A company that manufactures hair ribbons knows that the number of ribbons it can sell each week, x, is related
to the price p per ribbon by the equation x= 1000 - 100p. At what price should the company sell the ribbons if
it wants the weekly revenue to be $1, 600? (Remember: The equation for revenue is R = xp.)
They should sell the ribbons for $
or $

There is a line with slope 1/a going through the point (a, a²). find the equation of the line perpendicular to this line at this point. (don’t let this problem intimidate you! solve the problem as you would if i’d given you specific values. just use variables instead.)

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 3 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30∘c on monday, but decreased at a constant rate in the next 3 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

Complex numbers multiply √-4 * √-25 and show all intermediate steps. alternative notation is sqrt(-4) * sqrt(-25).