8. In 1950, the world population was 2560 million people. In 1960, the population was 3040 million people. Assume that world population grows in constant relative propor- tion (a) What is the relative growth rate, k? (b) Use the model to predict the population in 2020.
Want to see the full answer?
Check out a sample Q&A here
Related Calculus Q&A
Find answers to questions asked by students like you.
Q: In March 1976 the world population reached 4 billion. At that time, a popular news magazine…
A: Click to see the answer
Q: A material has an initial of 15 units. Which equation models the amount of the material y, decaying…
A: Click to see the answer
Q: 8. Determine the half-life of the substance if an initial 150mg has decayed to 50mg in a an of 20…
A: Given query is to find half life and the time when 95% amount decayed.
Q: 2. For a period of time, an island's population grows at a rate proportional to its population. If…
A: Let A0 be the initial population and k be the growth rate.A0 = 1174k = 6.5% = 0.065
Q: Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5…
A: Click to see the answer
Q: Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5…
A: Solution
Q: 1) For a period of time, an island's population grows at a rate proportional to its population. If…
A: Click to see the answer
Q: A radioactive substance decays at a rate proportional to the amount present ( y(t) = yoe-rt ) If 40%…
A: let the amount of radioactive material be x, and Given that…
Q: A certain bacteria culture is observed to double its amount after two hours it was initially…
A: Let's assum initial bacteria = n Rate of growth ∝ current amount after 2 hours number of bacteria =…
Q: A certain bacteria culture is observed to double its amount after two hours it was initially…
A: Let say population is P. So population at time 't' is given by P(t). Assume initial population is P0…
Q: A bacterial population B is known to have a rate of growth proportional to B itself. If between noon…
A: We will use the exponential growth equation of bacteria .
Q: The number of bacteria in a certain population increases according to a continuous exponential…
A: Click to see the answer
Q: A certain population of bacteria grows such that its rate of change is always proportional to the…
A: Click to see the answer
Q: Five rodents in a population of 500 are infected with a new strain of corona virus to test a theory…
A: Click to see the answer
Q: Five rodents in a population of 500 are infected with a new strain of corona virus to test a theory…
A: Click to see the answer
Q: 3. The population of a community is known to increase at a rate proportional to the number of people…
A: Topic:- exponential function
Q: It is estimated that t months from now, the population of a certain town will be changing at the…
A: Click to see the answer
Q: Determine the growth constant, k, of a population that is growing at a rate proportional to its…
A: A population that is growing at a rate proportional to its size.…
Q: 2. The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at…
A: Click to see the answer
Q: The amount of radio active material present at time t is given by A=Aoe*t, where Ao is the initial…
A: As many Questions are given , I will solve only one: Let A0 be the initial amount. Given that a…
Q: What rate of interest compounded continuously will yieldan effective interest rate of 6%?
A: It is given that, the effective interest rate is 6%. re=6%=0.06
Q: What rate of interest compounded continuously will yieldan effective interest rate of 6%?
A: Assume the compound interest to be k% per annum. To calculate the effective rate, use the following…
Q: What rate of interest compounded continuously will yieldan effective interest rate of 6%?
A: Click to see the answer
Q: 2. The number of bacteria at the beginning of an experiment was 30 and the bacteria grow at an…
A: Given The number of bacteria at the beginning of an experiment = 30 hourly growth rate = 1.4%
Q: - Consider the problem: A water bucket is being filled with water from a water faucet at a constant…
A: we require only 1 things to know the solution of the question which is the time when the bucket will…
Q: A certain radioactive material decays at a rate proportional to the amount present. At time ?=0,…
A: Click to see the answer
Q: Suppose that the fish population P(t) in a lake is attacked by a disease at time t = 0, with the…
A: Click to see the answer
Q: In a city of half a million, there are initially 400 cases of a particularly virulent strain of flu.…
A: Click to see the answer
Q: 2. The population of a town grows at a rate proportional to the population present at time t. The…
A: Click to see the answer
Q: 2. The population of a town grows at a rate proportional to the population present at time t. The…
A: Find your answer below
Q: Determine the growth constant, k, of a population that is growing at a rate proportional to its…
A: Given,
Q: 5. Consider the problem: A water bucket is being filled with water from a water faucet at a constant…
A: Click to see the answer
Q: Given the rate of change of a quantity Q and its initial value Q(0), explain how to find the value…
A: Given: the rate of change of a quantity Q and its initial value Q(0), To find: the value of Q at a…
Q: Because of the popularity and power of smartphones, demand for wireless communication is growing…
A: Given:
Q: A bacteria colony grows at a rate of 11% per year. If the initial sample has a mass of 500 grams,…
A: We are given that the grow after each year is 11%, that means if the initial value is x, then the…
Q: The rate at which radioactive nuclei decay is proportional to the number of nuclei that are present…
A: Click to see the answer
Q: Suppose a variable is growing continuously at a nominal rate of 10% per year. What is the effective…
A: Click to see the answer
Q: 3. The population of a community is known to increase at a rate proportional to the number of people…
A: Let initial population P0Population at time t is P.
Q: What is the result of integrating a population growth rate betweentimes t = a and t = b, where b…
A: Integrating a population growth rate between a to b that is ∫abRatedt
Q: Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5…
A: Given, The constant rate of depreciation value of a certain car. We bought a car amounting to 1.5…
Q: The population of Normal, Illinois grows proportionally to its population at time t. At an initial…
A: Given, dPdt=kP Where P is the population and k is the proportionality constant.
Q: It is estimated that t months from now, the population of a certain town will be changing at the…
A: This question is related to population growth, We will solve it using integration.
Q: 5. An apple pie with an initial temperature of 170 °C is removed from the oven and left to cool in a…
A: Click to see the answer
Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…
A: Click to see the answer
Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…
A: A certain radioactive material is known to decay at a rate proportional to the amount present. If…
Q: The biomass of a yeast culture in an experiment is initially 29 grams. After 30 minutes the mass is…
A: Click to see the answer
Q: Assume that in a certain country, the rate at which jobs are created is proportional to the number…
A: Explanation: Suppose that number of jobs = N Here given that, the rate at which jobs are created is…
Q: 5. Consider a scenario in which a 20ft tall lamppost lights up a street. A 5ft tall woman stands…
A: Click to see the answer
Q: certain radioactive material is known to decay at a rate proportional to the amount present. if…
A: Let the amount of material be a g after t years Given that, certain radioactive material is known to…
Q: #2. Researchers have descried the maximum growth rate of a phytoplankton as a function of the cell…
A: Click to see the answer
