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3. Suppose the population grows (in thousands) according to the following relationship, P=125e9.012, where...
Suppose the population grows (in thousands) according to the following relationship, P=125e0.012t , where t is...
Suppose the population grows (in thousands) according to the following relationship, P=125e0.012t , where t is the number of years. Using logarithms, find the number of years t, it would take for the population P, to double, that is equal 250. Also comment on the meaning of the exponent
1. Solve the following simultaneous equations (i) graphically and (ii) using the elimination method. (a) ...
1. Solve the following simultaneous equations (i) graphically and (ii) using the elimination method. (a) 2x + 3y = 12.5 (y on the vertical axis) (b) 4P – 3Q = 3 (p on the vertical axis) -x +2y =6 P +2Q = 20 2. Suppose the demand and supply of a good are given as P = 80 – 2Q and P=20 + 4Q (a) Calculate the equilibrium price and quantity, algebraically. (b) Suppose a per...
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
A population numbers 17,000 organisms initially and grows by 1.1% each year. Suppose P represents population,...
A population numbers 17,000 organisms initially and grows by 1.1% 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: 6 where P=
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...
Suppose that a population of hacteria grows according to the logistic differential equation dP =0.01P-0.0002P2 dt...
Suppose that a population of hacteria grows according to the logistic differential equation dP =0.01P-0.0002P2 dt where Pis the population measured in thousands and t is time measured in days. Logistic growth differential equations are often quite difficult to solve. Instead, you will analyze its direction field to acquire infom ation about the solutions to this differential equation. a) Calculate the maximum population M that the sumounding environment can austain. (Note this is also calked the "canying capacity"). Hint: Rewrite...
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: $...
POPULATION MODELS: PLEASE ANSWSER ASAP: ALL 3 AND WILL RATE U ASAP. The logistic growth model...
POPULATION MODELS: PLEASE
ANSWSER ASAP: ALL 3 AND WILL RATE U ASAP.
The logistic growth model describes population growth when
resources are constrained. It
is an extension to the exponential growth model that includes an
additional term introducing
the carrying capacity of the habitat.
The differential equation for this model is:
dP/dt=kP(t)(1-P(t)/M)
Where P(t) is the population (or population density) at time t,
k > 0 is a growth constant,
and M is the carrying capacity of the habitat. This...
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...
(a) After 2010 population and housing census, the birth rate in Ghana increased dramatically. Suppose that...
(a) After 2010 population and housing census, the birth rate in Ghana increased dramatically. Suppose that the number of babies born (in thousands per year) was given by b(t) = 5 + 2t,0sts 10, Where t is time in years after the end of the 2010 census. How many babies in total were born during this time period (.e. In the first 10 years after the 2010 population and housing census)? 7Marks (1) Find the time T such that the...
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
A population numbers 17,000 organisms initially and grows by 1.1% 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: 6 where P=
Suppose that a population of hacteria grows according to the logistic differential equation dP =0.01P-0.0002P2 dt where Pis the population measured in thousands and t is time measured in days. Logistic growth differential equations are often quite difficult to solve. Instead, you will analyze its direction field to acquire infom ation about the solutions to this differential equation. a) Calculate the maximum population M that the sumounding environment can austain. (Note this is also calked the "canying capacity"). Hint: Rewrite...
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: $...
POPULATION MODELS: PLEASE
ANSWSER ASAP: ALL 3 AND WILL RATE U ASAP.
The logistic growth model describes population growth when
resources are constrained. It
is an extension to the exponential growth model that includes an
additional term introducing
the carrying capacity of the habitat.
The differential equation for this model is:
dP/dt=kP(t)(1-P(t)/M)
Where P(t) is the population (or population density) at time t,
k > 0 is a growth constant,
and M is the carrying capacity of the habitat. This...
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...
(a) After 2010 population and housing census, the birth rate in Ghana increased dramatically. Suppose that the number of babies born (in thousands per year) was given by b(t) = 5 + 2t,0sts 10, Where t is time in years after the end of the 2010 census. How many babies in total were born during this time period (.e. In the first 10 years after the 2010 population and housing census)? 7Marks (1) Find the time T such that the...
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