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Solution:
We have,
let t be the number of years after 1970 when the population becomes 2.54 million,
The year will be 
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5. An approximate formula for the population (P, in millions) of the state of Kansas since...
3. Using the population model for Kansas, A = 2.9e0.006, where A is the population in...
3. Using the population model for Kansas, A = 2.9e0.006, where A is the population in millions and t is years after 2015, in what year will the population to reach 4 million? Round final answer to 4 decimal places if necessary. You must show ALL work!
The formula A = 242e00787 models the population of a US state, A. in milions, tyears...
The formula A = 242e00787 models the population of a US state, A. in milions, tyears after 2000. a. What was the population of the state in 2000? b. When will the population of the state reach 31.4 million? a. In 2000, the population of the state was million. b. The population of the state will reach 31.4 million in the year (Round down to the nearest year.) Enter your answer in each of the answer boxes Type here to...
The population P of Texas6 (in millions) from 2001 to 2010 can be approximated by the...
The population P of Texas6 (in millions) from 2001 to 2010 can be approximated by the model p=20.871e^0.0188t , where t is the year, with t=1 corresponding to 2001. According to the model, where year will the population reach 30 million? To find answer, do you have to use interpolation or exterpolation?
A-PCs :)" The formula AP14 describes the accumulated value. A of a sum of money. P...
A-PCs :)" The formula AP14 describes the accumulated value. A of a sum of money. P the principal, after tyears at annual percentage rater (in decimal form) compounded n times a year. Complete the table for a savings account subject to n compounding periods per year Amount Number of Annual Interest Accumulated Timet Invested Compounding Periods Rate Amount in Years $11500 6.75% $72 000 years (Do not round until the final answer. Then round to one decimal place as needed)...
In 2,006, the population of Hungary was approximated by the function P(t) = 9.906(0.997) where Pis...
In 2,006, the population of Hungary was approximated by the function P(t) = 9.906(0.997) where Pis in millions and t is in years since 2,006. What does this model predict for the population of Hungary in the year 2,025? NOTE: Convert your answer to millions of people and round correct (e.g. 3,257,456.85 would round to 3,257,456) 9,356,357 QUESTION 2 How fast does the model predict Hungary's population will be changing from 2,008 to 2,0227 NOTE: Multiply your answer by 1,000,000...
12- 9- Population (millions) 6- 12. Watch the video and then solve the problem given below....
12- 9- Population (millions) 6- 12. Watch the video and then solve the problem given below. Projected 2000: Click here to watch the video." 6,390,000 a. In 2000, the population of a country was approximately 6.39 million and by 2060 it is projected to grow to 11 million. Use the exponential growth model 1950 1970 1990 2010 2030 2050 Year A= Ag ekt, in which t is the number of years after 2000 and Ais in millions, to find an...
(4 points) A population, P(t) (in millions) in year t, increases exponentially. Suppose P(7) = 20...
(4 points) A population, P(t) (in millions) in year t, increases exponentially. Suppose P(7) = 20 and P(15) = 27. a) Find a formula for the population in the form P(t) = ab. Enter the values you found for a and b in your formula in the blanks below. Round your values to 4 decimal places. a = b= b_ b) If P(t) = aekt , what is the value of k in your formula. k = (round to 4...
If t is in years since 1990, one model for the population of the world, P,...
If t is in years since 1990, one model for the population of the world, P, in billions is P 42 1 +9e-0.071 a) What does this model predict for the maximum population of the world? P= billion. b) According to this model, when will the earth's population reach 21 billion? Round to an integer. The year
The population of a city is modeled by the equation P(t) = 218,884e0.25t where t is...
The population of a city is modeled by the equation P(t) = 218,884e0.25t where t is measured in years. If the city continues to grow at this rate, in approximately how many years will it take for the population to reach one million? (Round your answer to two decimal places.)
The population P of a city grows exponentially according to the function P(t) = 8000(1.2) Osts...
The population P of a city grows exponentially according to the function P(t) = 8000(1.2) Osts where t is measured in years. (a) Find the population at time <= 0 and at time <= 2. (Round your answers to the nearest whole number.) PCO) P(2) - (b) When, to the nearest year, will the population reach 16,000? yr
3. Using the population model for Kansas, A = 2.9e0.006, where A is the population in millions and t is years after 2015, in what year will the population to reach 4 million? Round final answer to 4 decimal places if necessary. You must show ALL work!
The formula A = 242e00787 models the population of a US state, A. in milions, tyears after 2000. a. What was the population of the state in 2000? b. When will the population of the state reach 31.4 million? a. In 2000, the population of the state was million. b. The population of the state will reach 31.4 million in the year (Round down to the nearest year.) Enter your answer in each of the answer boxes Type here to...
A-PCs :)" The formula AP14 describes the accumulated value. A of a sum of money. P the principal, after tyears at annual percentage rater (in decimal form) compounded n times a year. Complete the table for a savings account subject to n compounding periods per year Amount Number of Annual Interest Accumulated Timet Invested Compounding Periods Rate Amount in Years $11500 6.75% $72 000 years (Do not round until the final answer. Then round to one decimal place as needed)...
In 2,006, the population of Hungary was approximated by the function P(t) = 9.906(0.997) where Pis in millions and t is in years since 2,006. What does this model predict for the population of Hungary in the year 2,025? NOTE: Convert your answer to millions of people and round correct (e.g. 3,257,456.85 would round to 3,257,456) 9,356,357 QUESTION 2 How fast does the model predict Hungary's population will be changing from 2,008 to 2,0227 NOTE: Multiply your answer by 1,000,000...
12- 9- Population (millions) 6- 12. Watch the video and then solve the problem given below. Projected 2000: Click here to watch the video." 6,390,000 a. In 2000, the population of a country was approximately 6.39 million and by 2060 it is projected to grow to 11 million. Use the exponential growth model 1950 1970 1990 2010 2030 2050 Year A= Ag ekt, in which t is the number of years after 2000 and Ais in millions, to find an...
(4 points) A population, P(t) (in millions) in year t, increases exponentially. Suppose P(7) = 20 and P(15) = 27. a) Find a formula for the population in the form P(t) = ab. Enter the values you found for a and b in your formula in the blanks below. Round your values to 4 decimal places. a = b= b_ b) If P(t) = aekt , what is the value of k in your formula. k = (round to 4...
If t is in years since 1990, one model for the population of the world, P, in billions is P 42 1 +9e-0.071 a) What does this model predict for the maximum population of the world? P= billion. b) According to this model, when will the earth's population reach 21 billion? Round to an integer. The year
The population P of a city grows exponentially according to the function P(t) = 8000(1.2) Osts where t is measured in years. (a) Find the population at time <= 0 and at time <= 2. (Round your answers to the nearest whole number.) PCO) P(2) - (b) When, to the nearest year, will the population reach 16,000? yr
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