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in otheca 9. Suppose the function PC)=10,000041 predicts the future population of a certain town. The...
A city’s population has been growing exponentially over the past several years. In 2010, the population...
A city’s population has been growing exponentially over the past several years. In 2010, the population was 130,000 people. In the year 2016, it was 160,000 people. Express the population as a function of the number of years since 2010, using the general form ?? = ?? ? ????. What is the predicted population in the year 2020? Round your answer to the nearest whole number.
This exercise uses the population growth model. The fox population in a certain region has a...
This exercise uses the population growth model. The fox population in a certain region has a relative growth rate of 5% per year. It is estimated that the population in 2013 was 16,000. (a) Find a function n(t) = n0ert that models the population t years after 2013. n(t) = (b) Use the function from part (a) to estimate the fox population in the year 2020. (Round your answer to the nearest whole number.) (c) After how many years will...
From 1993 to 1997 a town with a population of 35,000 grew to 38,700. (a) Find the percent increase in the population from 1993 to 1997. Note, this is a relative rate. Using the information from p...
From 1993 to 1997 a town with a population of 35,000 grew to 38,700. (a) Find the percent increase in the population from 1993 to 1997. Note, this is a relative rate. Using the information from part (a) find a function that models the population t years after 1 (b) (c) Estimate the population in 2015, and predict the year when the population will be 80,000.
From 1993 to 1997 a town with a population of 35,000 grew to 38,700....
In the year 2000, the population of a certain country was 276 million with an estimated growth rate of 0.5% per year a. Based on these figures, find the doubling time and project the population in 21...
In the year 2000, the population of a certain country was 276 million with an estimated growth rate of 0.5% per year a. Based on these figures, find the doubling time and project the population in 2120 b Suppose the actual growth rates are ust 0.2 percentage points lower and higher than 0.5% per year 0.3% and 0.7%). What are the resulting doubling times and projected 2120 population? a. Let y(t) be the population of the country, in millions, t...
In the year 2000, the population of a certain country was 278 million with an estimated...
In the year 2000, the population of a certain country was 278 million with an estimated growth rate of 0.5% per year. Based on these figures, find the doubling time and project the population in 2100. Let y(t) be the population of the country, in millions, t years after the year 2000. Give the exponential growth function for this country's population. y(t) = 1 (Use integers or decimals for any numbers in the expression. Round to four decimal places as...
The number of houses in a town has been growing according to the recursive rule Pn = Pn-1 + 34, where N is the number o...
The number of houses in a town has been growing according to the recursive rule Pn = Pn-1 + 34, where N is the number of years after 2010. In 2010, there were Po = 200 houses in this town. (a) Calculate P1 and P2. P1 = P2 = (b) Find an explicit formula for Pn. Note: Webwork is case-sensitive here, so if you use the variable N in your answer you must keep it capitalized. Pn = (c) Use...
Select any country worldwide and search out its population and growth rate in 2010. Then use...
Select any country worldwide and search out its population and growth rate in 2010. Then use the equation bellow to predict the countries population in 2020, 2030, 2040, 2050, and 2060. Please show your work. You may construct a table similar to the one below to demonstrate your answers. (Note: You may choose any set of 5 ten year increments if you have difficulty finding 2010 data.) Use N=N0ekt N = The population in the year you are trying to...
The population of a community is known to increase at a rate proportional to the number...
The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P. has doubled in 5 years. Suppose it is known that the population is 11,000 after 3 years. What was the initial population Po? (Round your answer to one decimal place.) Po= What will be the population in 10 years? (Round your answer to the nearest person.) persons How fast is the population growing at...
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...
A population numbers 14,000 organisms initially and grows by 8.8% each year. Suppose P represents population,...
A population numbers 14,000 organisms initially and grows by 8.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a.b' where P = If 24500 dollars is invested at an interest rate of 10 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent. (a) Annual: $...
From 1993 to 1997 a town with a population of 35,000 grew to 38,700. (a) Find the percent increase in the population from 1993 to 1997. Note, this is a relative rate. Using the information from part (a) find a function that models the population t years after 1 (b) (c) Estimate the population in 2015, and predict the year when the population will be 80,000.
From 1993 to 1997 a town with a population of 35,000 grew to 38,700....
In the year 2000, the population of a certain country was 276 million with an estimated growth rate of 0.5% per year a. Based on these figures, find the doubling time and project the population in 2120 b Suppose the actual growth rates are ust 0.2 percentage points lower and higher than 0.5% per year 0.3% and 0.7%). What are the resulting doubling times and projected 2120 population? a. Let y(t) be the population of the country, in millions, t...
In the year 2000, the population of a certain country was 278 million with an estimated growth rate of 0.5% per year. Based on these figures, find the doubling time and project the population in 2100. Let y(t) be the population of the country, in millions, t years after the year 2000. Give the exponential growth function for this country's population. y(t) = 1 (Use integers or decimals for any numbers in the expression. Round to four decimal places as...
The number of houses in a town has been growing according to the recursive rule Pn = Pn-1 + 34, where N is the number of years after 2010. In 2010, there were Po = 200 houses in this town. (a) Calculate P1 and P2. P1 = P2 = (b) Find an explicit formula for Pn. Note: Webwork is case-sensitive here, so if you use the variable N in your answer you must keep it capitalized. Pn = (c) Use...
The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P. has doubled in 5 years. Suppose it is known that the population is 11,000 after 3 years. What was the initial population Po? (Round your answer to one decimal place.) Po= What will be the population in 10 years? (Round your answer to the nearest person.) persons How fast is the population growing at...
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...
A population numbers 14,000 organisms initially and grows by 8.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a.b' where P = If 24500 dollars is invested at an interest rate of 10 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent. (a) Annual: $...
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