In 2003 the United Nations estimated that the population of Ethiopia was about 70.7 million, with an annual growth rate of 2.9%. Assume that this rate of growth continues.

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A: The exponential growth model is defined as, y = a(1 + r)t, where a is the initial amount, r is the…

Q: Assume the revenue in the year 2000 was $ 800,000, and in the year 2002 it was $ 600,000. Assuming…

A: We will use exponential growth/decay formula to find expected revenue

Q: If a total number of infections of a viral disease was observed to be 48 in day 27 and 900 in day…

A: Since the growth is exponential , so it is of the form P(t)=P0ert where P(t) is the number of…

Q: The population of a Midwestern city decays exponentially. If the population decreased from 900,000…

A: To find - Population in 2008.

Q: 3. The population of the Philippines doubled from 1967 to 1997. Assuming the rate of population…

A:

Q: The population of the world in 1987 was 5 billion and the relative growth rate was estimated at 2…

A:

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A: Given ,  The population of the world in 1987 was 5 billion and the annual growth rate was estimated…

Q: A savings account has an initial balance of $1,000 and earns 3 percent interest compounded monthly.…

A:

Q: The population of the city is declining according to the exponential law. if the population went…

A: To find the population in 2022

Q: What nominal rate of interest, compounded monthly, corresponds to an  effective rate of 4.5% ?

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Assume that the world population grows at an exponential rate. Using this assumption with the fact…

A: Points (0,256), (10,304)

Q: If you need $20,000 in your bank account in 6 years, how much must be deposited now? The interest…

A:

Q: Pretend the world's population in 1989 was 4.7 billion and that the projection for 2012, assuming…

A: Use the below formula to find the annual growth rate.

Q: How long will it take an investment to double in value if a 9% continuously compounded interest rate…

A: Let investment = P  If amount double, A = 2P  Interest rate, r = 9% 9100=0.09 Using formula for…

Q: Suppose that $1000 is invested at a 10% interest rate compounded quarterly. b) How many years will…

A: Solution:Giveninvestmentment Amount=$1000     r=0.01To find (a) What will investment be worth after…

Q: An account now contains $3,670 and has been accumulating interest at 5% annual interest, compounded…

A: We have to find the amount in the account 5 years ago.

Q: A depositor places $10,000 in a certificate of deposit which pays 6% interest per annum, compounded…

A:

Q: What rate of interest compounded annually is required to double an investment in 3 years?

A: Consider the principal is "p". Then the amount is given as A=2P. The time is t=3 years. The…

Q: Use the exponential growth model to calculate the amount of money you will have in the bank after 12…

A: Let A be the amount of money in account after 12 years. Here, P=$31,000 , r=0.026 , t=12 years Then,…

Q: Write the formula of Exponential Growth?

A: The formula for exponential growth is given as: A=A01+rt, where A0 is the initial value  r is the…

Q: Suppose the value of a different stock that you own is decreasing. If the value of your stock has a…

A:

Q: In terms of relative growth rate, what is the defining property of exponential growth?

A: To explain the defining property of exponential growth in terms of relative growth rate.

Q: At what interest rate will money treble if compounded continuously for 18 years?

A:

Q: Complete the table below using the exponential growth formula. Original Growth Rate per Amount Year…

A: We can answer the question as below.

Q: If the population of a certain county was 100,000 in 1998 and 110,403 in 2008, and if the population…

A:

Q: If the population of a certain city was 100,000 in 1996 and 110,643 in 2006, and if the population…

A:

Q: Suppose that the town of Grayrock had a population of 10,000 in 2014 and a population of 12,000 in…

A: The exponential growth can be generalized as y=art where a represents the initial value, y…

Q: If real estate in a certain city appreciates at the yearly rate of 15% compounded continuously, when…

A: The question mentions that the value of the real estate in a certain city appreciates at a rate…

Q: Suppose the value of a different stock that you own is decreasing. If the value of your stock has a…

A:

Q: Pretend the world's population in 1989 was 4.3 billion and that the projection for 2014, assuming…

A:

Q: If the average yearly growth rate from 2000 to 2005 is 1.2%, estimate the percentage of college…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, for the…

Q: An investment has grown from $15,000 to $17,684.23 in 3 years, compounding monthly. What was the…

A: We have to calculate interest rate

Q: At what rate is the account growing?

A:

Q: Suppose a population of insects increases according to the law of exponential growth. There were 130…

A: Since the population increases by law of exponential growth.

Q: what rate of interest compounded annually is required to double an investment in 3 years?

A:

Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in li…

A: The solution is given below

Q: Complete the table below using the exponential growth formula. Original Growth Rate per Amount Year…

A: Follow the procedure given below.

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A:

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…

Q: Complete the table below using the exponential growth formula. Growth Rate per Number of Years, x…

A: The formula for the exponential growth is: P=P01+rt, where P is future amount, P0 initial amount, r…

Q: In 1998 the annual cost of attending a public college was $10,069, and the costs were climbing by 6%…

A:

Q: What annual interest rate compounded continuously is equivalent to 15% compounded quarterly?

A:

Q: How much is in an account after 10 years if $1000 is invested at an interest rate of 2.4%/year…

A: (a)Given:

Q: Annual M2 Growth, 1960-2008 14 12 Pereent 10 Avge6.94% 6.

A: The M2 measurement is critical to forecasting.

Q: A population is now 3000 and is growing exponentiallywith a growth constant of .02, what will be the…

A:

Q: A “Student Drug Use and Health Survey" of Ontario high school students found that the percentage of…

A: Let t=0 for 2013, t=1 for 2014, t=2 for 2015, t=3 for 2016, t=4 for 2017. Assuming the exponential…

Q: The median household income (adjusted for inflation) in Seattle grew from $42,500 in 1990 to $75,200…

A:

Q: The following data for economic growth and interest rate per year are given:

A: From the given information, the correlation coefficient between economic growth p.a. and interest…

Q: balance

A:

Q: A particular city had a population of 23,000 in 1910 and a population of 28,000 in 1950. Assuming…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.