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Problem Set:Q1 How much will you have in 8 years by investing $350 at the end of every month into an investment that earns 4.8% compounded monthly? Q2 An ordinary annuity consists of 50 semi-annual deposits of $700. What is the future value of the annuity if it earns interest at the rate of 6% compounded semi-annually for the first 15 years and 8% compounded semi-annually for the last 10 years? Q3 An ordinary annuity with an opening bala...
InstructionsFormulas to use: Combinations, Permutations, Partial Permutations, Factorial, Factorial Permutations, Counting: subsets, distinct subsets, sequences, cardinality of powerset To do: Please justify why you are using a certain rule (i.e. multiplication rule), by correctly using its definition, Break all problems into cases (Proofs with cases: choose between proofs by-cases or If-then statement proofs) Skills: Logica...
Task(Fill in the blanks) The symbol called the ________ is used in derivations to explicitly indicate that a ________ has been derived. 1. (Pick one) How many lines should be cited for an application of⊥I? a. one b. two c. three 2. How many lines should be cited for an application of¬I? a. one b. two c. three 3. Can negation introduction (¬I) be used to derive any type of formula other than a n...
Assessment InformationYou will find information about TMAs in the ‘Assessment’ area of the website. Please read that information before beginning work on this TMA. The marks allocated to each part of each question are indicated in brackets in the margin. You may use Maxima to check answers, but it should not be used otherwise to answer TMA questions except where explicitly indicated. TMA answers must show...
InstructionsThere are 30 questions in total, make sure you attempt all and number them correctly on this document and in your working notes. Total = 100 Marks 1. Suppose p is true, q is true, s is false. Find the truth value of (~s?p) ? (q?~s) (4 MARKS) 2. Suppose p is false, s is false, r is true. Find the truth value of ~[(s?p) ? ~r] (4 MARKS) 3. Suppose p is false, q is true, s is true. Find the truth value of...
A review of relevant background literature on assessment in mathematics. As a minimum you must include: (i) a brief description of the three recognised main types of assessment (Diagnostic, formative, summative). (ii) What teachers need to take into consideration when implementing different types of assessment (e.g. time spent in terms of knowledge gained about the student's mathematics understanding). (iii) What are some of the advantages/disadv...
(1) The governing equation for the temperature distribution with time on a 2D square plate measuring 1 unit by1 unit is ∂T/∂t = ∂2T/∂x2 + ∂2T/∂y2 , subjected to the Dirichlet boundary conditions for T provided in Fig.1. You are to obtain the following:(a) The temperature contour plot on the square plate with time, say at t=0.01, 0.1 and at steady state. (You can provide contours at other times t...
Discuss the importance of learning Mathematical Logic and Proving Techniques in improving quality of life.2Discuss severalapplicationsofMathematical Logic and Proving Techniques in life.aDiscuss the importance of learning Mathematical Logic and Proving Techniques in improving quality of life.2Discuss severalapplicationsofMathematical Logic and Proving Techniques in life.
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