Canada on a permanent basis. To help her daughter settle in Canada, Tiffany made numerous visits to Canada in 2013 to see Cassidy. Tiffany visited her daughter from January 15 to March 15, and from May 10 to August 31.
Required
Determine if Tiffany and Cassidy are liable for Part I tax on their worldwide income for 2013, and justify your answer. Explain clearly the 2013 tax consequences for each.
Solution
Cassidy is a canadian citizen as she was born in canada & she was also residing in canada for the whole year 2013 and also decided to remain in canada on permanent basis on Jan,27 2013. Her income will be taxed as per the canadian laws.
For Tiffany MacGrew he resided in canada for 2 month (Jan15 to March 15) and may 10 to Aug 31 i.e. for 112 days . that means a total of 171 days. As his purpose was not to reside permanently in canada & he resided there for less than 180 days he will not be taxed in canada on total income. If any income has been earned in canada during his stay then his income in canada will be taxed in canada.
.
Capital budgeting decisions are among the most important decisions tha.docxmmary455
Capital budgeting decisions are among the most important decisions that financial managers make. Indicate whether each of the following statements about capital budgeting is true or false. I Capital projects are either mutually exclusive or independent. Which of the following statements are correct? Check all that apply. Capital budgeting involves evaluating the value of long-term assets or projects. Which of the following should be included In the capital budgeting process? Check all that apply. Rydell Engineering is evaluating a proposed capital budgeting project that will require an initial investment of $160,000. The project is expected to generate the following net cash flows: Assume the desired rate of return on a project of this type is 11%. What is the net present value of this project?
Solution
2)
False
True
True
True
acceptance of rejection of an indpendent project does not affect cash flow og other projects
mutually exclusive projects are projects that whether accepted or rejected donot affect cash flow of other projects
3)
all of the above
4)
NPV = -160000 + 43600/1.11 + 51500/1.11^2 + 48000/1.11^3 + 46900/1.11^4
= -12930.49
reject the project since NPV is negative
.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
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Show that the worst-case time complexity for Binary Search is given by.docx
1. Show that the worst-case time complexity for Binary Search is given by
when n is not restricted to being a power of 2. Hint: First show that the recurrence equation for
W(n) is given by
T(1) = 1
To do this, consider even and odd values of n separately. Then use induction to solve the
recurrence equation.
I understand how to find this with base 2 but totally lost otherwise?
Solution
Hi there,
The time to search in an array of N elements is equal to the time to search in an array of N/2
elements plus 1 comparison.
T(N) = T(N/2) + 1
Now we re-write the function in recurrence.
T(N) = T(N/2) + 1
T(N/2) = T(N/4) + 1
T(N/4) = T(N/8) + 1
……
T(4) = T(2) + 1
T(2) = T(1) + 1
Next we sum up the left and the right sides of the equations above:
2. T(N) + T(N/2) + T(N/4) + T(N/8) + … +T(2) = T(N/2) + T(N/4) + T(N/8) + … +T(2) + T(1) +
(1 + 1 + … + 1)
The number of 1’s on the right side is LogN
Finally, we cross the equal terms on the opposite sides and simplify the remaining sum on the
right side, we get,
T(N) = T(1) + LogN
T(N) = 1 + LogN as T(1)=1
The worst case time complexityof binary search is:
T(N) = O(LogN)
