4. (4 points) A biologist is performing an experiment. She has two petri dishes, each of which are contained with bacteria cultures. The rst petri dish contains a bacteria population which begins with 500 and grows at a rate of 10% per hour. The second petri dish contains a bacteria population which begins with 1000 and grows at a rate of 6% per hour. Determine at what time the two bacteria cultures will have the same amount of bacteria. 5. (3 points) Solve the equation. Give an exact answer and a 2 decimal approximation (if necessary): 236' + 983' = 5 6. (2 points) Some Guy wants to invest $5,000 into an account that is compounded continuously. He wants his investment to grow to $10,000 in 5 years. What annual interest rate is needed so that this happens