Algebra Answers

Nick is given $50 to spend on a vacation. He decides to spend $5 a day. The amount Nick has left and the number of days are related. How many days Nick have after $25?

Evaluate the cube root of z=27cis(240^ \circ) . Then raise them to the cube. Show the steps of your reasoning.

2. Evaluate [ \sqrt[5]{3} ( \frac{ \sqrt{3}}{2}+ \frac{i}{2} ) ]^{10} .

3. Find \frac{z_1}{z_2} in polar form:

z_1=21cis(135^ \circ) z_2=3cis(75^ \circ)

Carlos has 16 magazines to read.

Let m be the number of magazines he would read after R of them.

Write an equation relating M to R. Then use this equation to find the number of magazines he would have left to read after reading 11 of them.

How to simplify (2x3)3

1. Draw pictures showing how 58×4 could be modelled with base-10 blocks or with areas on base-10 grinds. ( Use at least two of the methods)

2. Sipho has a piece of strings that is exactly 3cm long. He wants to divide it equally among three friends. Illustrate with the number line what each of the string each one receive? (2)

1. Use any strategy to teach compensation concept of 453+96 to a grade five class. Explain the process in full. State the purpose of teaching compensation in mathematics. (2)

2 The traditional way of teaching mathematics is to make learners memories concept. Student invented strategies is suggested in the teaching and learning of mathematics concept. In your view, do you think this new strategy will assist in the development of understanding of mathematics.

the demand function 𝑄(𝑃) and cost functions 𝐶(𝑄) of a commodity are given by the equations:

𝑄=12000−60𝑃

𝐶(𝑄)=10000+4𝑄,

where 𝑃 and 𝑄 are the price and quantity, respectively. 

The total revenue function 𝑇𝑅 in terms of 𝑃 is:

a.

𝑇𝑅=12 000−60𝑃.

b.

𝑇𝑅=𝑃(12 000−60𝑃2).

c.

𝑇𝑅=12 000𝑃−60𝑃2.

d.

𝑇𝑅=12 000+60𝑃2.

5,10,15,20. the next number is

The demand function of a firm is

Q=90−1,5P,

where P and Q represent the price and quantity, respectively. At what price is revenue a maximum?

What is the solution of the eqation 1/3(x+2)=2/3x+4