Math Answers

Among 250 employees, of the local office of an international insurance company, 182 are

whites, 51 are blacks and the rest are Orientals. If 5% margin of error is used,

5. How many employees will be chosen for a case study as samples?

6. How many Orientals will be chosen?

7. How many whites will be chosen?

Write v as a linear combination of u1, u2, u3, where

(a) v = (4, −9, 2), u1 = (1, 2, −1), u2 = (1, 4, 2), u3 = (1, −3, 2);

(b) v = (1, 3, 2), u1 = (1, 2, 1), u2 = (2, 6, 5), u3 = (1, 7, 8);

(c) v = (1, 4, 6), u1 = (1, 1, 2), u2 = (2, 3, 5), u3 = (3, 5, 8);

Andile earn 1250 per week and lindas earn 1500 per week calculate the ratio of lindas salary to andile salary in simplest form

 Let A = {1,2,3,4,5,6} and let p1 = (3,6,2) and p2 = (5, 1, 4) be permutations of A.

(a) Compute p1 ◦ p2 and write the result as a product of cycles and as the product of transpositions.

(b) Compute p−1 ◦ p−1. 

Let A = {a,b,c,d}, B = {1,2,3}, and R = {(a,2), (b, 1), (c, 2), (d, 1)}.

(a)Is R a function?

(b)Is R−1 a function?

Explain your answers.

. Given market demand Qd = 50 - P, and market supply P = Qs + 5

A) Find the market equilibrium price and quantity?

B) What would be the state of the market if market price was fixed at Birr 25 per unit?

C) Calculate and interpret price elasticity of demand at the equilibrium point.

The demand for tickets to an Ethiopian Camparada film is given by D(p)= 200,000-

10,000p, where p is the price of tickets.If the price of tickets is 12 birr, calculate price

elasticity of demand for tickets and draw the demand curve

A rational consumer spends all of her income on two goods: Apple and Banana. Suppose the last dollar spent on Apple increased her total utility from 60 utils to 68 utils and the last dollar spent on Banana increased her total utility from 25 utils to 29 utils. If the price of a unit of Apple is 2 Birr, what is the price of a unit of Banana at equilibrium?

A person has $ 100 to spend on two goods X and Y whose respective prices are $3 and $5.

A. Draw the budget line.

B. What happens to the original budget line if the budget falls by 25%?

C. What happens to the original budget line if the price of X doubles?

D. What happens to the original budget line if the price of Y falls to $4?

The force of interest at any time t, (measured in years) is given by

 0.07−0.005t, 0≤t<5 0.06 − 0.003t, 5 ≤ t < 10

δ(t) =

What is the total accumulated in value at any time t (> 0) of investments of $100 at

0.03, t ≥ 10 times 0, 4 and 6?