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1. You are asked to organise a rock concert. You need to find the costs involved. Solve problems to find the cost of: Artists Venue P.A. hire Lighting rig Security Catering Printing backstage passes Artist requirements (guitar picks; champagne; M&Ms). 2.
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1 You are asked to organise a rock concert. You need to find the costs involved. • Solve problems to find the cost of: • Artists • Venue • P.A. hire • Lighting rig • Security • Catering • Printing backstage passes • Artist requirements (guitar picks; champagne; M&Ms)
2 You contact an agent to book the artists: Break the code to find the agent’s name. KYLLW EMJBZCPE Hint: this is a classic cipher code ~ it involves a ‘slide’ in the alphabet ABCDEFGHIJKLMNOPQRSTUVWXYZ ZABCDEFGHIJKLMNOPQRSTUVWXY
3 The headlining artists are David Bowie; Radiohead; and Metallica. The fee for each artist is £x 8 x 106x 1.5 x 102 = x 2 x 103
4 P.A. hire = £ t000 t + 12 + 4t – 12 = 3 t + 2 3t - 4 (Take the even value of t )
5 Venue : Millennium Stadium, Cardiff Cost £ y y = the area of a square with a perimeter of 2000 units
6 The cost of the lighting rig and pyrotechnics = £y000 y = the non-prime y coordinate of the point of interception of: y = x2 – 8x – 4 and x + y = 26
7 Find the fifth three point moving average of the data to find the cost of security.
8 The cost of catering is the same as the number of people who choose mineral water at the bar. Customers at the bar choose either beer, cola or mineral water. They either prefer Bowie, Radiohead or Metallica. Probabilities: P(customer chooses beer) = 0.4 P(customer chooses mineral water) = 0.1 P(customer likes Bowie best) = 0.37 P(customer likes Metallica best) = 0.39 The number of customers choosing cola who prefer Radiohead is 15,000.
9 Cost of colour coded M & Ms is the same as the volume of cone Q P Q The cones are similar. The ratio of the heights of P to Q is 3:2 The volume of P is 30.375 cm3
10 Champagne ! The artists want bottles of Dom Perignon freely available . The cost of one bottle is £a x2 + y2 = a This is the equation of a circle. It passes through the points (0,9) and (0,-9)
11 Back Stage Pass The printing cost of the back stage passes is £g 22x51/2x92x3-3x 53/2 x 51/2 x 2-1 x 20 x 51/2 = g
12 Spareguitar picks ! ~ a necessary extra in any rock star’s dressing room. One pick costs £d 8.3 104 + 4.15 10-2 – 1.5 10 –3 - ( 2.075 104) 6.4 103 = d 4 100 23 102
13 • Answers: • Agent: Manny Goldberg • Cost of each artist: £600,000 • Venue: £250,000 • PA Hire: £8000 • Lighting rig and pyrotechnics: £16,000 • Security: £38,000 • Catering: £12,500 • M&Ms: £9 • Dom Perignon per bottle: £81 • Printing backstage passes: £750 • Guitar pick: £0.08 each