A radioactive substance decays exponentially. A scientist begins with 160 milligrams of a radioactive substance. After 32 hours, 80 mg of the substance remains. How many milligrams will remain after 36 hours? mg

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: Find the equation for an exponential function

A:

Q: A radioactive substance decays exponentially. A scientist begins with 140 milligrams of a…

A: Exponential decay model:- x(t)=Ce-ktwhere x is the amount of substance at time tk is the rate of…

Q: In 1980 1.862 million people lived in San Diego county. In 2010it had 3.103 million people. Assuming…

A: let exponential equation P=abt a is the population in 1980 i.e., 1.862 Million and  b is growth…

Q: At the start of a zombie apocalypse, 6 people are initially infected.  After 10 hours, the number of…

A: Option A is the correct choice. Assume the exponential growth function and determine the growth rate…

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

A: From the given problem we get an equation is D= 400×e^(-0.02t)

Q: The population of a Midwestern city decays exponentially. If the population decreased from 900,000…

A: Given data is : Population in 2003 is 900,000 Population in 2005 is 800,000 To find the population…

Q: The population of a Midwestern city decays exponentially. If the population decreased from 900,000…

A: To find - Population in 2008.

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

A:

Q: A radioactive substance decays exponentially. A scientist begins with 180 milligrams of a…

A: Given:- A radioactive substance decays exponentially. A scientist begins with 180 milligrams of a…

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: A car purchased for $40,000 depreciates exponentially. After one year, the car is valued at $25,000.…

A: We have to find depreciating after 3 years.

Q: A radioactive substance decays exponentially. A scientist begins with 180 milligrams of a…

A:

Q: There are currently 69 million cars in a certain country, increasing exponentially by 5.1% annually.…

A: amount = P(1+r/100)T

Q: A radioactive substance decays exponentially. A scientist begins with 140 milligrams of a…

A:

Q: A radioactive substance decays exponentially. A scientist begins with 100 milligrams of a…

A:

Q: The number of bats in a colony is grown exponentially. After two years there are 180 bats. After…

A:

Q: A boat purchased for $25,000 depreciates exponentially. After one year, the car is valued at…

A:

Q: If the population of a certain county was 100,000 in 1998 and 110,403 in 2008, and if the population…

A:

Q: The number of bats in a colony is growing exponentially. After 2 years, there were 120 bats. After 5…

A:

Q: Back in 1997, Palto Town had a population of 10,000 residents. Ten years later, the population grew…

A:

Q: A car is purchased at $18,000. The car depreciates by 5% each year. Give the exponential model. How…

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 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: Find the equation of an exponential function that goes through the following two points (0,8) and…

A: We have to find the equation of an exponential function that goes through the following two points…

Q: Find a formula for the exponential function passing through the points (-3,5/27) and (3,135)

A: The objective is to find the exponential function

Q: Suppose a $40,000 car loses 13% of its value each year. Write an exponential equation and use it to…

A: Given- $40,000 , and its loses 13% of its value each year. To find-  In how many years (to the…

Q: Find the formula for an exponential function that passes through the two given points. (1,-1) and…

A: Suppose the function is of the form

Q: A scientist begins with 200 milligrams of a radioactive substance that decays exponentially. After…

A: We will solve for the amount remaining after the given time.

Q: A radioative substance decays exponentially. A scientist begins with 150mg of a substance. How many…

A: Consider the rate of decay is of the form, y=a1-rx Here, y is the final amount, a is the initial…

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

A:

Q: A petri dish currently has a population of 10 bacteria and the population doubles every year. Write…

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Q: what is the equation of the exponential function that goes through the points (1,10) and (4,80)?

A: solution:-

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: A radioactive substance decays exponentially. There are 400 milligrams of the substance to begin…

A:

Q: The value of a collectible toy is increasing exponentially. The

A: Given the collectible toy is increased exponentially. The two points on the graph show the toy's…

Q: Find a formula for the exponential function passing through the points (-1,5) and (3,54) y =

A: use the general form of exponential function . and use this point to get the coefficient of…

Q: Find a formula for the exponential function passing through the points (-2, 3 ) and (2,48) 16 y =

A:

Q: A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a…

A: Please refer the attached image for complete solution.

Q: A radioactive substance decays exponentially. A scientist begins with 110 milligrams of a…

A: The number of atoms N of a radioactive substance which remain undecayed after an elapse of time t…

Q: There are currently 64 million cars in a certain country, increasing exponentially by 2.8% annually.…

A:

Q: Find a formula for the exponential function passing through the points (-3, and (1, 20). 64 y =

A:

Q: A radioactive substance decays exponentially. A scientist begins with 150 milligrams of a…

A:

Q: In 2013, the population of a colony is 18500, and is increasing exponentially at a rate of 10.7% per…

A:

Q: The population of a town is increasing by 636 people per year. State whether this growth is linear…

A:

Q: The count in a bacteria culture was 800 after 15 minutes and 2000 after 40 minutes. Assuming the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A population of bacteria grows exponentially and their population doubles If the initial observation…

A: NOTE: Refresh your page if you can't see any equations. . here we have the initial population is…

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.