In 2011, the population of Canada was about 34.34 million. For the years 2011 through 2021, the population is projected to grow at a rate of about 1.1% per year.(a) Find a formula for an exponential function that gives the population of Canada. (Let N be the population in millions and t be the number of year since 2011.)N(t) =(b) Express, using functional notation, the population of Canada in 2017.NOCalculate that value. (Round your answer to two decimal places.)million(c) Use the function you found in part (a) to predict when the population of Canada will reach 37.5 million. (Round your answer to two decimal places.)years after 2011

Given Data: Let us consider the given data, Population in 2011 =34.34 million. Growth rate r=1.1%.

Answered: In 2011, the population of Canada was…

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 effect of changing the growth rate variable, r, in an exponential function. If aninitial population Po grows at r% per year, the population in t years is given by thefunction P(b) - Pa(2) *2*. Suppose that a city has 400,000 people currently, and thepopulation is projected to grow at 1% annually for the next 30 years. Find thepopulation in 30 years. The growth rate has to be written as a decimal, notpercentage.)
(Depreciation). Table 2 gives the market value of a luxury sedan (in dollars) x years after its purchase. (Use 4 decimal places in all answers.) Table 2: Luxury Sedan's Value x Value ($) 1 23,125 2 19,050 3 15,625 4 11,875 5 9,450 6 7,125 A. What exponential equation, V(x) best fits the data, where x is the number of years after purchase and V(x) is value of the vehicle after x years?V(x) = B. What is r2?r2 = C. Use the equation to estimate the purchase price of the vehicle and the value of the vehicle after 10 years. (Round to the nearest cent.)The purchase price of the vehicle after 10 years will be $ .D. Use the equation to estimate how old a luxury sedan valued at $12,000 is. (Round to the nearest year.)The luxury sedan should be about years old.
The population in a city is increasing in accordance with exponential growthmodel. The population on year 2016 was 1000 and the population on year 2021 is 2000. What will be the population in year 2026?
The population, P, of raccoons in a region is modelled by the exponential relation P = Po(2)*/20 , where t is the time in years and Po is the initial population. If there are 300 raccoons in the region today, approximately how many raccoons will there be in six years?
A national census bureau predicts that a certain population will increase from 35.3 million in 2000 to 64.3 million in 2060. Complete parts (a) through (c) below. (a) Find an exponential function of the form f(t) = y₁b¹ for these data, in which t= 0 corresponds to 2000 and f(t) is in millions. f(t) (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.) (b) What is the projected population in 2030? In 2040? = In 2030, the population is projected to be (Round to one decimal place as needed.) million. million. In 2040, the population is projected to be (Round to one decimal place as needed.) (c) By experimenting with different values of t (or by using a graphing calculator to solve an appropriate equation), estimate the first full year in which the population will exceed 56 million. The first full year in which the population will exceed 56 million is
2) The value of a plot of land increases 5% every year. The value is $300,000 now, and the owner wants to sell it when the value is at least $400,000. Shanna writes an exponential function of the form, V (t) = a - &, to model the value, V, of the land in t years. The value of b is (A) 1.005 B 1.05 C) 1.5 and the domain is A 0

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