Other Math Answers

1. Michael is going to share the cost of his cell phone with his parents by contributing half of the cost. He has a summer job cutting grass in the neighbourhood, the going rate for cutting grass is $10.50 per hour. Micheal also wants to save 1/2  of his earnings for his own use next year. How many hours will he have to cut grass to pay for his share of the cell phone?

If 5 teachers can mark 450 scripts in 5 days, how many scripts will 20 teachers mark in 8 days?

4.The profit function and the average cost function for a product of a company are

p(x) = - 4000 + 194x - 0.149x² in ringgit and ________ 4000

C(x) = 6 - 0.001x + ^________

^x

ringgit respectively, when x is the quantity sold in units. Find

(a) the total cost function

(b) the revenue function

(c) the quantity which will maximize the profit

(d) the maximum profit

(e) the price at maximum profit

Integrate the following

A) 3x + 21x²

B) x³-1

 ∫³₂ -------- dx

x²

2.Find the maximum and minimum points for the function f (x) =x³ - 3x² - 9x - 8 (Differentiation)

1. If 8 teachers can mark 450 scripts in 5 days, how many scripts will it take 20 teachers to mark in 8 days?

a curve has the equation y=3x^2=5x+4

1- find the gradient of the curve at the point (2,6)

2- find the coordinates of the point on the curve where the gradient is -2

the value of shares in a company is modelled by the equation v=-5t^2+30t+40 where v is the value in pence of one share and t is the time in years after the shares were first traded.

find v when t=0

a water tanker used a garden centre is filled by the rain and emptied as the water is used to water plants. the volume of water in the tank over a particular week is modelled by the equation v=30+6t-t^2 for 0≤t≤7, where v is the volume in litres and t is the time in days from the start of the week.

1- find the rate, in litre per day, at which the volume of water is increasing after 2 days.

2- find the maximum volume of water in the tank during the week.

If a certain number x is multiplied by 6, it will be equal to four less than twice the same number. The

correct equation for the above sentence is: