Mathematics Assignment: Numeracy Assignment
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Added on 2020-06-04
Mathematics Assignment: Numeracy Assignment
Added on 2020-06-04
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Numeracy 2·
Academic MisconductYou are responsible for ensuring you understand the policy and regulations about academic misconduct. You must:壱Complete this work alone except where required or allowed by this assignment briefing paper and ensure it has not been written or composed by or with the assistance of any other person.弐Make sure all sentences or passages quoted from other people’s work in this assignment (with or without trivial changes) are in quotation marks, and are specifically acknowledged by reference to the author, work and page.This portfolio consists of two sections:Section 1is worth 75% of the final mark and consists of 8 questions (70%) and periodic Skills Audit (carrying 5%).Section 2 consists of 3 tasks. Combined they are worth 25% of the final mark.Task 1 – Two Real life examples (8%)Task 2 – Online Activity (10%)Task 3 – Reflective log (7%)Portfolio Contents1Week / ContentSection 1 QuestionLearning OutcomePageSection 1Recap numeracy 1. Introduction. Powers. Use of calculator1 *1,2Powers, root, logarithms.Use of calculator2 *1,2Simple & compound interest 13,4*1,2Linear relationships. Scatter plots.5 *1,2,3Further linear relationships5 *1,2,3The future value of money. Net present value.6 *1,2Presentation of data. 2
Histograms.7 *1,2,3Probability.8*1,2RevisionNone1,2,3Section 2Real-Life ExamplesN/A1,3Online ActivityN/A1,2,3Reflective LogN/A1,2,3* Also assessed in the online quiz, Section 2, Task 3Section 1This section should be filled in as you acquire the skills required for each question.Answer all questions. Please show your workings and/or explain your results as required.Marks will be awarded for good presentation. Please evaluate your progress using the skills audits provided.You may use your calculator as required.You must show your working.QUESTION 1 [6 marks]Powers and Roots:a)Simplify (2 marks)b)Simplify (2 marks)c)Evaluate (2 marks)Q1: In numerical terms power of a number shows vital information about total time which isbeing use that particular number is multiplied. This is represented by using small digits to rightand above base value. Other digit of power is said to be index or exponent. It is said to be thatspecific value than 0 which is taken as zero(0) power and define as 1 (Venkat and Naidoo,2012). For the purpose of simply power of a number, exponent has to be multiplied throughkeeping similar base. Such as:Simplify (6.0*105) / (25*10-4) =(60*104) / (25*10-4)Negation of 60= 15*4 and applying the formula of am/an=a m-n= 4*104-(-4)
= 4*108Root: It is known as effective root of a digit X to another number that is being multipliedas itself in various manner. A more effective word to which affixes are taken into account as rootof that number. Such a example, second root of 3 is thrice, because 3*3=9. This has been seen asclear that other root are always determine as square root of that particular digit.Evaluating square roots: This will be simply as perfect means that is use to analyse totalvalue of mentioned data. Such as:=?3+1= 2.734
QUESTION 2[8 marks]a)Express the power 100 1/2using the root notation and evaluate. (2 marks)b)Evaluate (2 marks)c) Simplify7(2 marks)d)Scientific notation allows one to express large or small numbers in a simpler form. Express the UK population of 65,648,000 in a scientific notation (2 marks)[Q2: (a): It has been observed that every non-negative real number has specific set of square root thathas been determine as perfect square of a number. It has been represented as=1001/2 = 10.(b): A square root is said to be effective number which is used to multiply with itself to makeproper values. It is more easy to identify as written symbol which has been useful to examineamount and other specific value.(c): In order to evaluate 7 there are different ways through which it can be represented. It hasbeen shown underneath:Round it off:Create zeros: In this case, 7 becomes 10. [d]: Calculation of scientific notation=6.5648×107=6.5648e7=65.648×106=65648000(real number)]QUESTION 3[10 marks]
Ann Miller invests £150,000 at an interest rate of 6% p.a.Calculate the final balance after 5 years.a) Using simple interest?(1 mark)b) Using interest compounded annually? (3 marks)c) Using interest compounded semi-annually? (3 marks)d) Using interest compounded quarterly? (3 marks)[Q3: (a): Simple interest: It is said to be interest amount calculated only on principles not at principleplus earned incomes in the previous time (Skwarchuk, Sowinski and LeFevre, 2014). It isbasically, helpful in variable rate as consumer lending and mortgage loans are borrowed throughpaying interest amount only on capital used.Formula: SI: P*R*T/ 100=SI: 150000*0.06*5 : $45000Normally, the interest is enclosed onto the first amount of digits which is measured with6% rate. The new sum in 5 year they will get is:=150000+45000= 195000.(b): Interest compounded annually: It is said to sum of interest which is included into theprinciples amount of total investment. This seems to be valuable results of re-investing interest,instead of profit it is calculated underneath:Formula: A= P(1+r/n)ntYearYearInterestTotalDepositsTotalInterestBalance1$9,000.00$150,000.00$9,000.00$159,000.002$9,540.00$150,000.00$18,540.00$168,540.003$10,112.40$150,000.00$28,652.40$178,652.404$10,719.14$150,000.00$39,371.54$189,371.545$11,362.29$150,000.00$50,733.84$200,733.84(c): Interest compounded insemi-annually rate:This can be evaluated with effective rate of interest which is said to be 6.09%6
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