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Question:

5-Stocks-on-Your-Birthday-Stock-Tracker-xlsx-00001


Answer:


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a) 
The first award can be given to any of the 100 persons, once 
the first award is given then there are only 99 persons left
The second award can be given to any of the 99 persons, once 
the second award is given then there are only 98 persons left
The third award can be given to any of the 98 persons, once 
the third award is given then there are only 97 persons left
The fourth award can be given to any of the 97 persons, once 
the fourth award is given then there are only 96 persons left
so total no of ways = 100*99*98*97 = 94109400

b) 
if the grand prize is given to person who holds ticket 47
then there are three prizes which are to be distributed to 
3 people out of the 99 people left 
The second award can be given to any of the 99 persons, once 
the second award is given then there are only 98 persons left
The third award can be given to any of the 98 persons, once 
the third award is given then there are only 97 persons left
The fourth award can be given to any of the 97 persons, once 
the fourth award is given then there are only 96 persons left
so total no of ways = 99*98*97 = 941094

c)
if person holding ticket 47 gets one of the prizes then the rest 
3 prizes should be given to 3 out of 99 people 
The second award can be given to any of the 99 persons, once 
the second award is given then there are only 98 persons left
The third award can be given to any of the 98 persons, once 
the third award is given then there are only 97 persons left
The fourth award can be given to any of the 97 persons, once 
the fourth award is given then there are only 96 persons left
so total no of ways = 99*98*97 = 941094

d)
if person holding ticket 47 doesn't get any prize then 
the four prizes should be given to four people out of the 99 people left 
The first award can be given to any of the 99 persons, once 
the first award is given then there are only 98 persons left
The second award can be given to any of the 98 persons, once 
the second award is given then there are only 97 persons left
The third award can be given to any of the 97 persons, once 
the third award is given then there are only 96 persons left
The fourth award can be given to any of the 96 persons, once 
the fourth award is given then there are only 95 persons left
so total no of ways = 99*98*97*96 = 90345024
 

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QUESTION 6 (a) The bar shown in Figure Q2(a) is subjected to tensile load of 150 Kn. If the stress in the middle portions is limited to 160 N/mm², determine the diameter of the middle portion. Find also the length of the middle portion if the total elongation of the bar is to be 0.25 mm. E E = 2.0 + 105N/mm². (12 marks) 150 KN 10 cm DIA 10 cm DIA 150 KN 45 cm Figure Q6(a) (b) A brass bar, having cross-section area of 900 mm², is subjected to axial forces as shown in Figure Q2(b), in which AB = 0.6 m, BC = 0.8 m, and CD = 1.0 m. Find the total elongation of the bar. E = 1.0 + 105N/mm2 . (8 marks) Page 4 of 5 B D 40 KN 70 KN 20 KN 10 KN Figure Q6(b) (TOTAL = 20 MARKS)

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  Introduction To find incremental revenue and cost, we subtract Current revenue and cost from Projected revenue and cost. Answer Current Situation Projected Sales and Profit Incremental Revenues and Costs Total Revenue Php1,500,000 Php1,800,000 + Php3000,000 Variable Cost 575,000 425,000 - Php 332,000 Direct Fixed Costs 625,000 700,000 + Php 75,000 Indirect Fixed Costs 100,000 100,000 No change Profit Php 200,000 Php 575,000 + Php 375,000 Profit increases by Php 375,000, thus a new camera and coffee maker must be purchased.

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