A specialist paint manufacturer receives $12 for each pot sold. The initial set-up cost for the production run is $800 and the cost of making each tin of paint is $3.
(a) Write down a formula for the total profit, π, if the firm manufactures x pots of paint
and sells y pots.
(b) Use your formula to calculate the profit when x = 1000 and y = 800.
(c) State any restrictions on the variables in the mathematical formula in part (a).
(d) Simplify the formula in the case when the firm sells all that it manufactures.

Choose the correct slope of the line that passes through the points (1, -3) and (3, -5)

Use the following statements to write a compound statement for the conjunction or disjunction. then find its truth value. p: an isosceles triangle has two congruent sides. q: a right angle measures 90° r: four points are always coplanar. s: a decagon has 12 sides. a) a right angle measures 90° or an isosceles triangle has two congruent sides; true. b) a right angle measures 90° and an isosceles triangle has two congruent sides; true. c) a right angle measures 90° and an isosceles triangle does not have two congruent sides; false. d) a right angle measures 90° or an isosceles triangle does not have two congruent sides; true.

What is mean median mode and range?