8. The number of women graduating from 4-year colleges in the United States grew from 49,000 in1930 to 832,000 in 2005. Find an exponential function that fits the data. What is the exponentialgrowth rate? In what year will the number of women graduates surpass the 2,000,000 mark?

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Answered: 8. The number of women graduating from…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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A population numbers 20,000 organisms initially and decreases by 3% each year. Suppose P represents population, and t the number of years of growth. Write an exponential model to represent this situation. P = Preview
9. A new car is purchased for $22,627. Each year, the car decreases in value by 3.1%. a. Write an exponential function for the value of the car using time (t) in years as the input quantity. b. How much is the car worth in 5 years? Use your equation from part a to solve. Round to two decimal places.
Suppose the population was 500 on January 1, 2000 and it was 800 on January 1, 2006. Assuming the population grows exponentially, find the growth rate. Write your answer in percentage rounded to the nearest hundredth. Enter number only, i.e., if your answer is 3.45%, enter 3.45.
The number of employees at a certain company is 1440 and is increasing at a rate of 1.5% per year. Write an exponential growth function to model this situation.
There were 27 deer in a park on January 1, 2000. Six months later there were 38 deer in the same park. Assume the number of deer in the park with respect to the number of months since January 1, 2000 can be modeled by an exponential function. Determine the 6-month growth factor. Determine the 6-month percent change.% Determine the 1-month growth factor. Determine the 1-month percent change.% Define a function, g that relates the number of deer in the park reserve in terms of the number of months that have elapsed since January 1, 2000, n . (Assume the number of deer continues to increase by the same percent each month).
22. The population of a rural community was 3050 in 2010 and the population had increased to 3500 in 2015. Assuming exponential growth find the following. a. The growth rate to 4 decimal places and as a percentage. b. Estimate the population in 2018 if the trend continues.
Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 1.9. In 1983, about 1500 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2004?
16. Which situation could be modeled by an exponential function? A A person's heart rate depends on the level of physical activity. B The average resting heart rate for a group of athletes is 55 beats per minutes. C Pieces of paper are repeatedly stacked and cut in half.

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8. The number of women graduating from 4-year colleges in the United States grew from 49,000 in 1930 to 832,000 in 2005. Find an exponential function that fits the data. What is the exponential growth rate? In what year will the number of women graduates surpass the 2,000,000 mark?