A 13-inch tall sunflower is planted in a garden and the height of the sunflower increases exponentially. 4 days after being planted the sunflower is 17.6864 inches tall. What is the 4-day growth factor for the height of the sunflower?   What is the 1-day growth factor for the height of the sunflower?   What is the 6-day growth factor for the height of the sunflower?

Q: Find the equation for an exponential function

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Q: A culture of bacteria originally numbers 500. After 2 hours there are 1500 bacteria in the culture.…

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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: In the last ten years, the population of Brazil has grown at an exponential rate of 0.8% per year to…

A: In the last ten years, the population of Brazil has grown at anexponential rate of 0.8% per year to…

Q: The other day, you won $250 on a scratch ticket . You plan to deposit the money into your savings…

A: Given query is to find the amount after 5 years.

Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

A: topic - exponential function

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

A: Given that, A boat purchased for $25,000 depreciates exponentially. After one year, the car is…

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

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Q: Emma invested $630$630 in an account in the year 1997, and the value has been growing exponentially…

A: for growing exponentially

Q: Find the exponential equation whose graph passes through the points (-3, 7) and (3,135) y =

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Q: Ava invested $470$470 in an account in the year 2000, and the value has been growing exponentially…

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Q: The balance owed on your credit card doubles from $1000 to $2000 in 6 months.  If your balance is…

A: Given , The balance owed on credit card doubles from 1000$ to 2000$ in 6 months.As the growing is…

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

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

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Q: Find the exponential equation whose graph passes through the points (-2,4/25) and (2,100).   y=

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Q: The count in bacteria culture was 400 after 10 minutes and 1700 after 35 minutes. Assuming the count…

A: Let growth takes exponentially by the below equation;- N=N0ekt N0=Initial Populationk=Growth rate…

Q: The town of Diamond Wish, which initially had 20 000 people, began to experience an exponential…

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

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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…

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Q: In the last ten years, the population of Brazil has grown at an exponential rate of 0.9% per year to…

A: Present population = 204,832,665Rate of growth = 0.9% per yeartime = 10 years

Q: The population of rabbits on an island is growing exponentially. In the year 2005, the population of…

A: In 2005, population, P1=6900   In 2012, population, P2=13500

Q: Use the exponential growth model,A = A0ekt, to solve: In 1975, the population of Europe was 679…

A: a. Find an exponential growth function that models the data for 1975 through 2015.

Q: Suppose the population of spiders in a sanctuary grows exponentially. After one day, 
there were 50…

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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: 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 exponential equation whose graph passes through the points (-2, 76) and (1,20) 16 y =

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Q: The number of bats in a colony is growing exponentially. After 1 year, there were 70 bats. After 4…

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

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Q: A house purchased for $199,500 gains 2% of its value every year. If this growth rate continues, in…

A: A=P(1+r)t

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

A: solution:-

Q: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. Write…

A: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. To…

Q: an effort to control vegetation overgrowth, 65 rabbits are released in an isolated area free of…

A: Given : a =65  t = 2 Total = 585

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

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Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

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

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Q: Find a formula for the exponential function passing through the points (-1, 5252) and (3, 40).y =

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Q: The count in a bacteria cculture was 300 after 15 minutes and 1800 after 35 minutes. Assuming the…

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Q: Find the exponential equation whose graph passes through the points (-3,3/8) and (1,6).…

A: The general form of an exponential equation is y=abx where a, b are any constants. The given two…

Q: The brewing pot temperature of coffee is 180ºF and the room temperature is 76ºF after 5 minutes, the…

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

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Q: The hourly wage of workers was raised once a year and grew exponentially from $7.507.50 to…

A: Given the hourly wage of workers was raised once a year and grew exponentially from $7.50 to $10.67…

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

A: Let ‘x’ denotes the amount of aspirin in bloodstream after ‘t’ hrs. The exponential model which…

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

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Q: There were ( 376 ) people affected by corona pandemic in a region on 1 January , 2021. How long it…

A: Using differential equations we can model up a formula for exponential growth rate. Here we use such…

Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

A: Given; A=Ao e^(-0.0001213)

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.