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Question Details The population of a town grows at a rate proportional to the population present...
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...
6. A bacteria culture grows at a rate proportional to its size. The initial population of...
6. A bacteria culture grows at a rate proportional to its size. The initial population of the bacteria culture is 300 cells, and after 3 hours the population increases to 2400. (a) Find an expression for the number of bacteria after t hours. (b) When will the population reach 20000?
&7 4. A population P grows at a constant rate of a organisms per unit time, and the death rate is proportional...
&7 4. A population P grows at a constant rate of a organisms per unit time, and the death rate is proportional to the population size with the proportionality constant k. A. Assume the initial population P(0) Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The answe terms Po, a, k and a constant C.) wer must contain the...
A certain microbe, growing at a rate proportional to its size, doubles its population every 10...
A certain microbe, growing at a rate proportional to its size, doubles its population every 10 hours. After 13 hours the total population has mass 560 grams. What was the initial mass? (Round your answer to 3 decimal places.) initial mass = grams Submit Answer Tries 0/3
in otheca 9. Suppose the function PC)=10,000041 predicts the future population of a certain town. The...
in otheca 9. Suppose the function PC)=10,000041 predicts the future population of a certain town. The variablet represents the number of years from now (2010). For instance, t=5 represents the year 2015. Predict how fast the town will be growing in the year 2020. Round to the nearest whole number. Support
3. The population of bacteria in a culture decreases at a rate proportional to the number...
3. The population of bacteria in a culture decreases at a rate proportional to the number of bacteria present at any time t. The initial population is 500 and the population decreases 10% in 1 hour. Determine the half-life of the population of bacteria. How long does it take for the population to be 10? (8 marks ).
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 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
The rate of growth dP/dt of a population of bacteria is proportional to the square root of t with a constant coefficient of 8
The rate of growth dP/dt of a population of bacteria is proportional to the square root of t with a constant coefficient of 8, where P is the population size and t is the time in days (0≤ t ≤ 10). The initial size of the population is 200. Approximate the population after 7 days. Round the answer to the nearest integer.
- A population grows at a rate P' (t) = 300t e where P(t) is the...
- A population grows at a rate P' (t) = 300t e where P(t) is the population after t months. a. Find a formula for the population size after t months, given that the population is 3000 at t=0. b. Use the answer from part a to find the size of the population after 7 months. a. Find a formula for the population size after t months, given that the population is 3000 at t=0. P(t) = (Type an exact...
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...
6. A bacteria culture grows at a rate proportional to its size. The initial population of the bacteria culture is 300 cells, and after 3 hours the population increases to 2400. (a) Find an expression for the number of bacteria after t hours. (b) When will the population reach 20000?
&7 4. A population P grows at a constant rate of a organisms per unit time, and the death rate is proportional to the population size with the proportionality constant k. A. Assume the initial population P(0) Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The answe terms Po, a, k and a constant C.) wer must contain the...
A certain microbe, growing at a rate proportional to its size, doubles its population every 10 hours. After 13 hours the total population has mass 560 grams. What was the initial mass? (Round your answer to 3 decimal places.) initial mass = grams Submit Answer Tries 0/3
in otheca 9. Suppose the function PC)=10,000041 predicts the future population of a certain town. The variablet represents the number of years from now (2010). For instance, t=5 represents the year 2015. Predict how fast the town will be growing in the year 2020. Round to the nearest whole number. Support
3. The population of bacteria in a culture decreases at a rate proportional to the number of bacteria present at any time t. The initial population is 500 and the population decreases 10% in 1 hour. Determine the half-life of the population of bacteria. How long does it take for the population to be 10? (8 marks ).
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 grows at a rate P' (t) = 300t e where P(t) is the population after t months. a. Find a formula for the population size after t months, given that the population is 3000 at t=0. b. Use the answer from part a to find the size of the population after 7 months. a. Find a formula for the population size after t months, given that the population is 3000 at t=0. P(t) = (Type an exact...
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