Exponents Word Problems
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Eighth Grade: Exponents Word Problems
A biologist is researching a newly-discovered species
A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favorable growth medium. Six hours later, he measures 450 bacteria. Assuming exponential growth, what is the growth constant "k" for the bacteria? (Round k to two decimal places.)
An advertising company designs a campaign
An advertising company designs a campaign to introduce a new product to a metropolitan
area of population M = 3 millions. Let P = P(t) denote the number of people who become aware of
the product by time t. Suppose that P increases at a rate proportional to the number of
people still unaware of the product. The company determines that no one is aware of the
product at the beginning of the campaign and that 40% of the people were
aware of the product after 10 days of ...
The rat population in a major metropolitan city
The rat population in a major metropolitan city is given by the formula n(t)= 73 e
0.015 t where t is measured in years since 1990 and n(t) is measured in millions.
What was the rat population in 1990 ...
Country A has a growth rate of 4.7% per year
Country A has a growth rate of 4.7% per year. The population is currently 5,681,000 and the land area of country A is 33,000,000,000 square yards. Assuming this growth rate continues and is ...
One computer industry expert reported
One computer industry expert reported that there were about 600 million computers in use worldwide in 2001 and that the number was increasing at an annual rate of about 10%