An extremely large flywheel in a generator is rotating at 1980 revolutions per minute at full power. When the power is discontinued, the speed of the wheel decreases exponentially (following the law of uninhibited growth and decay). After 8 minutes, the speed of the wheel is at 1564 revolutions per minute. Suppose it is safe for both the generator and personnel to manually stop the flywheel once the rpm's drop to 8 revolutions per minute. How long after the power was discontinued is it safe to manually stop the flywheel? Give at least 3 decimal places. Answer: It is safe after minutes.

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: A bank pays interest at a rate of 5%. What is the yearly multiplier if interest is compounded (a)…

A:

Q: Suppose a new mosquito-borne virus has emerged and has caused 550 cases to- date. The number of…

A: The exponential function of t is given below: A=A0e-ktWhere, k=rate, t=time

Q: A man invested 1000 dollars in an account. How long will it take before this investment will triple…

A:

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

A: We will solve the exponential model for the Aspirin decay

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

A:

Q: A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the…

A: Given growth rate = 2% Let current population be x So final population = 150% of x Continuous…

Q: -a) A population of bacteria grows exponentially cond their population doubles every 4.s hours. If…

A: The time taken by the bacteria to double its population is 4.5 hours. The initial population of the…

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

A:

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

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

A: We can make it easier for you.

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

A:

Q: This year there were 25,000 new births in a large county, but new births are expected to decay…

A:

Q: There are 5,000 wolves in the park, but their population is expected to decay at a rate of 8% per…

A: Given, initially , wolves in the park = 5000 Decay of population = 8% per year finally , wolves in…

Q: 2) Carbon-14 decays or emits a radioactive particle at a regular and consistent exponential rate and…

A:

Q: find the present value of 4,000 to be received in 5 years, if money may be invested at 7.1% with…

A:

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: 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: The count in a bacteria culture was 200 after 15 minutes and 1600 after 30 minutes. Assuming the…

A:

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

A: Given- There were 130 insects after the third day of the experiment and 380 insects after the…

Q: A certain tranquilizer decays exponentially in the bloodstream and has a half-life of 45 hours. How…

A: LetA0=100h=45 hrsA(t)=93We know thatA(t)=A0(12)th 93=10012t45Taking ln on both…

Q: How many years are required for an investment to double in value if it is appreciating at the yearly…

A: The final amount when it is compounded continuously is given by  A=P0ert Where r = interest rate…

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

A: Topic = Algebra

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

A:

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…

A:

Q: How long will it take for $8400 to grow to $14,600 at an interest rate of 9.4% if the interest is…

A:

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: The count in a bateria culture was 500 after 15 minutes and 1100 after 30 minutes. Assuming the…

A: Aim:  To find the expression for the bacteria count N(t) as a function of time 't' (in minutes).…

Q: How long will it take a $500 investment to be worth $700 if it is continuously compounded at 10% per…

A:

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: count in a bacteria culture was 700 after 15 minutes and 1000 after 35 minutes. Assuming the count…

A: We need the exponential growth formula :                                 N(t) = N0 ekt ,…

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: Some populations, such as bacteria, can be expected under the right conditions to show exponential…

A:

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

A:

Q: The growth rate of a certain strain of bacteria is unknown, but assumed to be constant. When an…

A: Given that the bacteria is growing at a constant rate. Initially there were 1500 bacteria and after…

Q: alf-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only…

A:

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

A:

Q: How many years will it take $6,000 to grow to $10,400 if it is invested at 4.75% compounded…

A:

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

A: we have to slove the above question

Q: An experiment compares two bacterial cultures, both growing exponentially. Culture A begins with…

A:

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

A:

Q: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

A: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

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

A:

Q: In 2013, the population of a colony is 18500, and is increasing exponentially at a rate of 10.7% per…

A:

Q: How long (in years) will it take a $900 investment to be worth $1000 if it is continuously…

A: Amount = $1000 Principal=$900 Interest rate = 8%

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

A: