The population of St. Petersburg, Florida (in thousands) can be approximated by the function, where x 70 corresponds to 1970. (Round each answerto the nearest whole number.)g(x)=-127.9+81.91 In(r), (x270)(a) Estimate the population in 1981.x thousand118,000Estimate the population in 1988.131,000 x thousand(b) If this model remains accurate, in what year will the population be 261,000?1983

(a) (i) We have to Estimate the population in 1981. (ii) We have to Estimate the population in…

Answered: The population of St. Petersburg,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The graph to the right shows the number of students enrolled in schools for selected years from 2000 through 2008 for country A. The data shown can be modeled by the function f(x) = 15x+320, where f(x) represents the number of students enrolled in schools, in thousands, x years after 2000. Use this information to solve a and b. %3D
A house painter has found that the number of job that he has each year is decreasing with respect to the number of years he has been in business. The number of jobs he has each year can be modeled as 104.35 jobs j(x) = X where x is the number of years since 2004. The painter has kept records of the average amount he was paid for each job. His income per job is presented in the table. Average Income per Job Year 2004 2005 2006 2007 2008 2009 2010 Income (dollars) 430 559 727 945 1228 1597 2075 (a) Fill in the blanks to complete an exponential model for average income per job, p, with input x aligned to years since 2004. (Remember to paste the unrounded function model into your calculator before reporting the answer with all numerical values rounded to three decimal places.) p(x) = dollars per job gives the average amount the painter was paid per job x years since 2004✓ ✔ . 0≤x≤6 (b) The equation for the painter's annual income is t(x) = [j(x)p(x) ✔ dollars. (c) Using the unrounded…
Please help with number 42 and 43.
The population of Maple Valley, WA in 2000 was 14558, and it grew to 22544 in 2010. a. If t = 0 represents the year 2000, write the population of Maple Valley in the form P(t) = Poe. Round k to 4 decimals. Po PRER k = b. In 2018, the population of Maple Valley, WA was 27,114. Did the population continue to grow at the same rate as your function in (a)? If not, did the population increase at a lower rate or higher rate than your above function? The population of Maple Valley increased at: O A. a lower rate B. the same rate OC. a higher rate Answers Answer Cookies help us deliver our services. By using our services, you agree to our use of cookies. Learn more OK Show all 25 8:30 PM 11/17/2020 ASLS
An athlete signs a contract saying that they will earn $8.3 million with an increase of 4.8% each year of the 5 year contract. The athletes salary (in million dollars) on the xth year is given by f (x) = 8.3(1.048)* The athletes salary on the 3rd year of the contract is $ million dollars. (Give your answer to one decimal place)
An investment appreciates 2% per year. Originally $5000 is invested. What is an equation to model this where F is the value of the investment and t is the years that passes. OF = 5000(0.98)t F = 500(1.02)t OF = 5000(-0.02)t OF = 5000(0.02)t
The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x) = 1.8208e-3387, where x = 0 corresponds to 1998. In what year did/will the exports reach $11.1 billion? Give your answer as the year, with at least one decimal place Question Help: Video Submit Question
The volume, QQ, of a sound is inversely proportional to the square of the distance nn, in meters, from the source of the sound. A sound is heard at 7272 decibels at a distance of 1010 meters from its source. Write a formula for QQ as a function of nn, including finding the value of any unknown constants.
The price, p, of a specific used car that is x years old is given by the following formula. p(x)=19937(0.86)x (a) How much does a 3-year-old car cost? (b) How much does a 9-year-old car cost? (a) A 3-year-old car costs $_____. (Round to two decimal places as needed.) (b) A 9-year-old car costs$_______. (Round to two decimal places as needed.)
Suppose a rumor is spreading that the government plans to give each college student $1000. Asssume that 20 people have heard the rumor as of today and that each day the number of people (past and present) who have heard it triples. Let f(t) be the number of people (past and present) who have heard the rumor at t days since today. a. Find an equation of f. b. How many people (past and present) will have heard the rumor 10 days from now? c. How many people (past and present) will have heard the rumor 15 days from now? Has model breakdown occurred? [Hint: Assume that the population is 112 million.] a. Find an equation of f. f(t) = ¹ b. How many people (past and present) will have heard the rumor 10 days from now? people c. How many people (past and present) will have heard the rumor 15 days from now? people Has model breakdown occurred? A. Model breakdown has occurred because the value for f(15) is greater than the population. B. Model breakdown has not occurred because the value for…
The function A = Age -0.00693x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 400 pounds of the material are placed in the vault, how much time will need to pass for only 115 pounds to remain? Round to nearest whole number. O A. 190 years O B. 360 years O C. 185 years O D. 180 years
Jack invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of his investment after x years: f(x) = 300(1.02)* What was the average rate of change of the value of Jack's investment from the third year to the fifth year? 6.43 dollars per year 8.24 dollars per year 12.86 dollars per year 14.26 dollars per year

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