Category: Uncategorized

The marriage rate in a certain country in 1990 was 0.81%, and there were about 397,000 marriages that year.  Use the model , with a constant marriage rate and t = 0 corresponding to 1990 to estimate the number of marriages in 1998.

Solve the problem.A lake is stocked with 670 fish of a new variety. The size of the lake, the availability of food, and the number of other fish restrict growth in the lake to a limiting value of 4187. The population of fish in the lake after time t, in months, is given by the function, . Find the population after 10 month(s).

Solve the problem.The amount of particulate matter left in solution during a filtering process is given by the equation p(n) = 700(2)-0.4n where n is the number of filtering steps. Find the amounts left for n = 0 and n = 5. (Round to the nearest whole number.)

Solve the problem.The number of bacteria growing in an incubation culture increases with time according to n(t) = 9000(5)t where t is time in days. Find the number of bacteria when t = 0 and t = 4.

There are currently 56 million cars in a certain country, increasing exponentially by 7.3% annually. How many years will it take for this country to have 84 million cars?  Round to the nearest year.

Convert to a logarithmic equation. 161/2 = 4

Determine the graph of the function.f(x) =  2.548x

Solve the problem.The number of bacteria growing in an incubation culture increases with time according to n(t) = 9000(5)t where t is time in days. After how many days will the number of bacteria in the culture be 650,000?

Solve the problem. A box contains a radioactive substance.  The number of kilograms, r(t), at time t years is given by r(t) = 2-0.002588t.  How long will it take until only one-half kilogram of the radioactive substance is left in the box?

Solve the equation for x by first rewriting both sides as powers of the same base.