A quantity with an initial value of 5700 decays exponentially at a rate of 7.5% every 2 days. What is the value of the quantity after 234 hours, to the nearest hundredth?

Q: Write the equation of an exponential function with an initial value of 7 and a decay factor of 0.27

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Q: The population of bacteria cells in a dish grows exponentially at a rate of 5% per hour. If there…

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Q: 10. Oscar invests $46,200 in an account that earns 3.675% interest, compounded continuously. How…

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Q: If a certain substance exponentially decays from 100 grams to 20 grams in 3 years. How much of the…

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Q: A quantity with an initial value of 480 grows exponentially at a rate such that the quantity doubles…

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Q: The population of a town is 2,500 people, and is decreasing at a rate of 3.5% per year. Write an…

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A: topic - exponential function

Q: A culture of bacteria obeys the law of natural exponential growth. If 140,000 bacteria are present…

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A: First form the differential equation than solve it.

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Q: A quantity with an initial value of 980 decays exponentially at a rate of o.3% every decades. What…

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Q: Eli invested $9,400 in an account paying an interest rate of 2.3% compounded continuously. Assuming…

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Q: sample of a radioactive isotope had an initial mass of 490 mg in the year 1995 and decays…

A: Given: Initial mass of the isotopes in the year 1995 is 490 mg.            In 1998, sample's mass…

Q: Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5%per year.  To use a…

A: Given :-  Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5 % per…

Q: The population of an Ontario town grew from 1250 to 10,000 in 5 years due to the establishment of a…

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

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Q: How long to the nearest year will it take $50,000 to triple in values at7.5% annual interest…

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

A: Topic = Algebra

Q: A wooden artifact from an ancient tomb contains 55 percent of the carbon-14 that is present in…

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Q: What is the exponential growth rate of a virus if initially 209 people in a state tested positive…

A: Answer

Q: If $4000 is deposited in a savings account that earns interest at an annual rate of 7.5% interest…

A: NOTE: Refresh your page if you can't see any equations. . here we have,  P=4000 r=7.5%=0.075 t=4…

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: A scientist begins with 450 grams of a radioactive substance. After 55 minutes, the sample has…

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

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Q: A quantity with an initial value of 2000 grows exponentially at a rate of o.35% every 2 days. What…

A: Given, A quantity with initial value of 2000 grows exponentially at a rate of 0.35 % every 2 days We…

Q: The value of a savings bond is growing by 2.8% per year compounded continuously. At this growth…

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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: The population of a new city started at 1,200; however, it grew at a rate of 2% each year. Express…

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Q: A radioative substance decays exponentially. A scientist begins with 150mg of a substance. How many…

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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: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

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Q: The drug Valium is eliminated from the bloodstream exponentially with the half-life of 36 hours.…

A: Given,

Q: An element with a mass of 120 grams decays by 27.5% per minute. What is the exponential equation…

A: Let us suppose that the initial mass of the element is M0 Let the mass after time t minutes be Mt…

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

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Q: If an initial population of 32 grows exponentially at a rate of 50% per year, then what will the…

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Q: A house purchased for $20,000 at an interest rate of 2% and was just sold for $60,000. Assuming…

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Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

A: to solve the given problem

Q: A quantity with an initial value of 510 grows exponentially at a rate such that the quantity doubles…

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Q: A population is now 3000 and is growing exponentiallywith a growth constant of .02, what will be 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: The median household income (adjusted for inflation) in Seattle grew from $42,500 in 1990 to $75,200…

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Q: If an account with initial amount of 2000 dollars earns 10% interest compounded continuously, how…

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Q: A quantity with an initial value of 390 decays exponentially at a rate of 8.5% every 9 weeks. What…

A: We give the change of the quantity as a function of time as y(t)=390 e-0.0859t where t is in weeks.

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.