Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5%per year.  To use a general exponential model to find the value of the dollar at some future time compared to its present value, you would set r to

Q: A population numbers 1,650 organisms initially and increases by 6.8% each year. Suppose P represents…

A: The general form of exponential model is, P=P01+rt where, P0 is initial amount, r is rate of growth,…

Q: A savings account has an initial balance of $1,000 and earns 3 percent interest compounded monthly.…

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Q: The production of an oil well has decreasedexponentially from 128,000 barrels per year 5 years ago…

A: The exponential equation for decay is given by :- y=Abt   ...(i) , where A = initial value, b =…

Q: A principal amount of $7,460 is placed in a savings account with a 4.29% annual interest rate,…

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Q: Interest is compounded continuously at 5%.  How long until a $5000 investment grows to $12000?

A: Interest is compounded continuously at 5% $5000 investment grows to $12000

Q: An ant colony is growing 28% per day. A. Is the model for this growth linear or exponential? B. Set…

A: It is given that the colony is growing 28% per day. That is, the value of an ant colony is growing…

Q: If the number of bacteria in a colony triples every 60 minutes and the population is currently 2,000…

A: Initial population= 2000 Growth factor = 3 Tripling time = 60 minutes  So the exponential model is…

Q: A 2019 Jeep Wrangler had a new vehicle purchase price of $30,800, now has a book value of $24,500…

A: The initial price (t=0) of Jeep Wrangler in 2019 is $30,800. After 2 years, its price is $24,500.…

Q: In 2013, the moose population in a park was measured to be 5,600. By 2017, the population was…

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Q: Suppose that 30 fruit flies are placed in a breeding container that can support at most 3000 flies.…

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Q: The value of a certain rare silver dollar was $40,000 in 1980. A price history of the silver dollar…

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Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

Q: A popular social media platform has begun offering stock shares to the public. In the past 2 years,…

A: Here, given that the data is exponentially distributed. The exponential model is given by, y= a*bx…

Q: A population of 15,000 small deer in aspecific region has grown exponentially to 17,000 in 4 years.…

A: We know that exponential equation to express the population growth is, y=y0ekt Where y0 is initial…

Q: A population numbers 20,000 organisms initially and decreases by 3% each year. Suppose P represents…

A: We can find the exponential model in the following steps.