Shannon feeds her cat twice a day. In the morning, she feeds her cat one can of cat food. In the evening, she feeds her cat one and a half cans of cat food. Shannon's cat eats $10$ ounces of cat food a day. Write and solve an equation to find out how much cat food, in ounces, each can of cat food holds. Respond in the space provided.

Which expression is equal to (f+g)(x)?

If $190 is invested at an interest rate of 11% per year and is compounded continuously, how much will the investment be worth in 4 years? use the continuous compound interest formula: a = pert

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?