A quantity with an initial value of 480 grows exponentially at a rate such that the quantity doubles every 6 minutes. What is the value of the quantity after o.2 hours, to the nearest hundredth?

Q: 74 rabbits are released in an isolated area free of predators. After 2 years, it is estimated that…

A: Given, After 2 years, population of rabbit increased to 296 (74*4) , which is four times of initial…

Q: How many years will it take a $815 investment to be worth $1,392 if it continuously compound at 7%…

A:

Q: If $5000 is invested at 8% compounded continuously, what is the amount after 3 years? The amount…

A:

Q: Assume that the number of people infected by Covid-19 virus is growing exponentially. If the number…

A:

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

A: Given , Oscar invested amount 46,200 dollars .             Interest is 3.675% it is compound…

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

A:

Q: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day.  Use…

A:

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

A:

Q: If $7000 is invested at 7% compounded continuously, what is the amount after 7 years? The amount…

A:

Q: How much money invested at 5% compounded continuously for 3 years will result in $82

A:

Q: A quantity with an initial value of 5700 decays exponentially at a rate of 7.5% every 2 days. What…

A: Given data: The given rate is r=7.5%. The given time is t=2 days. The initial value is A=5700. The…

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: Suppose that the half-life of a cesium is 30 years. If there were initially 1000 g of the substance…

A:

Q: Suppose that $15,903 is invested at an interest rate of 5.2% per year, compounded continuously. a)…

A:

Q: A certain type of exponential growth can be described by the equation ,N = No10kt where No is the…

A: The exponential growth is described by the equation N=N010kt where N0 is the initial amount, k is…

Q: Use the exponential decay model, A = A0ekt, to solve. Round answers to one decimal place. The…

A: Let the exponential decay model be                           A=A∘ekt As given half-life of lead is…

Q: What is the half-life of tritium, which decays at a rate of 5.471% per year.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Suppose that $17,668 is invested at an interest rate of 6.1% per year, compounded continuously. a)…

A:

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

A:

Q: A culture of a certain bacterium grows according to the law of exponential growth. If there were 130…

A: 1. The exponential growth is given by the where N(t) is the no of insects at a time t .N0 is the…

Q: A sample of radioactive material decayed to half of its original amount in 4 years. How long did it…

A: Given: A sample of radioactive material decayed to half of its original amount in 4 years To…

Q: How long (in years) will it take a $300 investment to be worth $400 if it is continuously compounded…

A:

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

A:

Q: How many years will it take a $766 investment to be worth $1,147 if it continuously compound at 1%…

A: We know that when interest is compounded yearly then amount is given as: A=P1+rnnt where, P is…

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

A:

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: If $8000 is invested at 5% compounded continuously, what is the amount after 3 years? The amount…

A: According to the given information, it is required to calculate the amount after 3 years.…

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

A: The formula for Valium level a time t is given by N(t)) = N0 e-λt Given initial dose N0 = 20mg t1/2…

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

A: Answer

Q: If $500 is deposited in an account paying 8.3% annual interest, compounded continuously, how long…

A: We know that, the formula for continuous compounding is given by A=Pert            ⋯⋯1 Where, P =…

Q: In an effort to control vegetation overgrowth, 101 rabbits are released in an isolated area free of…

A: Initial population= 101  So the exponential equation is of the form: y=101(bx) Where x= number of…

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

A:

Q: A quantity with an initial value of 590 decays exponentially at a rate such that the quantity cuts…

A: A quantity with an initial value of 590 decays exponentially at a rate such that the quantity cuts…

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 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: 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: 2) During the exponential phase, E. coli bacteria in a culture increase in number at a rate…

A:

Q: If $8000 is invested at 6% compounded continuously, what is the amount after 2 years? The amount…

A:

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

A:

Q: Suppose that $19,419 is invested at an interest rate of 6.3% per year, compounded continuously. a)…

A:

Q: . How long, to the nearest year, will it take me to become a millionaire if I invest $1,000 at 10%…

A:

Q: If 8000 dollars is invested in a bank account at an interest rate of 9 per cent per year, compounded…

A:

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.

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…

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.