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INVESTMENT STRATEGIES The Maxwell’s have decided to invest
a. Determine the optimal investment strategy for the Maxwell’s investment of
b. What profit can the Maxwell’s expect to make on their investments if they use their optimal investment strategy?
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Chapter 9 Solutions
FINITE MATH.F/MGRL....(LL)>CUSTOM PKG.<
- Taxable income (R) 1-216 200 216 201-337 800 337 801-467 500 2021/2022 TAX YEAR Rates of tax (R) 18% of taxable income 38 916 +26% of taxable income above 216 200 70 532 + 31% of taxable income above 337 800 110 739 + 36% of taxable income above 467 500 467 501-613 600 613 601-782 200 163 335 + 39% of taxable income above 613 600 782 201-1656 600 229 089 +41% of taxable income above 782 200 4 1 656 601 and above 587 593 + 45% of taxable income above 1 656 600 TAX REBATES • A special relief/discount given to taxpayers. It is subtracted after the income tax has been calculated. • Every person qualifies for primary rebate. Older people are granted additional rebate i.e. If you are older than 65 years of age you will receive Primary and secondary rebate; If you are over 75 years you will receive primary, secondary, and tertiary rebate. Tax rebate type Primary (age below 65) Secondary (65 to 74) Tertiary (75 and older) 2021 R14 958 2022 R15 714 R8 199 R8 613 R2 736 R2 871 • TAX THRESHOLD…arrow_forward25 Topology: Properties of Compact Spaces Task: Refer to Question 25 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC44OAZF/view?usp=sharingarrow_forward4 6 Spectral Theory: Eigenfunctions and Eigenvalues Task: Refer to Question 46 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharing 47 Category Theory: Functors and Natural Transformations Task: Refer to Question 47 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharingarrow_forward
- = Consider the vector space R² with the standard basis {e1 {v1 = (1, 1), V2 = = (1, 0), e2 = (0, 1)} and a new basis new basis. (1,-1)}. a) Find the change of basis matrix from the standard basis to the b) Express the vector w = (2, 3) in the new basis {V1, V2}.arrow_forward28 Real Analysis: Uniform Convergence Task: Refer to Question 28 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharing 29 Probability Theory: Central Limit Theorem Task: Refer to Question 29 in the provided document.arrow_forward53 Ergodic Theory: Poincaré Recurrence Theorem Task: Refer to Question 53 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharing 54 Graph Theory: Eulerian and Hamiltonian Paths Task: Refer to Question 54 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharingarrow_forward
- 38 Mathematical Logic: Gödel's Incompleteness Theorems Task: Refer to Question 38 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharingarrow_forward34 Discrete Mathematics: Graph Coloring Task: Refer to Question 34 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharingarrow_forwardnot use ai pleasearrow_forward
- 3 5 Set Theory: Zorn's Lemma Task: Refer to Question 35 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharing 3 6 Differential Equations: Sturm-Liouville Theory Task: Refer to Question 36 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharingarrow_forward40 Number Theory: Quadratic Reciprocity Task: Refer to Question 40 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharingarrow_forwardConsider the inner product space R³ with the standard dot product. a) Show that the vectors V₁ = (1,2,3), V2 (4, 5, 6), and V3 = (7, 8, 9) form a linearly dependent set. b) Find the projection of = V3 onto the subspace spanned by V₁ and V2. c) Compute the orthogonal complement of the span of V1.arrow_forward
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning