A culture of 200200 bacteria growing in a Petri dish doubles in size every 33 hours.  The number of bacteria, AA, can be modeled by the exponential equation A=P(2)t3A=P(2)t3, where PP is the initial amount and tt is the time in hours. How many hours will it take for the number of bacteria to reach 1,000,0001,000,000?  Express your answer rounded to the nearest whole number.

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

A: ount of asprin decays exponentiallyf(t) = Ae-ktat t = 0 ,   300 = Ae0⇒ A = 300

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

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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: function

A: We have to find the inverse of the given exponential function

Q: Find a formula for the exponential function passing through the points (-3, 5/8) and (2, 20). y =

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

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Q: Find a formula for the exponential function passing through the points (-2, ) and (2,32) y =

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Q: The equation y=5x+3 describes an exponential function. How is it related to the exponential function…

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Q: Find a formula for the exponential function passing through the points (-3, ) and (3,250) 125

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Q: Beginning on January 1, 2000, the populations of wolves and rabbits in a certain forest both grew at…

A: According to question,Given dataInitial population of wolves = 65,Rate of increasing Wolves by 25%…

Q: For an exponentially growing quantity that grows at a rate of 4.0% per year, approximate the number…

A: topic - exponential function

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

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Q: To qualify for the interest-free loan, she must make monthly payments of $150 into an account that…

A: An exponential equation is an equation which consists the variable in powers. Like: 2x=4, in this…

Q: Find a formula for the exponential function passing through the points (-1,5252) and (2,20) y= ?

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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: Find a formula for the exponential function passing through the points (-3, 2 / 27) and (1, 6). y =

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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 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: If a population has a growth rate of 7.5% per year, how long to the nearest tenth of a year will it…

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Q: After a large number of drinks, a person has a blood alcohol level of 140 mg/dL (milligrams per…

A: Given:Initial blood alcohol level is 140 mg/dL             And one fourth is removed every hour To…

Q: An investment grows from $10,240 to $10,700.80 in one year. If the investment continues to grow at…

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Q: A culture of 200 bacteria growing in a Petri dish doubles in size every 3 hours.  The number of…

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Q: The City of Dallas had a population of 1,270,000 in 2010, and a population of 1,560,000 in 2020. It…

A: According to question given thatThe city of Dallas had a population of=1,270,000 in 2010And a…

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

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Q: After a large number of drinks, a person has a blood alcohol level of 200 mg/dL (milligrams per…

A: Solution

Q: Choosing to commute to work by driving a hybrid vehicle will save $280 every six months in fuel. If…

A: Consider the given: If money is worth 7.3% compounded semi-annually, it means that the cost of money…

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: You decide to invest $250 in an account that yields a return of approximately 4% each year. If yo…

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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: 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: The half-life of a radioactive substance refers to the amount of time it will take for the quantity…

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Q: Find the exponential equation whose graph passes through the points (-2,) and (3,250) 25 y =

A: The exponential equation whose graph passes through the points -2,225 and (3,250).

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: 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: The population of the world in 1987 was approximately 5 billion and the annual growth rate was…

A: Given data: The population of the world in 1987 is P0=5 billion. The annual growth rate is…

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: A scientist discovered a new material that expands at an extremely fast rate. After studying…

A: We have to use exponential growth function to solve the problem

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

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Q: The ________ Property can be used to solve simple exponential equations.

A: The Logarithmic Property can be used to solve simple exponential equations.

Q: Find a formula for the exponential function whose graph is below: y 18 (2, 8) х

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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: Find a formula for the exponential function passing through the points (-2, and (2, 32). y =

A: Topic- exponential function

Q: A scientist begins with 100 mg of a radioactive substance that decays exponentially. After 35…

A: It is given that 50 mg of the substance remains after 35 hours. SO half of the substance remains…

Q: The half-life of a radioactive substance refers to the amount of time it will take for the quantity…

A: Assume the starting year to be 2015. According to the given information, N0=100t12=20

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)