Suppose that 40 deer are introduced in a protected area. The population of the herd P can be modeled by P = 40 + 20x / 1 + .05x  where x is the time in years since introducing the deer. Determine the time required for the deer population to reach 200.

Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

A:

Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

A: Decay of amount of carbon 14 is given by y(t) = yo e-0.0001216 t where yo is the amount of carbon 14…

Q: Suppose a city with population 100,000 has been growing at a rate of 8% per year If this rate…

A:

Q: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

A: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

Q: A certain forest covers an area of 2100  km2 . Suppose that each year this area decreases by 9% .…

A: ANSWER:

Q: Q2: The population of a state is known to grow at a rate proportional to the number of people…

A: Given- The population of a state is known to grow at a rate proportional to the number of people…

Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million…

A:

Q: From 1975 to 2009, the age-adjusted incidence rate of invasive lung and bronchial cancer among women…

A: Given that the age-adjusted incidence rate of invasive lung and bronchial cancer among women can be…

Q: A bacteria population grows by 10% every 3 days. Based on this, if we initially have 2,000…

A: First of all we should know that the growth is exponential so formula will be: Nd = N0ekd where N0…

Q: A team of medical researchers determined that t days after the epidemic started N(?) = 10t^3 + 5t…

A:

Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

A: We will use the given decay function and initial conditions to find the require time

Q: Assume that a runner runs a 100 meter sprint in 12.3 seconds. He accelerates steadily in the first…

A: The runner accelerates steadily in the first 25 meters. Let the acceleration be a m/s2 and suppose…

Q: Experimentally, the number of bacteria in cultivation duplicates for each hour. If there are 1000…

A:

Q: Suppose that 50,000 bacteria are in a dish and that the population grows continuously by 4% each…

A:

Q: The population of a certain country is known to increase at a rate proportional to the number of…

A: Solve by making differential equation

Q: The population of an island grows at a rate proportional to its population. If the growth rate is 5%…

A:

Q: It is projected that t years after 2010, the population of the United States will be…

A:

Q: A city has a population of 230000 people. Suppose that each year the population grows by 4% . What…

A:

Q: The population of a certain state is known to grow at a rate proportional to the number of people…

A: Given that 10 years the population has trembled and for  20years the population is 150000. p(t)…

Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

A: Given: y=y0e-0.0001216t

Q: For a period of time, an island's population grows at a rate proportional to its population. If the…

A: The general growth formula is given by,

Q: The population of Northern Cascadia is growing at a rate of 20% every 3 years. Assuming that it…

A: Topic: percentage

Q: Suppose a city with population 300,000 has been growing at a rate of 5% per year. If this rate…

A:

Q: A mold population is growth at 8% every three months. If there is initially 3 cm3 of mold, when will…

A: Formula for population growth is  P=P0ert where P = final population after time t P0 = initial…

Q: At time t years an industry consumes fuel at the rate of /(2t + 9) million barrels per year. If the…

A: Linear equation are those equation in which highest power of the variable is 1. The linear equation…

Q: Suppose a city with population 800,000 has been growing at a rate of 3% per year. If this rate…

A:

Q: Suppose the amount of Carbon-14 remaining in a sample of 100 milligrams after X years can be…

A:

Q: The population of the United States is predicted to be P(t) = 310e0.0073t million, where t is the…

A:

Q: The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000…

A: Given:The initial number of mosquitoes is 1000. That is, P0 = 1000.The numbr of  mosquitoes is 1600…

Q: the population of a colony of mosquitoes obeys the law of uninhibited growth. if there are 1000…

A: The population of a colony of mosquitoes obeys the law of uninhibited growth. if there are 1000…

Q: A bacteria has an initial population of 200. If after 2hrs, its population is 10 times the original…

A:

Q: For the years from 2002 and projected to 2024, the national health care expenditures H, in billions…

A: H=1,500e^0.053t

Q: The population of a city is 89​,000. If the population grows continuously by 3.2​% per​ year, in how…

A:

Q: Suppose a population can be modeled by P(t) = %3D 200(1.052)*, where P(t) is in thousands and time…

A: Exponential function: - An exponential function in mathematics is one of the form f(x)=ax, where "x"…

Q: The population of a community is known to increase at a rate proportional to the number of people…

A:

Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million…

A: Given :  Population of the United States in 2008 was 304 million people Population grows at a rate…

Q: n of 100 bacteria has a half-life of 28 days. How many bacteria, y, will there be in x days?

A:

Q: As baby boomers enter their golden years, the number of people afflicted with Alzheimer's disease is…

A: the number of people with Alzheimer's disease in the USA ae 65 years and over is projected to be…

Q: A certain species of fish is to be introduced into a lake, and wildlife experts estimate the…

A: Population of fish

Q: Suppose a survey shows that a mayoral candidate is gaining votes at a rate of 2100t + 1500 votes per…

A:

Q: Suppose a city with population 700,000 has been growing at a rate of 3% per year. If this rate…

A: The initial population, P0=700,000  The rate of growth, r= 3%=3100=0.03

Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million…

A: year=2042

Q: During a certain epidemic, the number of people that are infected at any time increases at a rate…

A: image is attched

Q: The population of certain species of bats doubles every five hours, initially there are 40 Båts (a)…

A: General formula for exponential growth is given by P(t)=P0ert. Since initially there are 40 bats…

Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million…

A:

Q: A new car that sells for $19,000 depreciates (decreases in value) 21% each year. What is the decay…

A:

Q: A certain forest covers an area of 1900km^2. Suppose that each year this area decrease s by 3%. What…

A: Initial area of the forest = 1900km^2 decay rate = 3% per year time = 11 years

Q: After 12 hours, half of a 16 gram sample of a radioactive element remains. Find the constant k for…

A:

Q: For the years from 2002 and projected to 2024, the national health care expenditures H, in billions…

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.