Consumers buy x watches at $p by function x=(5000)/(0.2p+1). Find demand and instantaneous rate of change in demand with respect to p when price is $50. Give a brief interpretation

The demand for a natural resource t years from now will be increasing at a rate of te0.0017 million units per year. If the current demand is 480 million units, write a function for the demand t years from now.

2. Jeremiah makes $15 an hour working part-time at a local fast food restaurant. He pays approximately 11% in taxes on his earnings. If h is his hours worked, model his weekly after-tax wages as a function w(h) of hours worked.

A college dormitory houses 650 students, all of whom are susceptible to a particular infectious virus. On a particular day, the infectious virus had been contracted by 15 students. 3 days later, 135 students had contracted the virus. The number of infected students grows at a rate that is jointly proportional to the current number of students who have contracted the virus and the difference between the total number of students in the dorm and the number who have contracted the virus. a. Find a function that gives the number of students who have contracted the virus at any time t. Round to 5 decimal places, if necessary. P (t) = b. Find the number of students who have contracted the virus 5 days after its initial outbreak. Round to the nearest student. P (5)