A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 390. (a) Find an expression for the number of bacteria after t hours. P(t) = (b) Find the number of bacteria after 4 hours. (Round your answer to the nearest whole number.) P(4) = bacteria (c) Find the rate of growth after 4 hours. (Round your answer to the nearest whole number.) P'(4) = bacteria per hour (d) When will the population reach 10,000? (Round your answer to one decimal place.) hr t =

City One has 205 rainy days out of 365 days while City Two has 168 rainy days out of 365 days. Test if the percentage of rainy days in City One is larger than the percentage of rainy days in City Two. Use α=0.05. Round you answer to 3 decimal places.

The population of a small town is given by P(t) = 504 (1.05)t . Determine what the population will be in 10 years. Round your answer to the nearest whole number.

The equation n = 0.03t² 0.58t + 3.98, models, n, the number (in millions) of people who moved to another state in the year that is t years since 1990. The table below shows some of the data that were used to find this model. Year 1995 1998 2001 2004 2006 Number of People Who Moved to Another State (millions) a. When t = 1.8 1.2 1.1 1.5 2.1 0 what is the value of n? What does it mean in this situation? Select an answer b. Estimate the number of people who moved to another state in 2005. million (Round to the nearest tenth of a million.) c. Predict the number of people who moved to another state in 2014. million (Round to the nearest tenth of a million.)

The decline of a city's population is modeled by P = 1.8  106e−0.007t. How large will the population be when t = 20? (Round your answer to the nearest whole number.)P =