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?
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Chapter 12 Solutions
EBK INTRODUCTORY AND INTERMEDIATE ALGEB
- File Edit View History Bookmarks Profiles Tab Window Window Help Things Quadratics! Part 1 X SM◄))) 61% Fri 25 student.desmos.com/activitybuilder/instance/67b739e7356cae7898fd0dbd/student/67b8f115811d42186c239e23#screenid=41a95 ngs Quadratics! Part 1: Parabolas Mitchell 30 30 foo feet 20- 20 10 0 -10 FEB 21 3 10 10 80 FS F3 X Intercepts #2 20 20 Approximately how tall is the shooter? > Which intercept did you use to solve the above problem? x-intercept y-intercept 30 feet Explain your thinking. 1 √E Submit 00000 acBook stv 399 ? DOD 000 F4 % 5 W E R F5 A F6 F7 F9 & * 7 8 9 0 Y U C 014arrow_forwardThe table below shows the acreage, number of visitors, and total revenue of state parks and recreational areas in Massachusetts, New York, and Vermont in 2010. State Acreage (in thousands) Visitors (in thousands) Revenue (in thousands) Massachusetts 350 35,271 $12,644 New York 1,354 56,322 $85,558 Vermont 69 758 $10,969 Select the three true statements based on the data in the table. A. Vermont had the highest revenue per acre of state parks and recreational areas. B. Vermont had approximately 11 visitors per acre of state parks and recreational areas. C. New York had the highest number of visitors per acre of state parks and recreational areas. D. Massachusetts had approximately 36 visitors per acre of state parks and recreational areas. E. New York had revenue of approximately $63.19 per acre of state parks and recreational areas. F. Massachusetts had revenue of approximately $0.03 per acre of state parks and recreational areas.arrow_forwarda) show that the empty set and sigletonset are convex set. 6) show that every sub space of linear space X is convex but the convers heed not be true. c) let Mand N be two convex set of a linear Space X and KEF Show that MUN is conevex and (ii) M-N is convex or hot A and is MSN or NSM show that MUN convex or not, 385arrow_forward
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
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