Your company experienced 20% turnover last year. This means 20% of people employed at the beginning of the year were terminated or no longer employed by the year's end. You know that a year from now you will need to have 40 more people in your company to keep up with increasing customer demand. How many employees should you plan on hiring, assuming turnover remains constant?

Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).