Search & Filtering
a)Solve the following:
i) 2x/2-16=1/32 ii) log8(x-2)+log8(x)=1
b) The demand curve for a swivel chair is given by p=4000(3-q) dollars per swivel chair, where p is the price and q is the quantity, in thousands of swivel chair, demanded at that price. What quantity will be demanded if the price per swivel chair is $256.60?
The demand function for a tablet is given by the model p = 200 - 16x2 where p is measured in dollars per tablet and x is measured in millions of tablets. If it costs $50 to produce each tablet and a profit of $125 million was derive when 2.5 million tablets were produced. Derive the number of tablets that the company could sell to make the same amount of profit?
Question 1(Multiple Choice Worth 4 points)
(05.02)
Two quantities are related, as shown in the table:
xy
(2,3)
(4,4)
(6,5)
(8,6)
Which equation best represents the relationship? y = x + 2
y = x + 1
y = x + 2
y = 2x + 1
A farmer has enough money to build only 100 meters of fence. What are the dimensions of the field he can enclose with the maximum area?
A 25m x 25m
B 20m x 30m
C. 15m x 35m
D. 22.5m x 27.5m
If a, b and c are the roots of the equation x^3 -6x^2 +10x -6 = 0, find the values of
a^2 +b^2 +c^2 and 1/a +1/b + 1/c
if g(x)=x4(2x-1)10, then g(1) is?
Given 4 ropes of lengths 20 m, 14m, and 32m. iIf the ropes are to be cut into pieces of equal lengths without any remainder, what is the greatest possible length of a piece ?
What is the ratio of 24 sweets from buy 2 get 1 free
Gary and his 5 friends equally divided among themselves 9 1/2 kg of fish which they caught together. How many kilograms of fish will each of them receive?
