The half-life for a link on a social network website is 2.6 hours. Write an exponential function T that gives the percentage of engagement remaining on a typical link on the social network website after t hours. Estimate this percentage after 4.2 hours. T(t)=.....%

Q: In the model for exponential growth or decay, the amount, or size, at t = 0 is represented by C・・・…

A: The exponential growth or decay functions are given by;A= A0 ektk<0, decay modelk>0, growth…

Q: At noon, to begin a study, a petri dish had 2600 bacteria cells. Each hour since, the number of…

A:

Q: 2000, the population of the Palestinians in the West Bank, Gaza Strip, and East Jerusalem was…

A:

Q: If the rate of inflation is 2.2% per year, the future price p(2) (in dollars) of a certain itern can…

A: we have been given the exponential model of the future price p(t) of a certain item by the function…

Q: nitially, there are 600 grams of a radioactive substance on hand. Suppose the half-life of the…

A: Lets consider radio active decay to exhibit first order kinectics. Take concentration of the…

Q: A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population…

A: Given: The initial number of Wolves  is 870  It is also given that the yearly decay rate is 19%=0.19…

Q: In 2000, the population of a country was approximately 6.37 million and by 2060 it is projected to…

A:

Q: (in dollars) of a certain item can be modeled by the following exponential function, where  t  is…

A:

Q: Suppose that the dollar value v (t) of a certain house that is t years old is given by the following…

A:

Q: To begin a bacteria study, a petri dish had 2200 bacteria cells. Each hour since, the number of…

A:

Q: Suppose y = ceka is an exponential function that has the points (0.3,5) and (12.9,18.7) on its…

A:

Q: The number H(t) of veterans from foreign wars who are homeless or at risk of becoming homeless can…

A: Given, H(t)=51(1.66)^t

Q: 22) The following exponential function represents the growth or decay of a bacterial population, P,…

A:

Q: 2. The U.S. Fish & Wildlife Service has monitored the number of bald eagle breeding pairs in the…

A:

Q: In 2003 at the outbreak of the SARS epidemic on April 1 there were 1084 cases. On April 15 there…

A: At April 1, x=0       f(x)=Abxf(x=0)=Ab0    1084=A At April 15, x=14       f(x)=Abxf(x=14)=1084b14…

Q: If the rate of inflation is 2.5% per year, the future price p (t) (in dollars) of a certain item can…

A:

Q: A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population…

A: It is given that, the initial number of gray wolves in Idaho is 870 and the population decrease at…

Q: Between 1853 and 1993, carbon dioxide ( CO2) concentration in the atmosphere rose from roughly 252…

A: Given exponential function  Q = Q0(1+r)t At 1853, carbon dioxide ( CO2) concentration in the…

Q: A tube of toothpaste is found to have 113 bacteria present one month after it was bought and 559…

A: Let the exponential model be written as,

Q: During an​ epidemic, the number of people who have never had the disease and who are not immune​…

A: f(t) = 16000e-0.04tat the beginning t = 0 f(0) = 16000

Q: A bird species in danger of extinction has a population that is decreasing exponentially (A =…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The sociologists Stephan and Mishler found that the exponential function N(p) = Nje-.11(p-1) for 1…

A: Given The sociologists Stephan and Mishler found that the exponential function N(p) = N₁e-.11(p-1)…

Q: Suppose = ceka is an exponential function that has the points (1.7,6.8) and (12.7,12.6) on its = ce…

A:

Q: Suppose that f is an exponential function with percentage growth rate 3% and that f(0)=4. Find a…

A: Solution of the problem as

Q: Suppose that the future price p (t) of a certain item is given by the following exponential…

A: Given query is to find the initial price, and growth rate.

Q: 9) The half-life of Erbium-165 is 10.4 hours. After 41.6 hours, a sample of Erbium-165 has reduced…

A: Half life of Erbium-165 is 10.4 hours.

Q: Assume that you start with 3000 units of some quantity Q. Construct an exponential function that…

A: (a) It is given that the initial amount of quantity is 3000 units. Obtain an exponential function…

Q: Suppose that the future price p(t) of a certain item is given by the following exponential function.…

A:

Q: 2000, the population of the Palestinians in the West Bank, Gaza Strip, and East Jerusalem was…

A:

Q: Assume that the number of bacteria follows an exponential growth model: P(t) Poekt. The count in the…

A: we will solve this question using the below method.

Q: Most population growths can be modeled by the exponential​ function:   P(t) = aert where t…

A: Given: i. In the year 1977, a particular population of people was 3046.ii. In the year 1987, a…

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: A tube of toothpaste is found to have 58 bacteria present one month after it was bought and 414…

A: Let B0 represents the number of bacteria present in the toothpaste at the time of purchase. Then,…

Q: A computer, orginally purchased for $2000, loses value according to the exponential function V =…

A: Given information: The exponential equation of the computer at time t in years. V(t)=200012th, where…

Q: Years 2010 2019 2029(est) Median rent for All $2,090 $2,400 Median rent for $2,330 $2,450 Recent…

A: @solution::::

Q: 8. The number of women graduating from 4-year colleges in the United States grew from 49,000 in 1930…

A:

Q: Suppose that the future price p (t) of a certain item is given by the following exponential…

A:

Q: 1. The area, in square meters, of a pond covered by an algae bloom decreases exponentially after a…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: 4. The amount of caffeine in a person's body follows an exponential function, as do many drugs. The…

A: Find the value for k in the exponential function.

Q: Suppose that the dollar value v (t) of a certain house that is t years old is given by the following…

A:

Q: Consider the exponential function f(x) = 25,000 0.88*, which models the amount of money remaining in…

A: Given: an exponential function f(x) = 25000 × (0.88)x It is in the standard form of equation…

Q: The population of bacteria on a doorknob at 1 PM was 20 and 30 minutes later grew to 500. a. Write…

A:

Q: Suppose that the dollar value v (t) of a certain car that is t years old is given by the following…

A: Use exponential function

Q: Suppose the population of a small town is 19000 and growing exponentially at 2.9 %. How many years…

A: The population of a small town is 19000 and growing exponentially at 2.9%.

Q: In the period immediately following the initial public offering (IPO), OHaganBooks.com's stock was…

A: The exponential model is as follows. S=AbtA is the value of stock during the purchaseb is the…

Q: "A population of snakes grows from being 300 to being 900 after 2 years. If the population is…

A:

Q: In​ 1996, an outbreak of a disease infected 20 people in a large community. By​ 1997, the number of…

A: Given: In​ 1996, an outbreak of a disease infected 20 people in a large community. So,  No = 20 By​…

Q: A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population…

A:

Q: The half-life of a certain chemical in the human body for a healthy adult is approximately 7 hr. a)…

A: The half‐life of a certain chemical in the human body for a healthy adult is approximately 7 hr.a To…

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.