A researcher predicts that the population of a certain city will double every 70 years. In 1946, the population was 1.8 million. Which equation models the population P(t), in millions, where t represents the number of years after 1946?

Q: Solve and show work. 2) The amount of hairs on Mr. Mahers head has been decreasing exponentially at…

A: Rate of decrement= 5.5% Initial number of hair = 110000 Let t being the number of years.

Q: A growing city had a population of 300,000 in 2003. In 2013 the population was 960,000. What is the…

A: Consider the following Population Growth Model, P=P0·ektHere,P=population at any year tP0=initial…

Q: function

A: We have to find the inverse of the given exponential function

Q: the population of a city p(t) is increasing exponentially.at time t=0 years the population is 35…

A: The population of a city p(t) is increasing exponentially. Let the exponential model be  pt=p0eat

Q: a certain strain of bacteria is placed in a petri dish as a part of an experiment.  The number of…

A: A certain strain of bacteria is placed in a petri dish as a part of an experiment.  The number of…

Q: Biologists stocked a lake with 200 fish and estimated the carrying capacity to be 6400. The number…

A: Let us denote few variables which will be used in the equation: P0: Population at time t=0(Initial…

Q: The population of the world in 1987 was 5 billion and the growth rate was estimated at 7 percent per…

A: we need to find the projected world population in 1999 =Population1987*(1+7%)^(1999−1987)

Q: The amount of money in an account grows exponentially according to the function A(t)=A0ekt. If the…

A:

Q: Do these equations represent exponential growth or exponential decay? y=4 ⋅ (1.13)x y=182 ⋅ (0.9)x

A: Given, function is y=41.13x. Find y values for x=1, x=2. For x=1, y=41.131=4.52 For x=2,…

Q: 1997, the population of a specific county in West Virginia was 100,000. By 2005, the population had…

A: Given query is to find exponential model.

Q: Solve. log 216 =x

A: Given,           log216=x

Q: 12. The population of a city is growing exponentially and can be modeled by the equation…

A:

Q: Describe the graph of the equation. r = 2 cos t i - 9 sin t j + k O An ellipse in the plane z = 1,…

A:

Q: The pollution level in a lake can be         represented by an exponential equation…

A: From the given information, it is observed that at the time t = 0 the population P is 12,238 and the…

Q: In 2013, the moose population in a park was measured to be 5,600. By 2017, the population was…

A: