Initially, a petri dish held 34 bacterium organisms. 16 hours later, the number had increased to 51. If this growth is exponential, find the rate of growth. About how many bacteria will be in the petri dish in 1 day?

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

A: Given,The half-life of Radium-226 is 1590 years. i.e., h=1590A sample contains 200 mg.…

Q: Sarah invested $1,200 in an account in the year 1996, and the value has been growing exponentially…

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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: 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: Davis notices that his hair is decreasing exponentially at a rate of 10% per year. If he starts with…

A:

Q: You have 128 grams of a radioactive kind of strontium. If its half-life is 51 days, how much will be…

A: ln e= 1 ln ab=b ln a

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

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Q: The value of a coin collection has increased by 3.25% annually over the last 20 years. Determine…

A: If the growth is exponential the quantity increases over time and the rate of change is constant…

Q: In 2010 there were 50,000,000 Latinos in the US. At the growth rate of 2.5% per year what will the…

A: In 2010 population size is 50,000,000 latinos in the US. Growth rate = 2.5% per year We have to find…

Q: Logan invests $4000 at an annual interest rate of 6%.How much money will she have after 10 years if…

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

A:

Q: of the Philippines has doubled in the last 50 years. The population of the Philippines in 1948 was…

A:

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…

A:

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

A: Bacteria in 16 hours=?

Q: between 2007 and 2008, country B grew almost 2.5% to a populatiopn of 147,000 people. if this geowth…

A: between 2007 and 2008, country B grew almost 2.5% to a populatiopn of 147,000 people. if this geowth…

Q: The number of people living in Canada rose by 1.2% to 38.5 million in 2021. If this population…

A:

Q: The half-life of the radioactive element krypton-91 is 10 seconds. If 16 grams of krypton-91 are…

A: Given: The half-life of the radioactive element krypton-91 is 10 seconds.

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A:

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

A: for growing exponentially

Q: After a large number of drinks, a person has a blood alcohol level of 120 mg/dL (milligrams per…

A:

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

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Q: A truck was valued at $50, 000 in the year 2008. By 2014, the value had depreciated to $20,000. If…

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

A:

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 half life of a drug in the bloodstream is 9 hours. What fraction of the original drug dose…

A: After 9 hours, half is left After a SECOND 9 hours (18 total), half of a half, or, one quarter is…

Q: There are 6,000 cases of Coronavirus in Hong Kong. If Coronavirus cases increase at a rate of 3% per…

A: according to question number of Coronavirus cases after n days is=6000(1+3100)n =6000(1.03)n

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

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: a radioactive isotope, selenium, used in the creation of medical images of the pancreas, has a…

A: To use the exponential model of radioactivity to determine the required amount of substance

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

A:

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: In​ 2000, the population of a city was 80,000. The population had grown to 127,000 by 2013. If the…

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: The half-life of a medication prescribed by a doctor is 6 hours. How many mg of this medication is…

A: The medicine is decaying exponentially. Use the half-life formula to calculate the medicine left…

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: A car was valued at $38,000 in the year 2007. By 2013 , the value had depreciated to $11,000 If the…

A: Given that Cost of the car in 2007 = $38000 Cost of the car in 2013 = $11000 To find the rate of…

Q: The​ half-life of caffeine in a​ person's bloodstream is about 6 hours. If a​ person's bloodstream…

A: The formula for half-life:

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

A:

Q: A culture of 100 bacteria grows to 150 after 2 hours. How long will it take to double in size?…

A: Condition 1: At t=0, P(0)=P0=100   Condition 2: At t=2, P(2)=150   If P(t)=2P0, then find t (in…

Q: Thanks to its environmental initiatives, Booneville has cut its annual CO2 emissions by 10%. This…

A: Given query is to find the CO2 produce after 3 years.

Q: The half-life of Sodium-24 is 14.96 hours. If a sample contains 490 mg, how many mg will remain…

A:

Q: In a laboratory, it was observed that a colony of bacteria increases at the rate of 30% per hour. If…

A: Given that: Rate of increase = 30%Original number of bacteria = 10000

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: The halflife of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain after…

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 a city was 75,000. The population had grown to 108,000 by 2010. If the…

A: Let t= number of years after 2000So, for 2010 , t= 2010-2000=10And for 2024 , t= 2024-2000=24