The population P of a city grows exponentially according to the function P(t) = 8000(1.2) Osts...
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).
Suppose the population grows (in thousands) according to the following relationship, P=125e0.012t , where t is the number of years. Using logarithms, find the number of years t, it would take for the population P, to double, that is equal 250. Also comment on the meaning of the exponent
The population of a city is modeled by the equation P(t) = 218,884e0.25t where t is measured in years. If the city continues to grow at this rate, in approximately how many years will it take for the population to reach one million? (Round your answer to two decimal places.)
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: $...
A population of bacteria grows exponentially according to the table and graph below (a) Use the graph to complete the table. Hint: Some of the values are on the horizontal axis Type whole numbers in the boxes, and assume the pattern in the table continues t (days) Q (bacteria) 320 42 84 126 168 252 20 40 80 160 320 640 0 160 1280 80 40 20 42 84 126 168 (b) Report the doubling time. Use the pull-down menu...
A city has a population of 290,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 14 years? Use the calculator provided and round your answer to the nearest whole number. people x 6 ?
The population of a certain inner city is to be declining according for the madel P(t) = 446,00004 t is the number of years present What does the model fredict porulation will he in byears found to nearest person andha
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...
The city of Townsville had a population of 11,646 in the year 2010. Assuming that the population grows exponentially with a relative annual growth rate of 1.78%, find the population in the year 2,033. Round to the nearest whole number
ASAP please 3. Suppose the population grows (in thousands) according to the following relationship, P=125e9.012, where t is the number of years. Using logarithms, find the number of years t, it would take for the population P, to double, that is equal 250. Also comment on the meaning of the exponent.