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.)
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The population of a city is modeled by the equation
P(t) =
218,884e0.25t where
t is...
1. Does the equation y = 2.291e−0.658t represent continuous growth, continuous decay, or neither? Explain. a)The...
1. Does the equation y = 2.291e−0.658t represent continuous growth, continuous decay, or neither? Explain. a)The equation represents continuous growth because the growth rate r is negative. b) The equation represents continuous decay because the growth rate r is negative. c) The equation represents continuous decay because the growth rate r is positive. d) The equation represents continuous growth because the growth rate r is positive. e) The equation represents neither continuous growth nor continuous decay because the equation is...
/2.5 points SCalcET6 94.003.ML ly Notes The Pacific halibut fishery has been modeled by the differential equation where y(t) is the biomass (the total mass of the members of the population) in kil...
/2.5 points SCalcET6 94.003.ML ly Notes The Pacific halibut fishery has been modeled by the differential equation where y(t) is the biomass (the total mass of the members of the population) in kilograms at time t (measured in years), the carrying capacity is estimated to be K-6X107 kg, and k-0.76 per year. (a) If y(0) 2x107 kg, find the biomass a year later. (Round your answer to two decimal places.) x107 kg (b) How long will it take for the...
A small take is stocked with a certain species of fish. The fish population is modeled...
A small take is stocked with a certain species of fish. The fish population is modeled by the function P- 14 1+ 4e -0.80 where P is the number of fish in thousands and t is measured in years since the lake was stocked. (6) Find the fish population after 3 years. (Round your answer to the nearest whole fish) fish (1) After how many years will the fish population reach 7000 fish? (Round your answer to two decimal places.)...
A small lake is stocked with a certain species of fish. The fish population is modeled...
A small lake is stocked with a certain species of fish. The fish population is modeled by the function P = 12 1 + 4e−0.4t where P is the number of fish in thousands and t is measured in years since the lake was stocked. (a) Find the fish population after 4 years. (Round your answer to the nearest whole fish.) fish (b) After how many years will the fish population reach 6000 fish? (Round your answer to two decimal...
The population of Mexico between 1921 and 2010 can be modeled as p(t) = 8.028e0.025t million...
The population of Mexico between 1921 and 2010 can be modeled as p(t) = 8.028e0.025t million people where t is the number of years since 1900.† (a) What was the population of Mexico in 2006? (Round your answer to three decimal places.) How rapidly was the population of Mexico growing in 2006? (Round your answer to three decimal places. (b) Write a linearization of p in 2006. (Round all numerical values to three decimal places.) pL(t) = (c) Use the...
the population P (in thousands) of a certain city from 2000 through 2008 can be modeled...
the
population P (in thousands) of a certain city from 2000 through
2008 can be modeled by
p=280.84e^kt
where t is the year with t=0
corresponding to 2000.
in 2006 the population was about 360,000.
(a) finf the value of k for the model. round your result to
four decimal places
(b) use your model to predict the population in 2015(round
your answer to the nearest person
p=??
16. 1/2 points Previous Answers LarATRMRP7 4.5.0183/30 Submissions Used My Note Corplete...
In 2012, the population of a city was 5.82 million. The exponential growth rate was 2.28%...
In 2012, the population of a city was 5.82 million. The exponential growth rate was 2.28% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 8 million? d) Find the doubling time. a) The exponential growth function is P(t) = , where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation...
Suppose a population is growing according to the logistic formula N = 510/1+3e^-0.41t where t is ...
Suppose a population is growing according to the logistic formula N = 510/1+3e^-0.41t where t is measured in years. (a) Suppose that today there are 250 individuals in the population. Find a new logistic formula for the population using the same K and r values as the formula above but with initial value 250. (Round equation parameters to two decimal places.) (b) How long does it take the population to grow from 250 to 360 using the formula in part...
1) Please write clearly. In 2012, the population of a city was 5.97 million. The exponential...
1) Please write clearly.
In 2012, the population of a city was 5.97 million. The exponential growth rate was 1.66% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 10 million? d) Find the doubling time. a) The exponential growth function is P(t) = 1, where t is in terms of the number of years since 2012 and P(t) is the population in...
2. Continuous compound interest can be calculated using the formula A(t) = Perl, where P is...
2. Continuous compound interest can be calculated using the formula A(t) = Perl, where P is the initial amount and At) is the value after time t at interest rater (as a decimal). (a) When Angela was born, her grandparents deposited $5,000 into a college savings account paying 6% interest compounded continuously. What is the balance after 15 years? Round your answer to two decimal places. (b) If her grandparents want her to have $15,000 after 17 years, how much...
/2.5 points SCalcET6 94.003.ML ly Notes The Pacific halibut fishery has been modeled by the differential equation where y(t) is the biomass (the total mass of the members of the population) in kilograms at time t (measured in years), the carrying capacity is estimated to be K-6X107 kg, and k-0.76 per year. (a) If y(0) 2x107 kg, find the biomass a year later. (Round your answer to two decimal places.) x107 kg (b) How long will it take for the...
A small take is stocked with a certain species of fish. The fish population is modeled by the function P- 14 1+ 4e -0.80 where P is the number of fish in thousands and t is measured in years since the lake was stocked. (6) Find the fish population after 3 years. (Round your answer to the nearest whole fish) fish (1) After how many years will the fish population reach 7000 fish? (Round your answer to two decimal places.)...
the
population P (in thousands) of a certain city from 2000 through
2008 can be modeled by
p=280.84e^kt
where t is the year with t=0
corresponding to 2000.
in 2006 the population was about 360,000.
(a) finf the value of k for the model. round your result to
four decimal places
(b) use your model to predict the population in 2015(round
your answer to the nearest person
p=??
16. 1/2 points Previous Answers LarATRMRP7 4.5.0183/30 Submissions Used My Note Corplete...
In 2012, the population of a city was 5.82 million. The exponential growth rate was 2.28% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 8 million? d) Find the doubling time. a) The exponential growth function is P(t) = , where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation...
1) Please write clearly.
In 2012, the population of a city was 5.97 million. The exponential growth rate was 1.66% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 10 million? d) Find the doubling time. a) The exponential growth function is P(t) = 1, where t is in terms of the number of years since 2012 and P(t) is the population in...
2. Continuous compound interest can be calculated using the formula A(t) = Perl, where P is the initial amount and At) is the value after time t at interest rater (as a decimal). (a) When Angela was born, her grandparents deposited $5,000 into a college savings account paying 6% interest compounded continuously. What is the balance after 15 years? Round your answer to two decimal places. (b) If her grandparents want her to have $15,000 after 17 years, how much...
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