these are the some please help !!!!!
1. [ Maximum Marks 6] Monisha and Peter both receives $0900 Australian dollars (AUD) on their 18 th birthday to invest for later in their life. Monisha deposited her 80000 AUD in a bank account that pays a nominal annual interest rate iscompounded monthly. () The amount in a hank account after 6 years will be 100000AUD. Find the nominal ammial interest rate. Give your answer correct to two decimal places. Peter uses his 80OOO AUD to buy a house that increases in value at a rate of 3% per Year (b) Find the house price after 6 years 2. [ Maximum Mark 5] The cost per person, in cums, when & people are invited to a party can be determined by the function K B(d) Write down the number of days the tomato sales will be (i) Between 42 kg and 50kg. (ii) Between26 kg. and 55 kg. [2] Another days sales were recorded. It was a quiet day due to bad weather and only 8 kg of tomatoes were sold. (e) Determine if this day would be considered an outlier. [2] 9.[ Maximum Marks 6] 10. [ Maximum Marks 6] Mehmet organizes a graduation party on a boat in the Starit of Island for his peers from college. The Cost to rent a large boat for the evening is 5000 Turkish Liras(TRY) and the cost to hire a DJ is 1500TRY. . The cost for food and drinks is estimated to be 125 TRY per person. (a) Find an expression for the total cost , y TRY. Of the evening in terms of the number of peers, x attending the party [2] (b) Find the total cost of the evening, if 40 peers attend the party [2] (c) Given that Mehmet decides to collect 250 TRY from each peer attending the party. Find the least number of peers he has to invite to be able to cover the total cost of the evening [2] - Times B1 1. [Maximum Marks 6] The diagram below shows a triangular backyard ABC. A dog is on a leash attached to a pole at point A. The length of the leash is 10 metres. 23 m 50 10 m (a) Find the area of the backyard that the dog cannot reach [4] The owner of the dog estimates that the area the dog cannot reach is 50 m (b) Calculate the percentage error in the dog owner's estimate [2] 12. [Maximum Marks 6] The depth of D in meters in a harbour on a particular day can be modelled by the equation 1 - Times B . B.Singh 12. [Maximum Marks 6] The depth of D in meters in a harbour on a particular day can be modelled by MULA the equation D = 3 sin( 30't) + 5.0 sit s 24, where t is the elapsed time, in hours, since the midnight. (a) Draw the graph of D versus t in the grid given below [2] 10 D 12 15 18 21 24 46 % . Times Examret13: [ Maximum Marks 6] In a kinder garden child aged 3 to 6 years old were asked to select their preferred toy. The choices were wooden blocks, puzzles and board games. The data obtained was organized in the following table Wooden Puzzles Board Blocks Total Age 3 28 18 34 22 62 Age 5 18 16 24 58 Are 6 12 20 Total 84 221 A x' test is carried out at 5 % significance level with hypotheses Ha : the preferred toy is independent of the age Hi: the preferred toy is not independent of the age. The x2 critical value for this test is 12.6 (a) Find the value of k [I] (b) Determine the number of degrees of freedom for this test [1] (c) Use your graphic display calculator to find the xstatistic for the test 12] in State the concluding for this he - Times . B. X xTotal 721 A x' test is carried out at 5 % significance level with hypotheses Ho : the preferred toy is independent of the age Hy : the preferred toy is not independent of the age. The x' critical value for this test is 12.6 (a) Find the value of k (b) Determine the number of degrees of freedom for this test [1] (c) Use your graphic display calculator to find the xstatistic for the test (2] (d) State the conclusion for this test, Give a reason for your answer. B . B . Times2. [ Maximum Marks 5] The cost per person, in euros, when x people are invited to a party can be determined by the function C(x) = x + 100 (a) Find C'(x) [2] (b) Show that the cost per person is a minimum when 10 people are invited to the party. [2] (c) Calculate the minimum cost per person. [2] HISP. 180P PM Examination BDP- Math AISL P1 Page 3of9 - Times 1 5 15 8 9 O3. [ Maximum Marks 6] The sites A. B (not shown) , C and D in the Voronoi diagram below represent the location of rain fall recording gauges on large farm in Texas , USA. Horizontal scale: I unit represents 1 km. Vertical scale: 1 unit represents I km. (kin) c D (km) 9 10 11 12 (a) Site B is missing from the diagram. Write down its coordinates. 4 . Times123456789 10 11 12 x (km) (a) Site B is missing from the diagram. Write down its coordinates. [1] (b) Calculate the area of the cell C. [2] (c) Find the distance from the point E (9, 8) to the nearest rainfall recording gauge [2] The table below shows the measurements of the average monthly rain fall (mm) of each of the recording gauges. site Average monthly rainfall, mm A 43 B 38 C 56 D 49 (d) Estimate the average monthly rainfall at point F (1.6) in mm . Times 8 O R O P4. [ Maximum Marks 6 ] In this question give all answers correct to two decimal places. Amit relieves a loan of
