The price of a visit to the dentist is $ 50 $50dollar sign, 50. If the dentist fills any cavities, an additional charge of $ 100 $100dollar sign, 100 per cavity gets added to the bill. If the dentist finds n nn cavities, what will the cost of the visit be? Write your answer as an expression. $ $dollar sign .

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).