MTH301 1st ASSIGNMENT Solution
Note
(This is only an idea on how to solve the assignment. Plz done it by your self to gain 100% marks )
Tuesday, April 27, 2010
Sunday, April 25, 2010
MTH302 Solution
Question 1:
Basic Salary of John is 2000$ per month. According to his job contract his allowances are some percentage of basic salary whereas other benefits are percentage of Gross Salary. Details of his benefits are as follows. What percent of Basic/Gross salary are these benefits? (Show the calculations).
BENEFITS $ Percent of Basic/Gross Salary
House Rent 900 House Rent = 45 %= 0.45*2000 = 900
Utilities Allowance 200 Utilities allowance = 2.5 %= 0.025*2000=50
Medical/Group insurance 155 insurance/medical=5% = 0.05*2000 = 100
Miscellaneous Social Charges 186 Misc. Social Charges=5.8% =0.058*2000=116
Question 2:
The price of oil decreased from $76 per barrel to $70 per barrel. What is the percentage change in oil prices?
Solution:
Change = Final value – initial value
// = 76 – 70
//= 6
Percentage change = (Change / initial value) x 100%
Initial value =76$
Final value = 70$
Change = 6
% Change = (6/76) x 100 = 7.8947%
Marks 5
Question 3:
Suppose you took loan from a bank of amount 800£ at 8% interest compounded semi-annually for three years. Find the compound interest.
Solution:
S = Money accrued after n years also called compound amount = ?
P = Principal= 800
r = Rate of interest= 8% = 0.08
n = Number of periods = 3*2= 6 years (Semi annually)
S = P(1 + r/2)^ n
Compound interest = S - P
S= P(1+0.08/2)^3*2
S= 800(1+0.04)^6
S=1012.255 Rs
Compound interest = S - P
Compound interest = 1012.255 – 800 = 212.255 Rs
Marks 5
Question 4:
Calculate the Accumulated Value if you deposit 500Rs at the end of each year for the next 3 years? Assume an interest of 8% compounded annually.
Solution:
Accumulated value of n period = payment per period × accumulation factor for n Periods
Accumulated value of n period = C × [(1+i)^n – 1]/i
C = Cash flow per period = 500
i = interest rate = 8% = 0.08
n = number of payments = 3
= C* [(1+i)^n – 1]/i
= 500* [(1+0.08)^3 – 1]/0.08
= 500* [(1.08)^3 – 1]/0.08
= 500* [1.259712 – 1]/0.08
= 500* [0.259712]/0.08
= 500* 3.2464
=1623.2
Accumulated value of n period = 500 × 3.2464
Accumulated value of n period = 1623.2
Basic Salary of John is 2000$ per month. According to his job contract his allowances are some percentage of basic salary whereas other benefits are percentage of Gross Salary. Details of his benefits are as follows. What percent of Basic/Gross salary are these benefits? (Show the calculations).
BENEFITS $ Percent of Basic/Gross Salary
House Rent 900 House Rent = 45 %= 0.45*2000 = 900
Utilities Allowance 200 Utilities allowance = 2.5 %= 0.025*2000=50
Medical/Group insurance 155 insurance/medical=5% = 0.05*2000 = 100
Miscellaneous Social Charges 186 Misc. Social Charges=5.8% =0.058*2000=116
Question 2:
The price of oil decreased from $76 per barrel to $70 per barrel. What is the percentage change in oil prices?
Solution:
Change = Final value – initial value
// = 76 – 70
//= 6
Percentage change = (Change / initial value) x 100%
Initial value =76$
Final value = 70$
Change = 6
% Change = (6/76) x 100 = 7.8947%
Marks 5
Question 3:
Suppose you took loan from a bank of amount 800£ at 8% interest compounded semi-annually for three years. Find the compound interest.
Solution:
S = Money accrued after n years also called compound amount = ?
P = Principal= 800
r = Rate of interest= 8% = 0.08
n = Number of periods = 3*2= 6 years (Semi annually)
S = P(1 + r/2)^ n
Compound interest = S - P
S= P(1+0.08/2)^3*2
S= 800(1+0.04)^6
S=1012.255 Rs
Compound interest = S - P
Compound interest = 1012.255 – 800 = 212.255 Rs
Marks 5
Question 4:
Calculate the Accumulated Value if you deposit 500Rs at the end of each year for the next 3 years? Assume an interest of 8% compounded annually.
Solution:
Accumulated value of n period = payment per period × accumulation factor for n Periods
Accumulated value of n period = C × [(1+i)^n – 1]/i
C = Cash flow per period = 500
i = interest rate = 8% = 0.08
n = number of payments = 3
= C* [(1+i)^n – 1]/i
= 500* [(1+0.08)^3 – 1]/0.08
= 500* [(1.08)^3 – 1]/0.08
= 500* [1.259712 – 1]/0.08
= 500* [0.259712]/0.08
= 500* 3.2464
=1623.2
Accumulated value of n period = 500 × 3.2464
Accumulated value of n period = 1623.2
CS101 Solution
Question No. 1
Ali is a manager in a multi-national organization. As part of his job, he needs to interact and provide updates of his work to the head office on regular basis, which input/output devices can he use to complete his daily tasks? (Marks 2)
Answer:-
Input:
1-Keyboard
2-Webcam
3-Mouse
4-Microphone
5-Scanner
Output:
1-Printer
2-Monitor
3-Speakers
Question No. 2
How WebPages are different from a website? (Marks 2)
Note: List down two most important differences in this regard.
Answer:-
A website is a collection of one or more web pages designed to convey information on a particular subject or theme to a web user. (e.g. a company will have a web site providing structured information about the company, designed to inform particular groups of its stakeholders - investors, customers, technical support, sales, employment, news items etc.)
A web page is one screen full of information (from a web site) that may contain links to other pages in the web site or links to external information. The web page will normally be written as (or rendered as) an HTML document
Ali is a manager in a multi-national organization. As part of his job, he needs to interact and provide updates of his work to the head office on regular basis, which input/output devices can he use to complete his daily tasks? (Marks 2)
Answer:-
Input:
1-Keyboard
2-Webcam
3-Mouse
4-Microphone
5-Scanner
Output:
1-Printer
2-Monitor
3-Speakers
Question No. 2
How WebPages are different from a website? (Marks 2)
Note: List down two most important differences in this regard.
Answer:-
A website is a collection of one or more web pages designed to convey information on a particular subject or theme to a web user. (e.g. a company will have a web site providing structured information about the company, designed to inform particular groups of its stakeholders - investors, customers, technical support, sales, employment, news items etc.)
A web page is one screen full of information (from a web site) that may contain links to other pages in the web site or links to external information. The web page will normally be written as (or rendered as) an HTML document
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