A culture of 100 bacteria grows to 150 after 2 hours. How long will it take to double in size? Assume exponential growth.

Q: A culture of bacteria originally numbers 500. After 2 hours there are 1,500 bacteria. Assuming…

A: Given Initially bacteria are 500 after 2 hours they are 1500

Q: Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4years?

A: Given principal(p)=$4000Interest rate(r)=3%=0.03time(t)=4 yearssince the amount is compounded…

Q: Joanna deposited $ 3500.00 in an account that pays 4% annual interest, how long does it take to…

A: Use the formula as A=P1+r100t where, A=AmountP=Principalr=ratet=time

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

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Q: Kyle investes in an account earning 8% interest compound continuously. How long will it take to…

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Q: Write an equivalent exponential equation.

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Q: Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in4 years?

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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 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 count in a bacteria culture was 500 after 20 minutes and 1500 after 30 minutes. Assuming the…

A: Given that, the count in a bacteria culture was 500 after 20 minutes and 1500 after 30 minutes.…

Q: The count in a bacteria culture was 600 after 20 minutes and 1700 after 40 minutes. Assuming the…

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Q: suppose the half-life of caffeine in the bloodstream of a healthy adult is 6 hours. If the person…

A: Given: initial quantity of caffeine C0=200 mgt=12 hrs (11 am to 11 pm)half life t12= ln 2K…

Q: The count in a bacteria culture was 300 after 15 minutes and 1500 after 40 minu count grows…

A: We will solve.

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

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Q: A doctor prescribes 150 milligrams of a therapeutic drug that decays exponentially. If the half-life…

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Q: The count in a bacteria culture was 500 after 20 minutes and 1700 after 30 minutes. Assuming the…

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

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Q: Researchers recorded that a certain bacteria population declined from 290,000 to 300 in 24 hours. At…

A: Bacteria in 16 hours=?

Q: A sample of bacteria initially has 1,500 cells/L. After 5 days, the sample contains 10,000 cells/L.…

A: Given that: Initial bacterial concentration = 1500 cells/LAfter 5 days, sample contains = 10000…

Q: The half-life of radioactive cobalt is 5.27 years. If 100 grams of radioactive cobalt is present…

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Q: The half-life of carbon-14 is known to be 5720 years. Doctor Frankenstein has 300 grams of…

A: From the given data:

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 count in a bacteria culture was 300 after 20 minutes and 1600 after 30 minutes. Assuming the…

A: To begin with this question, we need to know the exponential growth formula that is Nt = N0ekt where…

Q: The count in a bacteria culture was 900 after 10 minutes and 1500 after 40 minutes. Assuming the…

A: NOTE: Refresh your page if you can't see any equations. . let the exponential function is in the…

Q: The count in a bacteria culture was 500 after 20 minutes and 1200 after 40 minutes. Assuming the…

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Q: A culture of bacteria grows exponentially. It doubles in size every 5858 hours. How long will it…

A: Given:The growth of bacteria doubles in size every 5858 hoursFor exponential growth,

Q: In 2011, the population of a district was 31,600. With a continuous annual growth rate of…

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Q: The half-life of radioactive potassium is 1.3 billion years. If 10 grams is present now, how much…

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

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Q: The count  in a bacteria culture was 200  after 15 minutes and 1600 40 minutes assuming the count…

A: So we can model the growth of bacteria with an exponential function given by,             f(t)…

Q: The count in a bacteria culture was 100 after 20 minutes and 1100 after 30 minutes. Assuming the…

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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: 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: Oganesseon 294 has an exponential decay rate of 38.51% per millisecond what is the half life

A: Let N(t) be the amount of Oganesseon 294 at time t. Exponential decay rate is:  r = 38.51%

Q: If $5,000 is invested at 7% annual interest, how long does it take to be worth $6750?

A: Initial amount =P= 5000  Final amount = 6750  So interest =I= 6750-5000= 1750  Interest rate = 7%=…

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: The current population of a threatened animal species is 1.7million, but it is declining with a​…

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Q: The count in a bacteria culture was 400 after 20 minutes and 1500 after 30 minutes. Assuming the…

A: The solution is given as follows

Q: The count in a bacteria culture was 300 after 15 minutes and 1800 after 30 minutes. Assuming the…

A: It is given that, Initially, at time t1=15 min. the bacteria count was N1=300 While, at time t2=30…

Q: Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4 years?

A: Given that,   Invest value (P) =$4000   Interest rate(r) = 3%   Time (t) =4 years

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

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Q: The count in a bacteria culture was 500 after 15 minutes and 1100 after 40 minutes. Assuming the…

A: Let the exponential model is : y=a(bx)  Where x= time in minutes  y= number of bacterias

Q: The count in a bacteria culture was 200 after 10 minutes and 1700 after 30 minutes. Assuming the…

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Q: The count in a bacteria culture was 800 after 10 minutes and 1800 after 35 minutes. Assuming the…

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

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Q: The count in a bacteria culture was 100 after 20 minutes and 1100 after 40 minutes. Assuming the…

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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…

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…

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.