A bird species in danger of extinction has a population that is decreasing exponentially (A = A0ekt). Five...

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  1. Abird species in danger of extinction has a population that isdecreasing exponentially (A = A0ekt).Five years ago, the population was at 1400 and today only 1000 ofthe birds are alive. Once the population drops below 100, hesituation will be irreversible. When will this happen?

  2. According to the U. S. Bureau of the Census, in 2000 there were35.3 million residents of Hispanic origin living in the UnitedStates. By 2010, the number had increased to 50.5 million. Theexponential growth function A = 35.3ektdescribes the U.S. Hispanic population, A, in millions, t yearsafter 2000.

a. Find k, correct to three decimals places.

b. Use the resulting model to project the Hispanic resident inpopulation in 2015.

c. In which year will the Hispanic resident population reach 70million?

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