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9. The population of a small town in Montana in 1985 was found to be given...
11. The population of a small town in Montana in 1985 was found to be given...
11. The population of a small town in Montana in 1985 was found to be given by P=35,000e015+ where t is time measured from 1985. What was the population in the year 2000, and when will the population reach 60,000?
The rate of change of the population of a small town is dP/dt = kP
The rate of change of the population of a small town is dP/dt = kP, where P is the population, t is time in years and k is the growth rate. If P = 20000 when t = 3 and P = 30000 when t = 4, what is the population when t= 10? Round your answer to the nearest integer.
The population of a community was 12500 in 1985 and 36000 in 2000. Find the time...
The population of a community was 12500 in 1985 and 36000 in 2000. Find the time it takes the population of this town to double? B) how long will it take, to the nearest day, for 20 mg of iodine -131 to decay to 16.8 mg if the half -life of iodine -131 is 8.1 days?
A bakery in a small town has a supply curve for custom cakes that is given...
A bakery in a small town has a supply curve for custom cakes
that is given by the equation
The bakery faces a weekly demand curve for cakes given
by
where price is measured in dollars and quantity is measured per
cake.
a) Plot the supply and demand curves on a scale diagram.
b) What is the equilibrium market price the bakery will charge
and how many cakes will consumers buy?
c) How much is the consumer surplus?
d) What...
World Population The total world population is forecast to be P(t) = 0.00065+3 – 0.0717+2 +0.961...
World Population The total world population is forecast to be P(t) = 0.00065+3 – 0.0717+2 +0.961 + 6.04 (Osts 10) in year t, where t is measured in decades, with t = 0 corresponding to 2000 and P(t) is measured in billions. (a) World population is forecast to peak in what year? Hint: Use the quadratic formula. (Remember that t is in decades and not in years. Round your answer down to the nearest year.) (b) At what number will...
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 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...
3. (13 marks) The population of a small town was 20,000 on January 1st, 2010 and...
3. (13 marks) The population of a small town was 20,000 on January 1st, 2010 and has grown at a rate of about 2% per year since then. Next year, the local high school is closing and this is likely to affect the population of the town as people move away to towns with more schools. (a) Write down a model of the population of the town for the years 2010 to 2019. Carefully define any variables you use and...
12) (7 points) A-small town's population is expected to decrease 6% each year. There are currently...
12) (7 points) A-small town's population is expected to decrease 6% each year. There are currently 2750 people living in the town a) Find a function that models the town's population t years from now. b) How many years will it take the town's population to reach 6007 Round the answer to three decimal places. Show ALL steps.
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.)...
11. The population of a small town in Montana in 1985 was found to be given by P=35,000e015+ where t is time measured from 1985. What was the population in the year 2000, and when will the population reach 60,000?
A bakery in a small town has a supply curve for custom cakes
that is given by the equation
The bakery faces a weekly demand curve for cakes given
by
where price is measured in dollars and quantity is measured per
cake.
a) Plot the supply and demand curves on a scale diagram.
b) What is the equilibrium market price the bakery will charge
and how many cakes will consumers buy?
c) How much is the consumer surplus?
d) What...
World Population The total world population is forecast to be P(t) = 0.00065+3 – 0.0717+2 +0.961 + 6.04 (Osts 10) in year t, where t is measured in decades, with t = 0 corresponding to 2000 and P(t) is measured in billions. (a) World population is forecast to peak in what year? Hint: Use the quadratic formula. (Remember that t is in decades and not in years. Round your answer down to the nearest year.) (b) At what number will...
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. (13 marks) The population of a small town was 20,000 on January 1st, 2010 and has grown at a rate of about 2% per year since then. Next year, the local high school is closing and this is likely to affect the population of the town as people move away to towns with more schools. (a) Write down a model of the population of the town for the years 2010 to 2019. Carefully define any variables you use and...
12) (7 points) A-small town's population is expected to decrease 6% each year. There are currently 2750 people living in the town a) Find a function that models the town's population t years from now. b) How many years will it take the town's population to reach 6007 Round the answer to three decimal places. Show ALL steps.
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.)...
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