Please answer all parts with explanations otherwise skip The exponential function fix) = 543(1.032)" models the population of a country, fx), in millions, x years after 1972. Complete parts (a) - (0).a. Substitute 0 for x and, without using a calculator, find the country's population in 1972.The country's population in 1972 wasO million.b. Substitute 22 for x and uso your calculator to find the country's population, to the nearest million, in the year 1994 as modeled by thie functionThe country's population in 1994 was million,c. Find the country's population, to the nearest million, in the year 2016 as predicted by this function.The country's population in 2016 will be Omillon.d. Find the country's population, to the nearest millon, in the year 2038 as predicted by this function.The country's population in 2038 wili be millione. What appears to be happening to the country's population every 22 years?OA tappears that the population is decreasing by a factor of every 22 yoars.O 8. There does not appear to be a pattern,Oc. It appears that the population is growing by a factor of 2 every 22 yoars.OD. It appears that the population is growing by a factor of 3 every 22 years.

Given that, Function of population is, f(x) = 543(1.032)x Where x is in years after 1972. We have to…

The exponential function f(x) = 543(1.032)* modeis the population of a country, fox), in millions, x years after 1972. Complete parts (a) - (0). a. Substitute O for x and, without using a calculator, find the country's population in 1972. The country's population in 1972 wasmillion. b. Substitute 22 for x and uso your calculator to find the country's population, to the nearest million, in the year 1994 as modeled by thie function. The country's population in 1904 wasmillon. c. Find the country's population, to the nearest milion, In the year 2016 as predicted by this function. The country's population in 2016 wil bemillion. d. Find the country's population, to the nearest million, in the year 2038 as predicted by this function. The country's population in 2038 wil be million, e. What appears to be happening to the country's population every 22 years? OA Happears that the population is decreasing by a factor of every 22 years. O8. There does not appear to be a pattern, Oc. It appears that the population is growing by a factor of 2 every 22 years. OD, It appears that the population is growing by a factor of 3 every 22 years.

The exponential function f(x) = 543(1.032)* modeis the population of a country, fox), in millions, x years after 1972. Complete parts (a) - (0). a. Substitute O for x and, without using a calculator, find the country's population in 1972. The country's population in 1972 wasmillion. b. Substitute 22 for x and uso your calculator to find the country's population, to the nearest million, in the year 1994 as modeled by thie function. The country's population in 1904 wasmillon. c. Find the country's population, to the nearest milion, In the year 2016 as predicted by this function. The country's population in 2016 wil bemillion. d. Find the country's population, to the nearest million, in the year 2038 as predicted by this function. The country's population in 2038 wil be million, e. What appears to be happening to the country's population every 22 years? OA Happears that the population is decreasing by a factor of every 22 years. O8. There does not appear to be a pattern, Oc. It appears that the population is growing by a factor of 2 every 22 years. OD, It appears that the population is growing by a factor of 3 every 22 years.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 11T: Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the...

See similar textbooks

Similar questions

On the day a grandchild is born, a grandparent deposits $2500 in a fund earning 7.5% interest, compounded continuously. Determine the balance in the account on the grandchild’s 25th birthday.
A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days, thesample has decayed to 80 grams. Rounding to fivesignificant digits, write an exponential equationrepresenting this situation. To the nearest day, whatis the half-life of this substance?
With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?
With what kind of exponential model would half-life be associated? What role does half-life play in these models?
An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
Given a formula for an exponential function, is itpossible to determine whether the function grows ordecays exponentiallyjust by looking at the formula?Explain.
Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the formula for the amount in the account after t years if interest is compounded monthly. (b)Find the amount in the after 3 years if interest is compounded daily. (c)How long will it take for the amount in the account to grow to $20,000 if interest iscompounded continuously?
Use log21=0,log22=1, and log24=2 to estimate log23.
What happens to an exponential function as the values of x decreases? Will the graph ever cross the y -axis? Explain.