The population of bacteria cells in a dish grows exponentially at a rate of 5% per hour. If there are 100 cells now, then how many cells will there be after 6 hours?

Q: If the population of a certain city was 100,000 in 1996 and 110,381 in 2006, and if the population…

A: Given that: Population of city = 100, 000 in 1996 and Population of city = 110, 381 in 2006. Also,…

Q: A population grows exponentially at the rate of 1.85%. How long will it take the population to…

A: Population growth formula:    P = (Po).er*t P = population after time t Po = starting population r =…

Q: The population of the city is declining according to the exponential law. if the population went…

A: To find the population in 2022

Q: Jane currently pays a $723 premium for health insurance. If the premium increases at a rate of…

A: P= pert

Q: An investor bought stock for ​$20,000. Five years​ later, the stock was sold for ​$40,000. If…

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Q: Find a formula for the exponential function V=h(t) that gives the value of an item initially worth…

A: Find a formula for the function exponential function v=ht that gives the value of item initially…

Q: An account now contains $3,670 and has been accumulating interest at 5% annual interest, compounded…

A: We have to find the amount in the account 5 years ago.

Q: Kathy bought a car for $21,000, and each year it depreciates at a rate of 12%. Write an exponential…

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

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Q: A population is growing exponentially with growth constant .04. In how many years will the current…

A: Exponential model is Pt=P0ekt Where Pt=Population at any time 't' P0=Initial population t= time…

Q: If you need $400,000 in 18 years for your child's college, how much should you invest TODAY at 2.1%…

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Q: The population of a southern city follows the exponential law. If the population doubled in size…

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Q: If the population of a certain city was 100,000 in 1996 and 110,643 in 2006, and if the population…

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Q: A Bank offered 1 3/4% interest on savings accounts compounded continuously. How much is a $5000…

A: The formula used for evaluating the amount accumulated on the amount saved in the bank compounded…

Q: A colony of fruit flies is growing according to the exponential law P(t) = P0ekt, and the size of…

A: Given: P(t)=P0ektwhen t=9, then P(t)P0=2

Q: How many years will it take for an invested amount of money to double its value when invested at…

A: If the interest is compounded continuously, then the formula: A=Pert is used. Here, A is the final…

Q: A city had a population of 10,000 in 2000 and a population of 12,000 in 2020. If its population…

A: Given that, A population of 10,000 in 2000 and a population of 12,000 in 2020. Calculate the…

Q: The population of a certain community follows the law of exponential change. If the present…

A: Topic = Algebra

Q: suppose that the half-life of a cesium in 30 years.if there were initially 1000g of the substance.(…

A: The radioactive decay is modelled using the formula: N(t)=N0e-kt, where N0 is the initial amount and…

Q: Suppose that the town of Grayrock had a population of 10,000 in 2014 and a population of 12,000 in…

A: The exponential growth can be generalized as y=art where a represents the initial value, y…

Q: A scientist runs an experiment involving a culture of bacteria. She notices that the mass of the…

A: Given Mass of the bacteria in the culture increases exponentially with the mass increasing by 241%…

Q: A retirement savings plan pays 4.5% interest, compounded continuously. How long will it take for an…

A: Given: A retirement savings plan pays 4.5% interest, compounded continuously. To find: Time in which…

Q: The size of a threatened population of bottlenosed dolphins is decaying exponentially with a…

A: To find out the population after 9 months.

Q: The initial size of a bacteria culture that grows exponentially was 10,000. After 1 day, there are…

A:

Q: It is known that a certain kind of algae in the Dead Sea can double in population every 3 days.…

A: Given:  The population doubles every 3 days.  Initial population = 2,000,000 To find:  a) How long…

Q: The population of a southern city follows the exponential law. If the population doubled in size…

A: The exponential equation for finding doubled the population is,

Q: Suppose that in 2020 the population of a certain country is 2 million and increasing with a relative…

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Q: How long does it take for 1,000 to double when compounded continuously with an interest rate of 2.4%

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Q: Someone notices that the number of gopher holes in their yard seems to be increasing exponentially.…

A: This is a exponential growth rate problem

Q: Suppose a population of insects increases according to the law of exponential growth. There were 130…

A: Since the population increases by law of exponential growth.

Q: Assume that an insect population grows according to the law of exponential growth. After the third…

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Q: If the population of a country is 100 million people and the population is increasing exponentially…

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

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Q: Write an exponential function for a population of 15,000 grows continuously at a rate of 2.5% per…

A: In this question, we need to find the exponential function for a population of 15,000 grows…

Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

A: Exponential functiony= a bx a is the initial population

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

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Q: Mariah is investing $40,000 in a bond that pays 2.3% interest compounded continuously. How much will…

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Q: How long it will take $5,000 to be double, when invested at an annual interest rate of 4% if the…

A: Given query is to find the time taken toake an invy double when interest rate is 4% and compounding…

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: For a certain patient, a dose of Acetaminophen decays exponentially in their blood stream with a…

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Q: 2. Suppose a population of insects grows exponentially, there were 130 insects after the third day…

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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: How long will it take a $600 investment to be worth $700 if it is continuously compounded at 11% per…

A: Write the continuous compound interest formula,

Q: It is known that a certain kind of algae in the Dead Sea can double in population every 5 days.…

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Q: It is known that a certain kind of algae in the Dead Sea can double in population every 3 days.…

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Q: balance

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Q: A particular city had a population of 23,000 in 1910 and a population of 28,000 in 1950. Assuming…

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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.