4. The population of the world is expected to double in the next 30 yr. What is its growth rate?

Q: 10. Engr. Igup invested P200 000 in a savin gs account with interest rate of 4% compounded…

A:

Q: Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100 mg…

A:

Q: 38. What rate of interest compounded continuously will yield an effective interest rate of 6%?

A: We know that, if an amount P is invested at rate r for time t, compounded continuously yields amount…

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

A:

Q: The model for continuous (exponential) growth/decay is given by y = cekt, where c is the initial…

A: c=$13,100  ,  t=12  &  k=-9%=-0.09   Negaitive sign represents the depreciation

Q: Use an annual growth rate of 0.9 percent in a 10 year period for a certain population to find the…

A: Given data: The given growth rate is r=0.9%=0.009. The population in the year 2000 is P0=3.0…

Q: 4. Determine the growth constant, k, of a population that is growing at a rate proportional to its…

A: let p=population at time t so we can write  to remove the proportionality sign we need to multiply…

Q: 8. A population of ducks grew from 420 to 8000 in 6 years. If the population growth is linear, what…

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: A survey estimates the current average cost of college to be $33,245per year.   ​(a) If the average…

A:

Q: Use an annual growth rate of 1.1​% in a 10 year period for a certain population to find the…

A: Given Annual growth rate=1.1% Population in year 2000=6.0 billion

Q: 9) The growth rate of the demand for oil in the US is 10% per year. In what year will the demand be…

A: We have to find the time required for demand to be double that of 2006.

Q: Determine the equivalent effective rate of a money compounded continuously at r=5%.

A:

Q: 4.A radioactive substance loses 3% of its substance every 5 years. What is the half-life of this…

A:

Q: Find the exponential growth equation for a population that doubles in size every unit of time and…

A: Given: At time, t=0, No. of individuals=20.

Q: 5) Suppose you bought a used car for $18,000 a few years ago, and its value has been decreasing at…

A: Consider the number of years as x and the value of car as y. The worth of the car is $18,000 and it…

Q: (3) If the Nigerian population was 65 million in 1950 and 85 million in 1970, what will the popu-…

A:

Q: 8) A bacterial culture has an initial population of 10,000. If its population declines to 3000 in 8…

A: Exponential model of population is given by,     P(t) = Po * e^(kt).

Q: Suppose a new mosquito-borne virus has emerged and has caused 550 cases to- date. The number of…

A: A = A0(e-kt)  Where , k = Rate , t = time

Q: 7. A radioactive material decays at a rate proportional to its amount. If the material has a…

A:

Q: 1. The amount of a certain medicine in the bloodstream decays exponentially with a half- life of 5…

A: Here, given that the amount of certain medicine in the bloodstream decays exponentially with a…

Q: explain this.  How long will it take Dio who has an investment  of $200 at 4% interest compounded…

A: Given:

Q: An investment decreases by 50% over a period of 12 years. At what effective annual interest rate…

A: Given information An investment decreases by 50% over the period of 12 years Here t=12 years We have…

Q: The population of Japan is decreasing at a rate of about .26% per year. Construct an exponential…

A: Let, The initial population of Japan at t=0 = Po Rate of decreasing = 0.26%

Q: Suppose y = cekæ is an exponential function that has the points (3.1,4.8) and (14.3,16.6) on its…

A:

Q: How long will it take for 1000 to decay to 500 with a loss of 3% a year (approximate historical…

A: Given : Initial value = 1000 Final value = 500 Loss is 3% per year Apply the exponential decay…

Q: 7. At what interest rate compounded continuously must money be invested in order to triple in 10…

A: We know that  P=Aert where A= Principal value r=rate  and t=time

Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: We have to find the growth rate.

Q: 9. If you invest $2500 at 2.8% compounded continuously how much will you have at the end of 10…

A:

Q: 4. Communicate Precisely How are exponential growth functions similar to exponential decay…

A: Similarities: Exponential growth and decay equations is an mathematical equations that involves…

Q: If the population of a country is 100 million people and the population is increasing exponentially…

A:

Q: Suppose a country has a population of 50 million and projects a growth rate of 3% per year for the…

A: To determine the population of this country be in 6 years.

Q: 1. In parts of the United States, wolves are being reintroduced to wilderness areas where they had…

A: Given Data: Starting number of wolves=20 yearly growth factor=1.2

Q: 16) How long, to the nearest year, will it take an investment to triple if it is continuously…

A:

Q: 3. There are currently 300 bacteria in a petri dish. There will be 2052 bacteria in 33 minutes. What…

A:

Q: Suppose a country has a population of 40 million and projects a growth rate of 5% per year for the…

A: Given country has a population of 40 million and projects a growth rate of 5% per year for the next…

Q: A population with a growth rate equal to zero is

A: The nature of the pop. of a particular area to increase with respect to time is defined as…

Q: 1. The population of a certain country has grown at a rate proportional to the number of people in…

A:

Q: 11) Suppose that $6500 is invested at 4% for 3 years. Find the total amount present at the end of 3…

A:

Q: What is the law of exponential change? How can it be derived from an initial value problem? What are…

A: To define the law of exponential change and derive it from initial value problem.

Q: A certain breed of rabbit was introduced onto a small island about 15 years ago. The current rabbit…

A:

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

A:

Q: Suppose a variable is growing continuously at a nominal rate of 10% per year. What is the effective…

A:

Q: Suppose a country has a population of 20 million and projects a growth rate of 4% per year for the…

A:

Q: Suppose a country has a population of 50 million and projects a growth rate of 3% per year for the…

A: Given query is to find the population of the country after 11 years.

Q: How long does it take an investment to triple at an annual interest rate of 6.45% compounded…

A:

Q: Find the Present Value of an investment that achieved $1,000,000 in 30 years at 6% interest…

A:

Q: Suppose you deposit 3 000 at a 6% interest compounded continuously. What will the Average value of…

A: Given Deposit =$3000 Interest=6% Compounded continuouslyA=Pert

Q: Assume a quantity decreases by 5.1% in 7.5 hours.What is the half-life of the substance?

A: Given:A quantity decreases by 5.1% in 7.5 hours.

Q: 3. Radioactive carbon-14 fossil decays at a rate proportional to its amount present and has a…

A:

Q: If during a certain time, the price of gold tripled every 4 years (approximately). What was the…

A: Given  The price of gold tripled every 4 years The growth formula :- A=P1+rt Where  , t = time in…