Wolves are released into the wilds of Virginia. The initial number of wolves is 200. Wildlife biologist have predicted that the carrying capacity of Virginia is 3,000 wolves and that their population should grow according to the logistics growth function. After 6 years, it is estimated that there are 400 wolves. How many wolves will there be after 15 years?  This is an exponential growth problem- use P(t)=L/1+be-kt to solve.

Q: A company is considering expanding their production capabilities with a new machine that costs…

A: The present value of that income stream is given by   PV=∫0TF(t) e-rtdtPV=∫068000…

Q: In the first six months of the 2014 Ebola outbreak, the total number of reported cases was…

A: There were 100 cases as of April 2014 and it increases continuously at the rate of 72% per month.…

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: if the population of Palestine is 6 million in 2020  with a growth rate of 3%/yr when it is expected…

A: Given: The population of Palestine is 6 million in 2020  with a growth rate of 3%/yr

Q: The half-life of caffeine in a healthy adult's bloodstream is 5.7 hours. Suppose Alex, a healthy…

A: For a exponential equation of the form, A=A'ekt, A' is initial value and k is growth rate.

Q: The​ half-life of a certain tranquilizer in the bloodstream is 37 hours. How long will it take for…

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Q: the population of a country was approximately 5.57 million and by 2097 it is projected to grow to 16…

A: The exponential growth model is defined by the equation, A=A0ekt Here t is the number of years after…

Q: How long will it take for an investment of $1000 to double in value if the interest rate is 8.5% per…

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Q: 1. Suppose a population of rabbits starts with 30 rabbits. 60 days later, the population is 120…

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Q: how long will it take an investment of $300 to triple, if the interest rate is 9.5% per year…

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Q: A company is considering expanding their production capabilities with a new machine that costs…

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Q: Heather wants to invest $35,000 of her retirement. She can invest at 4.8% simple interest for 20 yr,…

A: Simple interest is applied only on the principal amount every year. The interest amount accumulated…

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

A: Exponential Decay function Y = a(1-r)^t

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

A: topic - exponential function

Q: Use the exponential decay model, A = A, e kt, to solve the following. The half-life of a certain…

A:

Q: About the size of New Jersey, Israel has seen its population soar to more than 6 million since it…

A:

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

A: Given,          The population of bacteria cells in a dish decays exponentially at a rate of 5% per…

Q: How long does it take for an investment to double its value if the interest is 7.25% compounded…

A: we know for compound interest  A=P ert here A= compounded amount after time t years P = principal…

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: Find an exponential growth or decay model in terms of the number of time periods x. P(x) -

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Q: At current growth rates, the earth’s population is doubling about every 69 years. If this growth…

A: Number  of years - To calculate

Q: Miguel decides to invest some of his money in an account gaining 7% interested compounded…

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Q: a) The amount of antihistamine in the blood decays exponentially as the kidneys and liver do their…

A: Given: A(t)=A0(0.93)t A0=100%

Q: The population of an island grows at a rate proportional to its population. If the growth rate is 5%…

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Q: The population of minnows in the lagoon is 5,400, but the population will decay exponentially. If…

A: The formula for the exponential decay model is, y=C1-rt Here, y is the final amount C is the initial…

Q: A company is considering expanding their production capabilities with a new machine that costs…

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Q: A dog is anesthetized when its bloodstream contains at least 45 milligrams (mg) of the anaesthetic…

A: We can use exponential decay function to solve the problem

Q: Find an exponential decay function of the form Q(t)=Q0e^-kt for a person who just had 390mg of…

A: Given Q(t)=Q0e-kt

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

A:

Q: Jerome wants to invest $25,000 as part of his retirement plan. He can invest the money at 5.2%…

A: Given:

Q: Larry has $1600 to invest and needs $2700 in 17 years. What annual rate of return is required for…

A:

Q: A lab culture initially contains 500 bacteria. Two hours later, the number of bacteria decreases to…

A:

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

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

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Q: The population of a community is known to increase at a rate proportional to the number of people…

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Q: the number of bacteria in a certain population increases to a continuous exponential growth rate,…

A: NOTE: Refresh your page if you can't see any equations. . the given growth rate is  r=6.2%=0.062

Q: Dale has $1000 to invest. He has a goal to have $2500 in this investment in 11 years. At what annual…

A: Given: Dale has $1,000 to invest. He has a goal to have $2,500 in this investment in 11 years. Find…

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

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Q: Find the time required for an investment of $2500 to grow to $5500 at an interest rate of 5.4% per…

A:

Q: A lab culture initially contains 500 bacteria. Two hours later, the number of bacteria decreases to…

A: Given: B(0)  = 500, B(2) = 200, B = B0akt

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

A: Given,          An initial population of 32 grows exponentially at a rate of 50% per year.We know…

Q: We are modelling the spread of the zombie virus throughout our class, and notice that it grows…

A: a)  Exponential Function for the problem of virus spread    is given as ,…

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

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Q: 6.05% interest compounded continuously?

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Q: How long will it take to double your money if it is invested at a fixed interest rate of 6%…

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Q: How many years will it take $8,000 to grow to $12,900 if it is invested at 3.25% compounded​…

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Q: Joe scraped his knee after falling off his skateboard, leaving a wound with an area of 291 mm^2. The…

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Q: Scientists have observed that a small colony of penguins on a remote Antarctic Island obeys the…

A: We know that, P= P0ert where P is the population at time t. P0 is the initial population. r is the…

Q: How long does it take an investment to triple at an annual interest rate of 6.45% compounded…

A:

Q: How much must one invest today in order to receive $20,000 after 5 years if interest is compounded…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.