Several fish were accidentally released into a lake. After weeks, the number of fish is estimated to be . Determine the likely number of fish in the lake after 5 weeks. Give your answer to the nearest whole number.
The function represents a population, in millions, years after 1970 that is growing at an annual rate of and started at 13.2 million in 1970. What is the value of ?
A microorganism reproduces by binary fission, where every hour each cell divides into two cells. Given that there are 8 075 cells to begin with, determine how long it will take for there to be 516 800 cells.
The population of a city increases by every year. How many years does it take for the population of the city to double?
The population, , of a city in year is given by the formula . Determine the year in which the population of the city was 2.1 million.
At the start of an experiment, a scientist has a sample which contains 250 milligrams of a radioactive isotope. The radioactive isotope decays exponentially, so that after 250 minutes there are only 32.0 milligrams of the isotope left.
Write the mass of isotope in milligrams, , as a function of the time in minutes, , since the experiment started. Give your answer in the form , rounding and to three significant figures.
Find the half-life of the isotope, giving your answer to the nearest minute.
A quantity decays in time years according to the formula . If half the amount is left after 46 years, what is the value of ?
Benjamin wants to save for a down payment on a home. How much will he need to invest in an account with APR, compounding daily, in order to reach his goal in 5 years?