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Let P = f(t) = 850(1.057)* be the population of a community in year t. (a)...
(1 point) Let P = f( = 1150(1.059)' be the population of a community in year...
(1 point) Let P = f( = 1150(1.059)' be the population of a community in year 1. (a) Evaluate f(0) = (b) Evaluate f(10) = (retain at least 3 decimal places) (c) Which of these statements correctly explains the practical meaning of the value you found for f(10) in part (b)? (select all that apply if more the is correct) A. How many years it takes for the population to reach 10,000 people. B. The growth rate per decade of...
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 t years, the population of a certain city grows from 500,000 to a size P...
In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000 + 8000+?. dP a) Find the growth rate dt b) Find the population after 10 yr. c) Find the growth rate at t= 10. d) Explain the meaning of the answer to part (c).
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: $...
At the beginning of 1950 the population of a city was 3100 thousand people. Due to...
At the beginning of 1950 the population of a city was 3100 thousand people. Due to tax incentives the city's population increased exponentially by 23% every decade (10 years) after the beginning of 1950. What is the 1-decade (or 10-year) growth factor for the population of the city? Define a function ff that determines the population of the city (in thousands of people) in terms of the number of decades dd since the beginning of 1950. f(d)= What is...
*10. The size P of a certain insect population at time t (in days) obeys the...
*10. The size P of a certain insect population at time t (in days) obeys the function P(t) = 100 e 0.04 (a) Determine the number of insects at t=0 days. (b) What is the growth rate of the insect population? (c) What is the population after 10 days? (d) When will the insect population reach 140? (e) When will the insect population double? (a) What is the number of insects at t= 0 days? insects (b) What is the...
0.08t The size P of a certain insect population at time t (in days) obeys the...
0.08t The size P of a certain insect population at time t (in days) obeys the function P(t)- 600 e (a) Determine the number of insects at t-0 days. (b) What is the growth rate of the insect population? (c) What is the population after 10 days? (d) When will the insect population reach 960? (e) When will the insect population double?
A population in a community has a constant growth of 100 people per year. If now...
A population in a community has a constant growth of 100 people per year. If now the population is 10,000 and the that average water consumption is 100 liters per capita per day, Determine the maximum daily demand 10 years from now. Express answer in m3/day rounded up to whole number.
21² + 6 Ay The population, P, in thousands of a resort community is given 100...
21² + 6 Ay The population, P, in thousands of a resort community is given 100 600t by P(t) = t20, where t is time, in months. 80-A a) Find the population at t= 0, 1, 3, and 8 months. .60 b) Find the horizontal asymptote of the graph and determine the 401 value that P(t) approaches as t goes to co? c) Explain the meaning of the answer to part (b) in terms of the 20- application 0 10...
MORE PRACTICE PROBLEMS 1. A population of Drosophila mauritiana every generation, and generations OCCU 1.000, and...
MORE PRACTICE PROBLEMS 1. A population of Drosophila mauritiana every generation, and generations OCCU 1.000, and its population growth rate is 3.0 per generaron of Drosophila mauritiana reproduces in synchrony at discrete time periods on, and generations occur at two-week intervals. The current population size is a. What kind of growth is this Geometric or exponentials b. What equation should you use? Net - (Ni c. What will the expected size of the population be after six weeks 9. For...
(1 point) Let P = f( = 1150(1.059)' be the population of a community in year 1. (a) Evaluate f(0) = (b) Evaluate f(10) = (retain at least 3 decimal places) (c) Which of these statements correctly explains the practical meaning of the value you found for f(10) in part (b)? (select all that apply if more the is correct) A. How many years it takes for the population to reach 10,000 people. B. The growth rate per decade of...
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 t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000 + 8000+?. dP a) Find the growth rate dt b) Find the population after 10 yr. c) Find the growth rate at t= 10. d) Explain the meaning of the answer to part (c).
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: $...
*10. The size P of a certain insect population at time t (in days) obeys the function P(t) = 100 e 0.04 (a) Determine the number of insects at t=0 days. (b) What is the growth rate of the insect population? (c) What is the population after 10 days? (d) When will the insect population reach 140? (e) When will the insect population double? (a) What is the number of insects at t= 0 days? insects (b) What is the...
0.08t The size P of a certain insect population at time t (in days) obeys the function P(t)- 600 e (a) Determine the number of insects at t-0 days. (b) What is the growth rate of the insect population? (c) What is the population after 10 days? (d) When will the insect population reach 960? (e) When will the insect population double?
21² + 6 Ay The population, P, in thousands of a resort community is given 100 600t by P(t) = t20, where t is time, in months. 80-A a) Find the population at t= 0, 1, 3, and 8 months. .60 b) Find the horizontal asymptote of the graph and determine the 401 value that P(t) approaches as t goes to co? c) Explain the meaning of the answer to part (b) in terms of the 20- application 0 10...
MORE PRACTICE PROBLEMS 1. A population of Drosophila mauritiana every generation, and generations OCCU 1.000, and its population growth rate is 3.0 per generaron of Drosophila mauritiana reproduces in synchrony at discrete time periods on, and generations occur at two-week intervals. The current population size is a. What kind of growth is this Geometric or exponentials b. What equation should you use? Net - (Ni c. What will the expected size of the population be after six weeks 9. For...
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