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Recursos para tareas escolares en Sudáfrica

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South Africa
2.1f(x)=x2+2x−15 on [0,5];k=9 2.2f(x)=x3−8 on [1,3];k=0 3. Use the Intermediate Value Theorem for contimous fumetions to shou that the equations have at least one real solution on the giveu interval. 3.1x4+x−3=0 on [1,2] 3.2x5−x2+2x=1 on [0,1]
Cálculo Mar 28, 2025
Question 1 / Vraag 1 (14) Income Tax: Rates of Tax for Individuals / Inkomstebelasting: Belastingkoerse vir individue Search on the internet (SARS website) for the rates of tax for individuals, for the 2026 tax year (1 March 2025-28 February 2026). This information can be used to write income tax (T) as a function of taxable income (x). Use this information to create a piecewise defined function T, using one independent variable x, to model the rates of tax for individuals. / Gaan soek op die internet (SARS/SAID webtuiste) vir die belastingkoerse vir individue, vir die 2026 belastingjaar (1 Maart 2025 28 Februarie 2026). Hierdie inligting kan gebruik word om inkomstebelasting ( T ) as ' n funksie van die belasbare inkomste ( x ) te skryf. Gebruik hierdie inligting om 'n stuksgewys gedefinieerde funksie T te ontwikkel, deur een onafhanklike veranderlike x te gebruik, om die belastingkoerse vir individue te modelleer. Question 2 / Vraag 2 (10) The supply function for a commodity takes the form qs(p)=ap2+bp+c, for some constants a,b,c. When p=1, the quantity supplied is 5 ; when p=2, the quantity supplied is 12 ; when p=3, the quantity supplied is 23 . Use matrix reduction (Gaussian elimination) to determine the constants a,b,c. Give the supply funcrtion. / Die aanbodfunksie vir ' n produk het die vorm qs(p)=ap2+bp+c, vir die konstantes a,b,c. As p=1, is die hoeveelheid wat verskaf is 5 ; wanneer p=2, is die hoeveelheid wat verskaf is 12 ; wanneer p=3, is die hoeveelheid wat verskaf is 23. Gebruik matriksreduksie (Gauss-eliminasie) en bepaal die konstantes a,b,c. Skryf die aanbodfunksie neer.
Ciencias económicas Mar 28, 2025
In 2024 , a company made a profit of R2.5 million from selling laptops at R4,500 per laptop. If their fixed costs are R580,000 per annum and the cost to produce each laptop is R2,900, how many laptops did they sell in 2024 ?
Álgebra Mar 28, 2025
A company sells shoes at R699.00 per pair. Their fixed costs are R560,000.00 per month with the cost of producing each shoe pair being R320.00. In order to make a profit, what is the minimum number of pairs of shoes do they need to sell per month?
Ciencias económicas Mar 28, 2025
Jabulani has managed to save R85,000 from his salary. He wants this money to earn him income at the end of every year. He decides to invest all of his money with two different banks, FNB and ABSA, paying him 6.5% annually and 8% annually, respectively. How much should Jabulani invest with each bank if he wishes to get R5,000 per year.
Álgebra Mar 28, 2025
A clothing store has current liabilities of R230,000 and current assests of R775,000. To raise funds to expand their business, they want to take out a short-term loan. What is the maximum amount they can borrow if their current ratio is to be no less than 2.6 ?
Álgebra Mar 28, 2025
Solve the inequality 5(x+1)3<x−3(1−x)5 and express the answer in interval form.
Álgebra Mar 28, 2025
4. The cost of a product to a retailer is $3.40. If the retailer wishes to make a profit of 20% on the selling price, at what price should the product be sold? 5. Solve the following inequalities and represent your answer on a real number-line and in interval form. (a) 5x−11≤9
Álgebra Mar 28, 2025
Study the scenario and complete the question(s) that follow(s): Designing a Unique Aquarium Tank As an engineer designing custom aquarium tanks, you are tasked with creating a uniquely shaped tank to fit a specific space. The tank's profile is defined by the curves y=−x+2 and y=1, and it is rotated around the line y=−1 to form a distinctive, bowl-like structure. To ensure the tank meets volume requirements for water capacity and aquatic life, you must calculate its total volume using integral methods. Source: Mafemba, J. 2024. Using the shell method, calculate the volume generated by rotating the region around the specified line in the scenario above. (8 Marks)
Cálculo Mar 28, 2025
Sequences and series GEOMETRIC SEQUENCES −12;p;y is a geometric sequence and p;y;−12 is an arithmetic sequence. Find the values of p and y.
Álgebra Mar 28, 2025
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