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Suppose that the equation N = 500(0.05)0.7€ represents the number of employees working t years after...
Suppose that the number y of otters t years after otters were reintroduced into a wild...
Suppose that the number y of otters t years after otters were reintroduced into a wild and scenic river is given by the formula below. y = 2500 - 2490e -0.10 (a) Find the population when the otters were reintroduced (at t = 0). otters (b) How long will it be before the otter population numbers 1800? (Round your answer to one decimal place.) yr
Suppose the following graph represents the number of bacteria in a culture t hours after the...
Suppose the following graph represents the number of bacteria in a culture t hours after the start of an experiment. a. At approximately what time is the instantaneous growth rate the greatest, for Osts 36? Estimate the growth rate at this time b. At approximately what time in the interval Osts 36 is the instantaneous growth rate the least? Estimate the instantaneous growth rate at this time. c. What is the average growth rate over the interval 0 st 36?...
Suppose the following graph represents the number of bacteria in a culture t hours after the...
Suppose the following graph represents the number of bacteria in a culture t hours after the start of an experiment. a. At approximately what time is the instantaneous growth rate the greatest, for (StS 36? Estimate the growth rate at this time. b. At approximately what time in the interval Osts 36 is the instantaneous growth rate the least? Estimate the instantaneous growth rate at this time. c. What is the average growth rate over the interval Osts 36? a....
The half-life of cesium-137 is 30 years. Suppose we have a 18-gram sample. (a) Find the...
The half-life of cesium-137 is 30 years. Suppose we have a 18-gram sample. (a) Find the yearly growth factor a. (Round your answer to five decimal places.) a = (b) Find an exponential model m(t) = Cat for the mass remaining after t years. m(t) = (c) How much of the sample will remain after 85 years? (Round your answer to two decimal places.) g (d) After how long will only 3 g of the sample remain? (Round your answer...
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: $...
Suppose that t months after a stimulus program begins, there are N(t) thousand people unemployed, where...
Suppose that t months after a stimulus program begins, there are N(t) thousand people unemployed, where N(t) = -t3 + 45t2 + 405t + 3174 During a recession, the Ministry of Ecomonics decides to stimulate the economy by providing funds to hire unemployed workers for infrastructure projects. To avoid inducing inflation, a decision is made stimulus program as soon as the rate at which the rate of unemployment begins to decline. At this time of this decline, how many people...
The number of years N(r) since two independently evolving languages split off from a common ancestral...
The number of years N(r) since two independently evolving languages split off from a common ancestral language is approximated by N(t) = -5000 in wherer is the proportion of the words from the ancestral language that are common to both languages now. a. N(0.9) = (Round to the nearest tens place.) b. N(0.4) = (Round to the nearest hundreds place.) c. N(0.3) = (Round to the nearest thousands place.) d. How many years have elapsed since the split if 80%...
7. (7 pts) The number N() of bacteria in a culture is growing exponentially. When t=0...
7. (7 pts) The number N() of bacteria in a culture is growing exponentially. When t=0 hours, Nt) = 5000 bacteria, and when 1 = 5 hours, N(O) = 30,000 bacteria. W a. Find the growth rate k. (Round to four decimal places.) In solamyes Isinoshorts non 11001nix on bald #7a: b. Write the function () that represents the number of bacteria after hours. #7b: c. After how many hours will the number of bacteria be 100,000? Round to the...
The equation N(t) = 1100 1 + 195e−0.625t models the number of people in a school...
The equation N(t) = 1100 1 + 195e−0.625t models the number of people in a school who have heard a rumor after t days. To the nearest tenth, how many days will it be before the rumor spreads to half the carrying capacity?
This exercise uses the population growth model. The fox population in a certain region has a...
This exercise uses the population growth model. The fox population in a certain region has a relative growth rate of 5% per year. It is estimated that the population in 2013 was 16,000. (a) Find a function n(t) = n0ert that models the population t years after 2013. n(t) = (b) Use the function from part (a) to estimate the fox population in the year 2020. (Round your answer to the nearest whole number.) (c) After how many years will...
Suppose that the number y of otters t years after otters were reintroduced into a wild and scenic river is given by the formula below. y = 2500 - 2490e -0.10 (a) Find the population when the otters were reintroduced (at t = 0). otters (b) How long will it be before the otter population numbers 1800? (Round your answer to one decimal place.) yr
Suppose the following graph represents the number of bacteria in a culture t hours after the start of an experiment. a. At approximately what time is the instantaneous growth rate the greatest, for Osts 36? Estimate the growth rate at this time b. At approximately what time in the interval Osts 36 is the instantaneous growth rate the least? Estimate the instantaneous growth rate at this time. c. What is the average growth rate over the interval 0 st 36?...
Suppose the following graph represents the number of bacteria in a culture t hours after the start of an experiment. a. At approximately what time is the instantaneous growth rate the greatest, for (StS 36? Estimate the growth rate at this time. b. At approximately what time in the interval Osts 36 is the instantaneous growth rate the least? Estimate the instantaneous growth rate at this time. c. What is the average growth rate over the interval Osts 36? a....
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: $...
The number of years N(r) since two independently evolving languages split off from a common ancestral language is approximated by N(t) = -5000 in wherer is the proportion of the words from the ancestral language that are common to both languages now. a. N(0.9) = (Round to the nearest tens place.) b. N(0.4) = (Round to the nearest hundreds place.) c. N(0.3) = (Round to the nearest thousands place.) d. How many years have elapsed since the split if 80%...
7. (7 pts) The number N() of bacteria in a culture is growing exponentially. When t=0 hours, Nt) = 5000 bacteria, and when 1 = 5 hours, N(O) = 30,000 bacteria. W a. Find the growth rate k. (Round to four decimal places.) In solamyes Isinoshorts non 11001nix on bald #7a: b. Write the function () that represents the number of bacteria after hours. #7b: c. After how many hours will the number of bacteria be 100,000? Round to the...
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