Use a calculator with a yx key or a ^ key to solve Exercises 53—56.
53. India is currently one of the world’s fastest-growing countries. By 2040, the population of India will be larger than the population of China; by 2050, nearly one-third of the world’s population will live in these two countries alone. The exponential function
models the population of India, f(x), in millions, x years after 1974.
a. Substitute 0 for x and, without using a calculator, find India’s population in 1974.
b. Substitute 27 for x and use your calculator to find India’s population, to the nearest million, in the year 2001 as modeled by this function.
c. Find India’s population, to the nearest million, in the year 2028 as predicted by this function.
d. Find India’s population, to the nearest million, in the year 2055 as predicted by this function.
e. What appears to be happening to India’s population every 27 years?
54. The 1986 explosion at the Chernobyl nuclear power plant in the former Soviet Union sent about 1000 kilograms of radioactive cesium-137 into the atmosphere. The function
describes the amount, f(x), in kilograms, of cesium-137 remaining in Chernobyl x years after 1986. If even 100 kilograms of cesium-137 remain in Chernobyl’s atmosphere, the area is considered unsafe for human habitation. Find f(80) and determine if Chernobyl will be safe for human habitation by 2066.
The formula
models inflation, where C = the value today, r = the annual inflation rate, and S = the inflated value t years from now. Use this formula to solve Exercises 55—56. Round answers to the nearest dollar.
55. If the inflation rate is 6%, how much will a house now worth
$465,000 be worth in 10 years?
56. If the inflation rate is 3%, how much will a house now worth $510,000 be worth in 5 years?
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 12 Solutions
INTRO.+INTERMED.ALG.F/COLL....-ACCESS
- Can we have an exponential equation using logarithm however i want to show that one mistake is involved in solving it. Showing the mistake and how to be fixed. Thanks.arrow_forwardIs it possible to show me how to come up with an exponential equation by showing all the steps work and including at least one mistake that me as a person can make. Like a calculation mistake and high light what the mistake is. Thanks so much.arrow_forwardConsider the weighted voting system [16: 15, 8, 3, 1]Find the Banzhaf power distribution of this weighted voting system.List the power for each player as a fraction: P1: P2: P3: P4:arrow_forward
- Solutions of inequalitie Google Classroom Mic Is (-3, 2) a solution of 7x+9y > -3? Choose 1 answer: A Yes B No Related content ▶6:06 Testing solutions to inequalities 2 of 4arrow_forwardAre natural logarithms used in real life ? How ? Can u give me two or three ways we can use them. Thanksarrow_forward?arrow_forward
- Solve the equation. Write the smaller answer first. 2 (x-6)² = 36 x = Α x = Previous Page Next Pagearrow_forwardWrite a quadratic equation in factored form that has solutions of x = 2 and x = = -3/5 ○ a) (x-2)(5x + 3) = 0 ○ b) (x + 2)(3x-5) = 0 O c) (x + 2)(5x -3) = 0 ○ d) (x-2)(3x + 5) = 0arrow_forwardA vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 690 square feet. Find the width of the walkway (x) if the garden measures 14 feet wide by 18 feet long. Write answer to 2 decimal places. (Write the number without units). Hint: add 2x to each of the garden dimensions of 14 x 18 feet to get the total area for the length multiplied by width.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_smallCoverImage.gif)