Anew cosmetic product costs 74 cents each to manufacture, and 67 cents each to market. if 40,000 will be sold, what must the price of each product be to provide a profit of 25% of the price?

$1.76 each.

Step-by-step explanation:

A new cosmetic product costs 74 cents each to manufacture.

and 67 cents each to market.

Total cost of the product = 74 + 67 = 141 cents

1 dollar = 100 cents

141 cents = = $1.41

If each product be provide a profit of 25% of the price.

The new price will be = $1.41 + (25% × 1.41)

                                   = 1.41 + 0.3525

                                   =  $1.7625 ≈ $1.76

The price of each product on 25% profit must be $1.76 each.

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

answer by yourhope:

hi! : )

a farmer that lived in ancient egypt would most likely be barried in the sand, in the desert!

: )