Question

In 2013?, the estimated world population was 7.1 billion. Use a doubling time of 61 years to predict the population in 2021?, 2056? and 2120.

Answer #1

The population of the world was about 5.3 billion in 1990 (t =
0) and about 6.1 billion in 2000 (t = 10). Assuming that the
carrying capacity for the world population is 50 billion, the
logistic differential equation
dP =kP(50−P)dt
models the population of the world P(t) (measured in billions),
where t is the number of years after 1990. Solve this differential
equation for P(t) and use this solution to predict what the
population will be in 2050 according...

Q1In May 2020, the world population was 7.8 billion and was
growing at a rate of 1.08 percent. Project what the world
population would be in 2025, 2050, and 20100 at this constant
growth rate.
Type all work and your final answers here.
Question 1-2: Given a 2011 population of 7 billion and a 2020
population of 7.8 billion, calculate the average annual growth rate
over that 9-year period.
Type all work and your final answer here.
Question 1-3: At...

The population of the world in 1975 was 15 billion and the
relative growth rate was estimated at 0.15 percent per year.
Assuming that the world population follows an exponential growth
model, find the projected world population in 2018.

The population of the world in 1990 was 50 billion and the
relative growth rate was estimated at 0.5 percent per year.
Assuming that the world population follows an exponential growth
model, find the projected world population in 2018.

Complete the following table.
Population
Growth Rate, k
Doubling Time, T
Country A
2.4
%
per year
Country B
24
years
Population
Growth Rate, k
Doubling Time, T
Country A
2.4
%
per year
nothing
years
Country B
nothing
%
per year
24
years

Assume the world population will continue to grow exponentially
with a growth constant k=0.0132k=0.0132 (corresponding to a
doubling time of about 52 years),
it takes 1212 acre of land to supply food for one person, and
there are 13,500,000 square miles of arable land in in the
world.
How long will it be before the world reaches the maximum
population? Note: There were 6.06 billion people in the year 2000
and 1 square mile is 640 acres.
Answer: The maximum...

Part A) Solve one of the four world population problems and
explain your process using the following: The growth of the world
population can be described by the equation A=A0ert where t is
measured in years, A0 is the population of the world at the time t
= 0, and r is the annual growth rate, and A is the population at
time t. 1) In 1960, the world population was about three billion
people and the growth rate was...

A useful concept in mathematical growth models is that of the
doubling time, defined as the time required for an initial value (
i.e population) to double
Derive a general expression that can be used to find the
doubling time , t2x , for a given exponential growth
rate , r.
Use this expression to find the growth rate that will cause a
population to double in 10 years
It has been proposed to increase the average fuel economy of...

1) a) The fox population in a certain region experiences
exponential growth with a relative growth rate of 8% a year. In
2013, it was estimated that the population was 18, 000. (a) Find a
function that models the population t years after 2013. (b) Use the
function above to estimate the fox population in the year 2021. (c)
After how many years will the fox population reach 25, 000?
b) Two observers simultaneously measure the angle of elevation of...

Machinery purchased for $68,400 by Metlock Co. in 2013 was
originally estimated to have a life of 8 years with a salvage value
of $4,560 at the end of that time. Depreciation has been entered
for 5 years on this basis. In 2018, it is determined that the total
estimated life should be 10 years with a salvage value of $5,130 at
the end of that time. Assume straight-line depreciation.
Prepare the entry to correct the prior year's depreciation, if...

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