Cambridge AssessmentCANDIDATENAMECENTRECANDIDATENUMBERNUMBERMATHEMATICS0580/42Paper 4(Extended)February/March 20232 hours 30 minutesYou must answer on the question paper.You will need:Geometrical instrumentsINSTRUCTIONSAnswer all questions.Use a black or dark blue pen.You may use an HB pencil for any diagrams or graphs.Write your name,centre number and candidate number in the boxes at the top of the page.Write your answer to each question in the space provided.Do not use an erasable pen or correction fluid.Do not write on any bar codes.You should use a calculator where appropriate.You may use tracing paper.You must show all necessary working clearly.Give non-exact numerical answers correct to 3 significant figures,or 1 decimal place for angles indegrees,unless a different level of accuracy is specified in the question.For i,use either your calculator value or 3.142.INFORMATION.The total mark for this paper is 130.The number of marks for each question or part question is shown in brackets ]This document has 20 pages.Any blank pages are indicated.DC(CJ/SG)312575/3©UCLES2023[Turn over21 (a)(i)Alain and Beatrice share $750 in the ratio Alain Beatrice 8:7.Show that Alain receives $400(ii)(a)Alain spends $150.Write $150 as a percentage of $400.(b)He invests the remaining $250 at a rate of 2%per year simple interest.Calculate the amount Alain has at the end of 5 years.(iii)Beatrice invests her $350 at a rate of 0.25%per month compound interest.Calculate the amount Beatrice has at the end of 5 years.Give your answer correct to the nearest dollar.(b)Carl,Dina and Eva share 100 oranges.The ratio Carl's oranges Dina's oranges=3:5.The ratio Carl's oranges:Eva's oranges =2:3.Find the number of oranges Carl receives.UCLES 20230580W42/FM/23(c)Fred buys a house.At the end of the first year,the value of the house increases by 5%.At the end of the second year,the value of the house increases by 3%of its value at the end of thefirst year.The value of Fred's house at the end of the second year is $60 564.Calculate how much Fred paid for the house.(d)Gabrielle invests $500 at a rate of r%per year compound interest.At the end of 8 years the value of Gabrielle's investment is $609.20Find the value of r.UCLES 20230580W42/FM/23[Turn over