The Number e Answers

Which is the graph of the catenary .a.c.b.d.

Bakersfield, California was founded in 1859 when Colonel Thomas Baker planted ten acres of alfalfa for travelers going from Visalia to Los Angeles to feed their animals. The city's population can be modeled by the equation , where t is the number of years since 1950.Find the projected population of Bakersfield in 2010.

The world’s population is expected to grow at a rate of 1.3% per year until at least the year 2020. In 1994 the total population of the world was about 5,642,000,000 people. Use the formula to predict the world’s population , n years after 1994, with equal to the population in 1994 and i equal to the expected growth rate. What is the world’s predicted population in the year 2020, rounded to the nearest million?

How does the value of c affect the graph of f(x) = ex+c?

In the first week of its release, the latest blockbuster movie sold $16.3 million dollars in tickets. The movie’s producers use the formula , to predict the number of ticket sales t weeks after a movie’s release, where is the first week’s ticket sales. What are the predicted ticket sales to the nearest $0.1 million for the sixth week of this movie’s release? (Note: t = 0 for the first week.)

The service-time distribution describes the probability P that the service time of the customer will be no more than t hours. If m is the mean number of customers serviced in an hour, then .Suppose a computer technical support representative can answer calls from 6 customers in an hour. What is the probability that a customer will be on hold less than 30 minutes?

Newton’s Law of Cooling expresses the relationship between the temperature of a cooling object y and the time t elapsed since cooling began, in minutes. This relationship is given by , where c is the temperature of the medium surrounding the cooling object, a is the difference between the initial temperature of the object and the surrounding temperature, and k is a constant related to the cooling object. -The initial temperature of a liquid is F. When it is removed from the heat, the temperature in the room is F. For this object, . Use Newton’s Law of Cooling to find the temperature of the liquid after 15 minutes.

If the Laffite family deposits $8500 in a savings account at 6.75% interest, compounded continuously, how much will be in the account after 25 years?

The Kwans are saving for their daughter’s college education. If they deposit $12,000 in an account bearing 6.4% interest compounded continuously, how much will be in the account when Ann goes to college in 12 years?

Use Newton's Law of Cooling to find the temperature of a substance as a function of time t in minutes that it has spent cooling off.This relationship is given by, , where c is the temperature of the medium surrounding the cooling object, a is the difference between the initial temperature of the object and the surrounding temperature, and k is a constant related to the cooling object. Two samples of the substance were heated in a container of boiling water until their initial temperatures were both 100° C. The first sample will be cooled by being left out at a room temperature of 24° C, and the second sample of the substance will instead be cooled off in a refrigerator with an inside temperature of 4° C. The value of a will equal the difference between each sample's initial temperature and that sample's surrounding temperature, and the cooling constant of the substance is k = 0.12. a. Find the first sample's temperature after it has cooled for 20 minutes. b. Find the second sample's temperature after it has cooled for 10 minutes. a. a. 11.1° C b. 30.1° C c. a. 30.9° C b. 32.9° C b. a. 33.1° C b. 34.1° C d. a. 26.2° C b. 5.2° C Please select the best answer from the choices provided