A report tells us that in 2009 there were 870 gray wolves in Idaho, but that the population declined by 19% that year. For purposes of this problem we assume that this 19% annual rate of decrease continues. (a) Find an exponential model that gives the wolf population W as a function of the time t in years since 2009. W =        (b) It is expected that the wolf population cannot recover if there are fewer than 50 individuals. How long must this rate of decline continue for the wolf population to reach 50? (Round your answer to two decimal places.)  yr

Q: Recall, the continuous exponential growth or decay model is A(t)=A0ekt, where A0=A(0) is the initial…

A:

Q: 1. Suppose a population of rabbits starts with 30 rabbits. 60 days later, the population is 120…

A:

Q: Use this information to find both a linear model and an exponential model for Amazon.com's annual…

A: (a) To find a linear model, we can use the formula for a line:  where y represents the annual…

Q: I have submitted this question 3 times, and am still not getting the right answer, please help.…

A: Given : The population of a certain species of frog grows 15.1% every year , r = 15.1% Therefore,…

Q: A species of beetles grows 35% every year. Suppose 100 beetles are released into a field. Construct…

A:

Q: The table shows the age-adjusted death rates per 100,000 citizens for heart disease in a certain…

A:

Q: 5. The number of users on a social networking site was 45 thousand in February when they officially…

A: Concept to be used:An exponential model can be written in the form f(x)=abx, where a is the initial…

Q: A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population…

A: Given that : A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the…

Q: An article on cancer treatment contains the following statement: A 37% 5-year survival rate for…

A:

Q: In 2003, 182 deer were introduced into a wildlife refuge area from which the population had…

A:

Q: Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18%…

A: Given information:  Cockroach population decrease by 18% in 12 years.…

Q: An extremely large flywheel in a generator is rotating at 1980 revolutions per minute at full power.…

A: Initial power of flywheel No=1980 rev/min After 8 minutes,N=1564 rev/min

Q: A report tells us that in 2019 there were 800 of a certain type of animal in an area, but that the…

A: Question :  A report tells us that in 2019 there were 800 of a certain type of animal in an area,…

Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.