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(1 point) Let P = f( = 1150(1.059)' be the population of a community in year...
Let P = f(t) = 850(1.057)* be the population of a community in year t. (a)...
Let P = f(t) = 850(1.057)* be the population of a community in year t. (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 than one is correct) A. What the population will be in 10 years. B. The growth rate per decade of the population. C. How long...
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...
(1 point) Steadia is an island which experienced approximately linear population growth from 1950 to 2000....
(1 point) Steadia is an island which experienced approximately linear population growth from 1950 to 2000. On the other hand, Randomian has experienced some turmoil more recently and did not experience linear nor near-linear growth 1950 1960 1970 1980 1990 2000 Year Pop. of country A 6.9 8.6 10.2 11.9 13.9 15.7 Pop. of country B 8.7 10.9 13.5 15.3 14.7 22.6 a) The table above gives the population of these two countries, in millions. Does country A or country...
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...
Hello please assist me with this question. 1. Let the function f be defined by y...
Hello please assist me with this question. 1. Let the function f be defined by y = f(x), where x and f(x) are real numbers. Find f(2), f(−7), f(k), and f(k2 − 1). f(x) = 3 x − 5 2. Evaluate the expression. P(12, 2) · C(12, 2) 3. Find an equation in standard form of the parabola described. Vertex (8, 3); focus at (8, 10) 4. The population of Eagle River is growing exponentially according to the model P(t)...
(1 point) P of a population P(t) is given in the figure above. By approximately P(t)...
(1 point) P of a population P(t) is given in the figure above. By approximately P(t) A graph of the relative growth rate what percentage does the population change over the 9 year period? Answer: %. Clarification: As in Example 1 on page 290 of your textbook, first find factor by which the population has increased, i.e., K = P(9)/P(0), or equivalently, P(9) = Р(9) — Р(0) —D КР(0) KP(0). Then the amount of the increase itself is P(0) (K...
1. Suppose the graph below represents the population of minke whales where is the stock of...
1. Suppose the graph below represents the population of minke whales where is the stock of whale population at time t, and F(X) is the net biological growth (births - natural death) in the population. (For those of you that are mathematically curious, the general logistic growth function is represent by a function of the form: F(X.) = gx:(1-)) Growth in Whale Populatuin (F(Xt)) o a. Minke Whale Population (tons) On the graph above mark the point that represents the...
Population growth problems BIDE model: No.1 N, +(B + 1) - ( D Rates: b =...
Population growth problems BIDE model: No.1 N, +(B + 1) - ( D Rates: b = B/N; d = D/N: E) Net growth rate: R = b-d Exponential growth (discrete): N, NR* where R = 1+b-d Intrinsic rate of increase: r = InR Exponential growth (continuous): N:Noe -or-dN/dt = IN Logistic growth 1. Suppose a species of fish in a lake is modeled by a logistic population model with relative growth rate ofr 0.3 per year and carrying capacity of...
Question 14 of 1 point) Merpret the ylaplumea nu s e The percentage of the adult...
Question 14 of 1 point) Merpret the ylaplumea nu s e The percentage of the adult population that smokes can be modeled by the function P(x) whose graph is shown below. The input x is years after 1955. $ $ $ 5 -100 10 0 10 20 30 40 50 In what years was the percentage of nonsmokers between 65 and 75? This corresponds to the years from
Suppose that the population of a species of fish (in thousands) is modeled by f(?) =...
Suppose that the population of a species of fish (in thousands) is modeled by f(?) = x+10/0.5x2+1, where x ≥ 0 is in years. a. Sketch a graph of the function on the interval [0,12] x [0,12]. Label and scale your axes. b. What is the horizontal asymptote? c. What is the significance of the horizontal asymptote? d. What is the initial population of fish? e. What is the population of fish after 5 years? f. When is the population...
Let P = f(t) = 850(1.057)* be the population of a community in year t. (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 than one is correct) A. What the population will be in 10 years. B. The growth rate per decade of the population. C. How long...
(1 point) Steadia is an island which experienced approximately linear population growth from 1950 to 2000. On the other hand, Randomian has experienced some turmoil more recently and did not experience linear nor near-linear growth 1950 1960 1970 1980 1990 2000 Year Pop. of country A 6.9 8.6 10.2 11.9 13.9 15.7 Pop. of country B 8.7 10.9 13.5 15.3 14.7 22.6 a) The table above gives the population of these two countries, in millions. Does country A or country...
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...
(1 point) P of a population P(t) is given in the figure above. By approximately P(t) A graph of the relative growth rate what percentage does the population change over the 9 year period? Answer: %. Clarification: As in Example 1 on page 290 of your textbook, first find factor by which the population has increased, i.e., K = P(9)/P(0), or equivalently, P(9) = Р(9) — Р(0) —D КР(0) KP(0). Then the amount of the increase itself is P(0) (K...
1. Suppose the graph below represents the population of minke whales where is the stock of whale population at time t, and F(X) is the net biological growth (births - natural death) in the population. (For those of you that are mathematically curious, the general logistic growth function is represent by a function of the form: F(X.) = gx:(1-)) Growth in Whale Populatuin (F(Xt)) o a. Minke Whale Population (tons) On the graph above mark the point that represents the...
Population growth problems BIDE model: No.1 N, +(B + 1) - ( D Rates: b = B/N; d = D/N: E) Net growth rate: R = b-d Exponential growth (discrete): N, NR* where R = 1+b-d Intrinsic rate of increase: r = InR Exponential growth (continuous): N:Noe -or-dN/dt = IN Logistic growth 1. Suppose a species of fish in a lake is modeled by a logistic population model with relative growth rate ofr 0.3 per year and carrying capacity of...
Question 14 of 1 point) Merpret the ylaplumea nu s e The percentage of the adult population that smokes can be modeled by the function P(x) whose graph is shown below. The input x is years after 1955. $ $ $ 5 -100 10 0 10 20 30 40 50 In what years was the percentage of nonsmokers between 65 and 75? This corresponds to the years from
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