. 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 profi t, π, if the fi rm manufactures x pots of paint and sells y pots. (b) Use your formula to calculate the profi t 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 fi rm sells all that it manufactu

i think it might be a but you might want a second opinion

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours

step-by-step explanation:

consider the parallelogram shown in the attached image.

in the parallelogram hijk, the length of hk is given as,

from the properties of parallelogram we know that the opposite sides of a parallelogram are parallel to each other and are equal in measure.

therefore, the length of the side ij must be equal to the length of the side hk and that is .

hence, the expression for the length of ij confirms that hijk is a parallelogram.

1332.

this is because to get from 333 to 999 you multiply by 3, and you should do the same to the number of hours.

therefore you would do 444*3=1332