A radioactive substance, calculuism, has a half life of 72 years. If the amount after 40 years is 92 grams, what will be the amount of this substance remaining after 20 years assuming the substance behaves with exponential decay? Use the half life information to find k. Use the amount after 40 years to calculate C. Then use the equation to calculate the amount after 20

Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: ount of asprin decays exponentiallyf(t) = Ae-ktat t = 0 ,   300 = Ae0⇒ A = 300

Q: 74 rabbits are released in an isolated area free of predators. After 2 years, it is estimated that…

A: Given, After 2 years, population of rabbit increased to 296 (74*4) , which is four times of initial…

Q: The count of bacteria in a culture was 600 after 20 minutes and 2000 after 35 minutes.

A: 20,600 and 35,2000 Let the exponential model be y=abx. Substitute the given point to obtain the…

Q: Find a formula for the exponential function passing through the points (-2,5) and (1, 15). y =

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

Q: Write the equation of an exponential function with an initial value of 7 and a decay factor of 0.27

A:

Q: The amount of a certain antibiotic that remains in thr bloodstream of a patient exhibits exponential…

A: Consider the amount of a certain antibiotic which remains in the bloodstream of a patient exhibits…

Q: The​ half-life of a certain tranquilizer in the bloodstream is 37 hours. How long will it take for…

A:

Q: If the population of a certain city was 100,000 in 1996 and 110,381 in 2006, and if the population…

A: Given that: Population of city = 100, 000 in 1996 and Population of city = 110, 381 in 2006. Also,…

Q: A radioactive substance, calculusium, has a half life of 72 years. If the amount after 40 years is…

A: According to question given that A radioactive substance, calculusium has a half life of =72 years…

Q: Find a formula for the exponential function passing through the points (-2,4/25)and (1,20)

A: Let the exponential function is

Q: Find a formula for the exponential equation passing through the points: (0,3) and (1,12) y =

A:

Q: The population of a southern city follows the exponential law. If the population doubled in size…

A:

Q: Use the exponential decay model, A =Anekt, to solve the following The half-life of a certain…

A: The exponential decay model is given by

Q: The population of the city is declining according to the exponential law. if the population went…

A: To find the population in 2022

Q: The half-life of a certain tranquilizer in the bloodstream is 45 hours. How long will it take for…

A: Simply put the given values in the exponential decay model.

Q: What is the half-life of tritium, which decays at a rate of 5.471% per year.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: If the starting point is 900, and the decay rate is 3%, choose the exponential function.

A: Starting point refers to the initial value. Decay rate is 3% = 0.03

Q: Find a formula for the exponential function passing through 2 the points (-1,=) and (1,10) y =

A:

Q: The population of a southern city follows the exponential law. If the population doubled in size…

A:

Q: Country A haS a growth rate of 3.296 per year. The population is currently 5,965,000, and the land…

A: Let P be the population of country A after t years. Given that the growth rate of country A is 3.2%…

Q: The initial size of a bacteria culture that grows exponentially was 10,000. After 1 day, there are…

A:

Q: The population of a southern city follows the exponential law. If the population doubled in size…

A: The exponential equation for finding doubled the population is,

Q: In 2003, 182 deer were introduced into a wildlife refuge area from which the population had…

A:

Q: The City of Dallas had a population of 1,270,000 in 2010, and a population of 1,560,000 in 2020. It…

A: According to question given thatThe city of Dallas had a population of=1,270,000 in 2010And a…

Q: The​ half-life of a certain tranquilizer in the bloodstream is 41 hours. How long will it take for…

A: The​ half-life of a certain tranquilizer in the bloodstream is 41 hours. Use the given exponential…

Q: The population of a southern city follows the exponential law. if the population doubled in size…

A: Explanation of the solution is given below...

Q: Find a formula for the exponential function passing through the points (-3,,) and (1,10) y =

A: Given a function passing through the points (-3,58) and (1,10) we know the general form of the…

Q: You decide to invest $250 in an account that yields a return of approximately 4% each year. If yo…

A:

Q: count in a bacteria culture was 700 after 15 minutes and 1000 after 35 minutes. Assuming the count…

A: We need the exponential growth formula :                                 N(t) = N0 ekt ,…

Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

A:

Q: The small intestine bacteria, while inhabiting areas optimal for growth, have a doubling time of…

A: The exponential growth can be studied using the exponential growth function. The formula for the…

Q: If 16% of a radioactive substance decays in 13 hours, what is the half-life of the substance? Round…

A: In case of a radioactive decay,  the amount x after time t is given by x(t)=x(0)e−kt where x(0) is…

Q: Find a formula for the exponential function passing through the points (-1,5/4) and (2,80) y =

A:

Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: Given that the aspirin decays exponentially. Therefore, use the exponential model to find the…

Q: A) Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A:

Q: An element with a mass of 120 grams decays by 27.5% per minute. What is the exponential equation…

A: Let us suppose that the initial mass of the element is M0 Let the mass after time t minutes be Mt…

Q: Use the exponential decay model, A = A0ekt, to solve:The half-life of thorium-229 is 7340 years. How…

A: Given exponential decay function: A=A0ekt......(1) where A0, of radioactive substance, A represents…

Q: Find an exponential function that has y-intercept 6 and passes through the point (1, 8).

A:

Q: For a certain patient, a dose of Acetaminophen decays exponentially in their blood stream with a…

A:

Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

A: to solve the given problem

Q: oon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: The initial quantity of aspirin in blood stream, q0=300 milligrams Given the amount of aspirin in…

Q: a southern city folloe exponential law. If the population doubled in size over 30 months and current…

A:

Q: In certain soil conditions, the number of surviving larvae in the hatch of an insect called a…

A:

Q: The half-life of a certain tranquilizer in the bloodstream is 23 hours. How long will it take for…

A: The half‐life of a certain tranquilizer in the bloodstream is 23 hors. To determine how long will it…

Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A: Let us assume it takes n half-lifes to reach 10mg

Q: Find a formula for the exponential function whose graph is below: y 18 (2, 8) х

A:

Q: It is known that a certain kind of algae in the Dead Sea can double in population every 3 days.…

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.