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27174
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1.
a. Construct a graph of y = 36 – 6x.
b. Find the roots of x2 + x – 30 = 0.
c. Solve this pair of equations: 7x + 4y = 18
3x + 10y = 16
2.
a. An item costs $210. After sales tax at 6% is added, and a discount of 25% is taken off, how much will a customer pay for the item?
b. A company provides a guided tour of London, with a variable cost of £25 per tour. Each tour has 15 visitors, each paying £5. If the fixed cost per day is £50, how many tours does the company need to conduct per day to break-even?
3. A recent survey reported the number of holidays taken each year:
Number of holidays Number of respondents
0 25
1 41
2 31
3 22
4 21
Determine the range, interquartile range and standard deviation of the number of holidays.
4. Construct a combined index with Year 3 as the base year:
Year 1 2 3 4 5 6 7 8 9 10
Old Index 156 162 175
New Index 100 123 124 156 172 200 210 230
5. A project costing £440,000 has the following expected benefits:
Year 1 2 3 4 5
Benefits £60,000 £80,000 £120,000 £50,000 £20,000
If the company were to use a discount rate of 8%, what would the NPV of the project be?
6.
a) If two six-sided dice are thrown, what is the probability of getting two fives?
b) What is the probability of selecting a Queen or a Heart from a normal pack of cards when selecting two cards with replacement?
Solution
All the problems are solved with detaild step-by-step instructions and formulae. Tables and illustrations are added wherever applicable. The statistics and Investment appraisal answers are clearly explained with tables.
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