Each year 3% of people living in Tauranga move to Christchurch, and 4% of people in Christchurch move to Tauranga. If the populations of Christchurch and Tauranga are currently 381,891 and 131,258 people, respectively, what was the population of Christchurch last year (to the nearest individual)? You must use matrices to solve this question, as other methods may lead to premature rounding.

Each year 3% of people living in Tauranga move to Christchurch, and 4% of people in Christchurch move to Tauranga. If the populations of Christchurch and Tauranga are currently 381,891 and 131,258 people, respectively, what was the population of Christchurch last year (to the nearest individual)? You must use matrices to solve this question, as other methods may lead to premature rounding.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

The table shows the leading causes of death in a certain country in a recent year. The population of the country was 311311 million. If you lived in a typical city of 500,000, how many people would you expect to die of cancercancer each year? Cause Deaths Cause Deaths Heart disease 596 comma 700596,700 Alzheimer's disease 84 comma 90084,900 Cancer 575 comma 300575,300 Diabetes 73 comma 40073,400 Chronic respiratory diseases 143 comma 100143,100 Pneumonia/Influenza 53 comma 40053,400 Stroke 128 comma 600128,600 Kidney disease 45 comma 30045,300 Accidents 122 comma 500122,500 Suicide 38 comma 60038,600 About people would be expected to die of cancer each year. (Type a whole number. Round to the nearest person as needed.)
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 23% of your total grade, each major test is worth 21%, and the final exam is worth 35%. Compute the weighted average for the following scores: 95 on the lab, 67 on the first major test, 72 on the second major test, and 76 on the final exam.
3. Suppose you find yourself in this situation. One time you want to buy a light bulb.There are three brands of light bulbs that you know. Knowing that the longer the lightbulb lasts, the more you save. Your experience of buying the different brands of light isthe basis. The data are as follows: BRAND K: The light bulb lasted for 4.5 months, 3.5 months, 5.5 months, 2.5 months,6,5 months, 2 months, and 7 months.Brand A: The light bulb lasted for 4.5 months, 3.5 months, 5.5 months, 2.5 months, 6.5months, 2 months, 7months, 4.5 months and 4.5 months. BRAND J: The light bulb lasted for 4.5 months, 3.5 months, 5.5 months, 2.5 months, 6.5months, 2months, 7 months, 8 months and 1 month.If the light bulbs have the same price, which brand of light will you buy? Justify youranswer by using the statistical measures. Tabulate your solutions.
You are helping to plan a clinical trial of a vaccine, and want to be able to detect rare serious side effects. Suppose a particular serious symptom occurs in 1 of every 40000 people in the general population, and you want to be able to detect if the vaccine increases its frequency by a factor of 4 (i.e. so that it occurs in vaccinated people with a frequency of 4 in 40000). How big does your clinical trial need to be, to detect such an increase, with 95% confidence? (Again, show how you get the answer)
In a biology class, the final grade is based on several things: a lab score, scores on two major tests, and score on the final exam. There are 100 points available for each score. However, the lab score is worth 25% of the total grade, each major test is worth 22.5%, and the final exam is worth 30%. Compute the weighted average for the following scores: 92 on the lab, 81 on the first major test, 93 on the second major test, and 85 on the final exa
Suppose that {v1, v2,..., vn} is an orthonormal set in Rn with the standard inner product. Let the matrix A be given by A = v1 v2 ··· vn . Show that A is non- singular and compute its inverse. Give three different ex- amples of such a matrix in R2 or R3.
A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s) Annual Revenue ($ millions)11.5 118 10.0 135 9.0 100 5.5 37 3.3 32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677 Total 4 8925.2 Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…
Thank you!
In a national survey of 500 business and 500 leisure travelers, each was asked where they would most like "more space." Leisure Business Business Leisure Leisure Business On Airplane Hotel Room All Other Leisure 356 (a) Express the table as percentages of the total. (Give your answers correct to one decimal place.) Business 250 On Airplane % % % % 99 157 % % Hotel Room (b) Express the table as percentages of the row totals. (Give your answers correct to one decimal place.) On Airplane 45 Hotel Room 93 Hotel Room % % % % All Other (c) Express the table as percentages of the column totals. (Give your answers correct to one decimal place.) On Airplane % % All Other % % All Other % % % %
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 21% of your total grade, each major test is worth 20.5%, and the final exam is worth 38%. Compute the weighted average for the following scores: 88 on the lab, 86 on the first major test, 97 on the second major test, and 84 on the final exam
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 17% of your total grade, each major test is worth 23%, and the final exam is worth 37%. Compute the weighted average for the following scores: 75 on the lab, 70 on the first major test, 95 on the second major test, and 63 on the final exam. Enter your answer as a whole number.