Suppose y = cekæ is an exponential function that has the points (3.1,4.8) and (14.3,16.6) on its curve. What is the growth rate k? Round to the nearest hundredth.

Q: How long will it take $1,400 to triple if it is invested at an annual interest rate of 5.9%…

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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: If the starting point is 30, and the growth rate is 15%, choose the exponential function.

A: To find the exponential function with the given data

Q: Suppose that the income stream of a business is 12000e0.02t dollars per year for 10 years. At an…

A: Given ft=12000e0.02t rate = r = 4%=0.04

Q: Assume that an investment is made at 7.1% per year, compounded continuously. What is the tripling…

A: The compound interest formula is defined as, A=P1+rnnt where: A: is final amountP: is principal…

Q: If $12, 000 is invested at a rate of 3% per year compounded continuously, find value of the…

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Q: Find a formula for the exponential function passing through the points (-2, 2/25) and (3, 250).…

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Q: How long, to the nearest year, will it take an investment to double if it is continuously compounded…

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Q: 5b. How long, to the nearest tenth of a year, will it take $8000 to grow to $16,000 at 8% annual…

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Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: We know that P(t)=N0λt Given P(0)=N0=593P'(t)=N0λtln(λ)P'(0)=N0λ0*ln(λ)       =593*ln(λ)

Q: How long will it take for an investment to triple, if interest is compounded continuously at 7%?…

A: We can find the answer as below.

Q: What is the exponential growth rate change of an investment that has a b=1.92?

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Q: Suppose y = ceka is an exponential function that has the points (0.3,5) and (12.9,18.7) on its…

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Q: 18. Suppose $7,800 is invested in an account at an annual interest rate of 4.3% compounded…

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Q: If $400 is invested at an interest rate of 4.5% per year, find the amount of the investment at the…

A: (a)Here the principal amount is P = $400, rate of interest r = 4.5%.Amount after t years which is…

Q: An investment is made at 3.931% per year, compounded continuously. what is the doubling time?

A: Given: Rate of interest, r=3.931% compounded per year. The objective is to find the number of years…

Q: (3) Suppose an experiment was conducted to identify the exponential growth model of a species of…

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

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

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Q: In the exponential growth or decay function, explain the circumstances that cause k to be positive…

A: One of the most prevalent applications of exponential functions involves growth and decay models.…

Q: Find the exponential growth equation for a population that doubles in size every unit of time and…

A: Given: At time, t=0, No. of individuals=20.

Q: Suppose the population of a college is 9,000 students on Jan. 1, 2000, and 20,000students by Jan 1,…

A: Given data is .  Population of students in college in jan. 1, 2000 A0=9000 Population of students in…

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: Suppose = ceka is an exponential function that has the points (1.7,6.8) and (12.7,12.6) on its = ce…

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Q: Suppose that f is an exponential function with percentage growth rate 3% and that f(0)=4. Find a…

A: Solution of the problem as

Q: Suppose that the town of Grayrock had a population of 10,000 in 2014 and a population of 12,000 in…

A: The exponential growth can be generalized as y=art where a represents the initial value, y…

Q: A population of bacleria is khown to grow exponentially where the population at time t, P(t), is…

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Q: Suppose that in 2020 the population of a certain country is 2 million and increasing with a relative…

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Q: How long will it take for an investment to triple, if interest is compounded continuously at 8%? It…

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Q: Suppose an investment of $29,000 is invested at an annual rate of 6.9%, compounded continuously.…

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Q: Find an exponential function with horizontal asymptote y = 4 whose graph contains the points (0,5)…

A: Given, horizontal asymptote y=4 (0,5) and (1,13)

Q: suppose $5000 is invested in an account at an annual interest rate of 3.7% compounded continuously.…

A: To determine the taken by an investment of $ 5000 to double.

Q: According to a September 9, 2007, article in ZDNet, the number of Facebook users "is growing at 3 to…

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Q: If $12, 000 is invested at a rate of 3% per year compounded continuously, find value of the…

A: The formula for continuously compounded interest is, A=Pert where P is the principal amount, r is…

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: Suppose $8000 is invested at 4% interest compounded continuously. How long will it take for the…

A: Given- P=$8000, r=4% and A=$16,000 To Find- The time that will it take for the above investment to…

Q: suppose $5,000 is invested in an account at an annual interest rate of 3.7% compounded continuously.…

A: Given,

Q: Suppose an investment of $24,000 is invested at an annual rate of 3.8%, compounded continuously.…

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Q: 16) How long, to the nearest year, will it take an investment to triple if it is continuously…

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Q: Find an exponential function that has y-intercept 6 and passes through the point (1, 8).

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Q: If $20,000 is invested at a rate of 5% per year compounded continuously, find the value of the…

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Q: Suppose that f is an exponential function with percentage growth rate of 7% and that f(0) = 2.…

A: To write the formula for function f(x).

Q: Suppose $2000 is invested at 3% interest compounded continuously. How long will it take for the…

A: Initial amount = $2000Interest rate= 3% compounded continuously.=0.03 Future value= $8000

Q: A population is now 3000 and is growing exponentiallywith a growth constant of .02, what will be the…

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Q: Suppose an investment of $9,000 is invested at an annual rate of 9.4%, compounded continuously. What…

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Q: In the exponential growth or decay function y = y0ekt, whatdoes y0 represent? What does k represent?

A: Given: Growth or decay function y=y0ekt To Find:  What does y0 and k reperesent?

Q: The population of California was 10.5 million people in 1950 and 37 million in 2010.  a. Assuming…

A: Given,         The population of California was 10.5 million people in 1950 and 37 million in 2010.

Q: Suppose y = ceka is an exponential function that has the points (3.1,4.8) and (14.3,16.6) on its…

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Q: If $20,000 is invested in a savings account offering 3.5% per year, compounded continuously, how…

A: We have to find how fast balance will grow per year after 4 year

Q: Find the associated exponential decay of growth model. Q = 1,700 when t = 0; half-life = 1.

A: The exponential decay of the growth model is Qt=Q0e-kt where k=ln 2Half life. Here, Half life=1…