A demand function for certain products is q= 300p+ 10,000. the fixed expenses are $500,000 and the variable expenses are 2$ per item product. a. express the expense functions of term of q

b. if the price is set at 20, what quantity will be demanded.

c. if q= 1000 widgets, find E, the cost (expense) of producing them

d. Use substitution to the expense function in terms of p

e. if the price is set at p= $15, how much will it cost to produce the correct number of widgets.

Ascientist places 24 cells in a petri dish. she knows the cells grow at an exponential rate, doubling in number every hour. how long will it take (in hours) for there to be 1100 cells in the dish? time to 1100 cells: 5.51832530 hours how long will it take to reach 110 cells? time to 110 cells : 2.1963972 hours what is the average rate of change in the number of cells between 9 hours and 11 hours? average rate of change: cells per hour what is the instantaneous rate of change after 7 hours? instantaneous rate of change: cells per hour note: you can earn partial credit on this problem.

Asinusoidal function whose frequency is 1/6pi

4. bob solved the inequality problem below incorrectly. explain his error and redo the problem showing the correct answer. −2x + 5 < 17 −2x + 5-5 < 17-5 -2x/-2 < 12/-2 x < -6