Reference no: EM132232709

Questions -

Q1. For what value of x will the function f(x) = -3(x - 10)(x - 4) have a maximum value? Find the maximum value.

Q2. It takes a boat 3 hours to travel down a river from point A to point B, and 5 hours to travel up the river from B to A. How long would it take the same boat to go from A to B in still water?

Q3. An airplane flies against the wind from A to B in 8 hours. The same airplane returns from B to A, in the same direction as the wind, in 7 hours. Find the ratio of the speed of the airplane (in still air) to the speed of the wind.

Q4. In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats is $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?

Q5. If a tire rotates at 400 revolutions per minute when the car is traveling 72km/h, what is the circumference of the tire?