I'm trying to solve these two problems that both involve solving for t, and I have been trying to figure it out for hours and simply have no idea what to do. Can someone please guide me through how to set up these two problems?
Industrial psychologist study employee training programs to assess the effectiveness of the instruction. In one study, the percent score P on a test for a person who has completed t hours of training was given by P= 100/1+30e^-.088t. How many hours of training are necessary to achieve a 70% on the test?
Assuming that air resistance is proportional to the velocity of a falling object, the velocity (in feet per second) of an object t seconds after it has been dropped is given by V=82(1-e^-.39t). When will the velocity be 70 feet per second? Show all of your work or explain how you came up with your solution.
Any help/guidance would be so much appreciated!! Thanks so much.