A certain species of insect was transplanted to a new environment. The population P of the insect t months after being transplanted is p(t)=50(1+0.5t) / 2+0.01t   How many insects were transplanted originally?   How long will it take for the population to reach 1000 insects?

Q: A factory produces Q(L) = 9L²/3 items each day, where L is the size of the labor force in…

A: The solution is given below in detailed

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

A:

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

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Q: 3. Nevada's population in 1990 was 14.2 million and can be modeled by y = 14.2e0.0079t where t is…

A:

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

A: Given equation is P(t)=692(2)t3 Given population is 2768 fish To find the time t, we plug in 2768…

Q: A toxin is introduced into a colony of bacteria, and t hours later, the population of the colony id…

A: The given function is: N(t)=(7+3t)e-0.2t To find the time when the population begins to decrease.

Q: Given a cooling coefficient y of 0.1, how long does it take water at 20°C to freeze (reach 0°C) in…

A: Newton's law of Cooling is used

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

A:

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

A: Given that

Q: pulation of a certain inner-city area is estimated to be declining according to the model P(t)=…

A: answer is in next step. please give a like !!

Q: By natural increase, a city whose population is 40,000 will double in 50 yrs. There is a net…

A: This question is related to population growth, We will solve it using given information.

Q: There are 500 students enrolled for MATH141 course in PMB and Howard college. A rumour starts to…

A: According to the given information,

Q: The population of a certain inner-city area is estimated to be declining according to the model P(t)…

A:

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

A: A certain species of deer is to be introduced into a forest, and wildlife experts estimate the…

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

A: A certain species of alligators is to be introduced into a swamp, and wildlife experts estimatethe…

Q: This question is regarding halfway decay,  Number of atoms of an isotope at time t ( in hours )…

A: Number of atoms of an isotope is decaying by f(t)=e-1.9t at time t. "t" represents in hours.…

Q: A certain community consists of 3000 people, and one individual has a particularly contagious strain…

A: TO FIND - 1. NUMBER OF PEOPLE WHO HAVE CONTRACTED THE FLU AFTER 10 DAYS 2. CARRYING CAPACITY 3.…

Q: A factory produced Q(L)= 9L^(2/3) items each day, where L is the size of the labor force in…

A:

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

A:

Q: Sales of fine-cut cigarettes (in millions) in a country are given by y = - 14.898x2 + 356.467x +…

A:

Q: The population of a certain inner-city area is estimated to be declining according to the model…

A:

Q: Annual oil production for a region was about 520 million tons in 1950. Production increased at a…

A: Given that, Annual oil production for a region was about 520 million tons in 1950. Production…

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

A:

Q: 2. An efficiency study of the morning shift at a factory (7 am to noon) indicates that an average…

A: Answer

Q: A body whose temperature is 50°F is placed in a warming oven whose temperature is 100°F. After 5…

A:

Q: An epidemic is spreading at the rate of 18e0.2t new cases per day, where t is the number of days…

A:

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

A: It is given that A certain species of deer is to be introduced into a forest, and wildlife experts…

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

A: Given p(t)=(751)3t2

Q: A population of a small city had 3000 people in the year 2000 and has grown at a rate proportional…

A: In this question, we will use growth topic of differential equations.

Q: The size of a bacterial culture grows in such a way that after t minutes, there are P(t) = 20.00€ A…

A: Given that the size of a bacterial culture grows in such way that after t minutes is Pt=20.001tA And…

Q: The city of Anville is currently home to 23000 people, and the population has been growing at a…

A:

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

A:

Q: Example 3: Using data from the U.S. Census Bureau, the population (in thosands) of Detroit, Michigan…

A:

Q: The population of a certain city t years after 2000 is given by f(t)=40,000e0.02t.  a) What is the…

A:

Q: Between 2005 and 2009, the percentage of people who own a home has changed drastically from state to…

A:

Q: The population of a certain inner-city area is estimated to be declining according to the model…

A: NOTE: Refresh your page if you can't see any equations. . take t=66 years

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

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: An animal population currently has 7400 members and is reproducing at a rate of R(t) = 2270 + 50t…

A:

Q: At t years from now, one investment plan will be generating profit at the rate of 50 + t ^ 2…

A: Given ,  At t years from now, one investment plan will be generating profit at the rate of 50 + t2…

Q: The population of a certain inner-city area is estimated to be declining according to the model…

A: Given: The population decline of a certain city is given as, P(t)=580000e-0.022t t- Number of years…

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

A: Population of fish

Q: The size of a stray cat population at the bay area of a certain city grows at a rate of 7% monthly.…

A:

Q: Nearly half of the U.S. population lives in coastal areas susceptible to coastal hazards, and the…

A: Given,        Nearly half of the U.S population lives in coastal areas susceptible to coastal…

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

A: year=2042

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

A: Given  Pt=931×4t2 where t is the number of years.

Q: If the Richter scale reading of one quake is t units larger than that of a second quake, how do the…

A: Given  Richter scale reading  of one quake is t units larger than that of second quake.

Q: ion of a city in 2000 was 900,000 while the at demographic studies show that each ye ile 3% of the…

A: Given,   City Suburbs of the city Population in the year 2000 900,000 400,000

Q: A watercolor purchased in 2010 for $30,000 is estimated to be worth v ( t ) = 30,000e^t/6 dollars…

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.