Soon after taking aspirin, a patient has absorbed  300 milligrams of the drug. After 2 hours, only 75  milligrams remain in the bloodstream. Find an exponential model for the amount of aspirin in the bloodstream after t hours, and use your model to find the amount of aspirin in the bloodstream after 5  hours.

Q: Find the equation of the exponential function that goes through the points (0,2000) and (2,20).

A: Given:

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: 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: The number of bats in a colony is growing exponentially. After 1 year, there were 130 bats. After 4…

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Q: The population of bacteria cells in a dish grows exponentially at a rate of 5% per hour. If there…

A:

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

A:

Q: A bacterial population has an exponential growth rate of 11.2% per hour. If there were 480 bacteria…

A:

Q: Piper invested $900 in an account in the year 2009, and the value has been growing exponentially at…

A:

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

A:

Q: This year there were 25,000 new births in a large county, but new births are expected to decay…

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Q: The count in a bacteria culture was 500 after 20 minutes and 1100 after 40 minutes. Assuming the…

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Q: The amount of money in an account grows exponentially according to the function A(t)=A0ekt. If the…

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Q: The count in a bacteria culture was 700 after 15 minutes and 1300 after 30 minutes. Assuming the…

A:

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

A:

Q: Four months after it stops advertising, a manufacturing company notices that its sales have dropped…

A: given that,Four months after company stops advertising, a manufacturing company notices its sales…

Q: In the year 2006, the age-adjusted death rate per 100,000 Americans for heart disease was 238.5. In…

A: (a) Let exponential model for the given data will be, Dt=D0e-λt, where Dtis death rate 100,000…

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

A:

Q: The population in a small town in 2010 was 45,230 people and is growing exponentially at a rate of…

A: Given: The population of the town in 2010 was 45,230. rate of growth is 2%. An exponential growth…

Q: Samantha purchased a new car in 2010 for $16,200. The value of the car has been depreciating…

A: A car is purchased for $ 16,200 in 2010. Its value is depreciating exponentially at a constant rate.…

Q: Find a formula for the exponential function passing through the points (-3, 27) and (3, 54). y =

A:

Q: In the year 1998, the age-adjusted death rate per 100,000 Americans for heart disease was 235.9. In…

A:

Q: The original number of bacteria found present in a body was 160. Now, after a period of 9 hours, the…

A: The general exponential model is: y(t)=y0 ert where y(t) is the amount of bacteria present in the…

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: The count in a bacteria culture was 700 after 20 minutes and 1400 after 30 minutes. Assuming the…

A: Given data: Count in bacteria culture after 20 mins=700 Count in bacteria culture after 30…

Q: A doctor prescribes 150 milligrams of a therapeutic drug that decays by about 25% each hour. Write…

A:

Q: A lab culture initially contains 500 bacteria. Two hours later, the number of bacteria decreases to…

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: In the year 1980, the city of Gumbolantenden had a population of 20,000. The population of…

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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: A fruit fly population of 24 flies is in a closed container. The number of flies grows…

A: The number of flies f(t) will be governed by the equation, f(t) = 24etτ, where τ is the time…

Q: Find the equation of the exponential function that goes through the points (0, 2000) and (2, 20).

A: First write exponential form Then pass through given points

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

A:

Q: Carbon decays exponentially. How many grams of the carbon will be left in 123 years, if 161 grams…

A:

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

A:

Q: The hourly wage of workers was raised once a year and grew exponentially from $7.007.00 to $9.879.87…

A:

Q: Kyle invests in an account earning 7.75% interest compounded continuously. How long will it take to…

A:

Q: Use the exponential decay model, A = A0ekt, to solve. Round answers to one decimal place. The…

A: Given  we have to use  A = A0ekt The half life of thorium is 7340 years

Q: The population of a city is 7 million, with exponential growth rate 4%. In how many years will the…

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Q: The count in a bacteria culture was 600 after 20 minutes and 1500 after 35 minutes. Assuming the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A couple paid 30000 dollars for a house forty years ago. Today, they sold the house for 250000…

A: We have to use formula of Compounded Annual Growth Rate formula here.

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

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

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Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. After 2 hours, only…

A: Given that, at t=0 the value of the aspirin is 300 mg. It is known that, the formula for the…

Q: Can you do this exponentially?

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

Q: A radioactive substance, calculuism, has a half life of 72 years. If the amount after 40 years is 92…

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Q: Joe scraped his knee after falling off his skateboard, leaving a wound with an area of 291 mm^2. The…

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Q: The count in a bacteria culture was 600 after 10 minutes and 1700 after 35 minutes. Assuming the…

A:

Q: The balance on your credit card doubles from 1000 to 2000 in 6 months, if your balance is growing…

A:

Q: In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million. Solve,…

A: Given: In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million

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

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.