Homework Help is Here – Start Your Trial Now!
Math
Probability
1. In 2002 the population of school children in a city was 90,000. This population increases at a rate of 2% each year. What will be the population of school children in year 2010? 2. Janine owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 8% annually, how many stores does the restaurant operate in 2007? 3. The number of insects in a colony doubles every month. At present there are 25 insects in the colony, about how many insects will there be in the colony after three months?

1. In 2002 the population of school children in a city was 90,000. This population increases at a rate of 2% each year. What will be the population of school children in year 2010? 2. Janine owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 8% annually, how many stores does the restaurant operate in 2007? 3. The number of insects in a colony doubles every month. At present there are 25 insects in the colony, about how many insects will there be in the colony after three months?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
See similar textbooks
icon
Related questions
Topic Video
Question
Solution: If an amount doubles, the rate of increase is 100% y = a (1 + r)' y = 1 (1 + 1)* y = 28 y = 256 Therefore, there are 256 bacteria after 8 minutes. Exercise Solve the following problems on exponential growth. 1. In 2002 the population of school children in a city was 90,000. This population increases at a rate of 2% each year. What will be the population of school children in year 2010? 2. Janine owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 8% annually, how many stores does the restaurant operate in 2007? 3. The number of insects in a colony doubles every month. At present there are 25 insects in the colony, about how many insects will there be in the colony after three months? GENERAL MATHEMATICS Week 7 – Day 2 To solve word problems involving exponential functions, equations and inequalities Objective Concept Notes Any quantity that decays by a fixed percent at regular intervals is said to possess exponential decay. The pattern can be represented by the function y = a (1 - r)t where: a= initial amount before measuring decay r = decay t = number of time intervals that have passed Example 1: A cellphone worth P12, 000 was bought three years ago. If it depreciates 5% per annum, how much does it cost now? Given: a = 12,000 r = 5% or 0.05 t = 3 years Solution: у 3а (1-г)" y = P12,000( 1- 0.05)3 у 3D Р 10, 288.50 After 3 years the cost of the cellphone will be P 10, 288.50. AI TRIPLEarAtM E:RAcay by half-life Half-life is the amount of time it takes for half of the amount of substance to Shot by d decay. Scientists and environmentalists worry about such substances beruze these 6 14:15 hazardous material continue to be dangerous for many years after their disposal. A radioactive element has a half-life of two weeks. How much of 1000-gram
Transcribed Image Text:Solution: If an amount doubles, the rate of increase is 100% y = a (1 + r)' y = 1 (1 + 1)* y = 28 y = 256 Therefore, there are 256 bacteria after 8 minutes. Exercise Solve the following problems on exponential growth. 1. In 2002 the population of school children in a city was 90,000. This population increases at a rate of 2% each year. What will be the population of school children in year 2010? 2. Janine owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 8% annually, how many stores does the restaurant operate in 2007? 3. The number of insects in a colony doubles every month. At present there are 25 insects in the colony, about how many insects will there be in the colony after three months? GENERAL MATHEMATICS Week 7 – Day 2 To solve word problems involving exponential functions, equations and inequalities Objective Concept Notes Any quantity that decays by a fixed percent at regular intervals is said to possess exponential decay. The pattern can be represented by the function y = a (1 - r)t where: a= initial amount before measuring decay r = decay t = number of time intervals that have passed Example 1: A cellphone worth P12, 000 was bought three years ago. If it depreciates 5% per annum, how much does it cost now? Given: a = 12,000 r = 5% or 0.05 t = 3 years Solution: у 3а (1-г)" y = P12,000( 1- 0.05)3 у 3D Р 10, 288.50 After 3 years the cost of the cellphone will be P 10, 288.50. AI TRIPLEarAtM E:RAcay by half-life Half-life is the amount of time it takes for half of the amount of substance to Shot by d decay. Scientists and environmentalists worry about such substances beruze these 6 14:15 hazardous material continue to be dangerous for many years after their disposal. A radioactive element has a half-life of two weeks. How much of 1000-gram
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON
SEE MORE TEXTBOOKS