Suppose a population can be modeled by P(t) = %3D 200(1.052)*, where P(t) is in thousands and time is in years since 2000, how fast is the population changing in 2013?

Q: suppose the population of a certain bacteria in a laboratory sample is 100. if it is doubles in…

A: Given: The population of a certain bacteria in a laboratory sample is 100 and it is doubles in…

Q: Find the interest earned at 5% compounded continuously for 2 years by a continuous income stream…

A: Given the interest earned r=5%=0.05 , t=2years and PV=1250. We have to find the interest.

Q: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

A: Population decay

Q: A certain radioactive material decays at a rate proportional to the amount present. At time ?=0,…

A:

Q: The radioactive isotope of lead Pb-209, decays at a rate proportional to the amount present at any…

A: The differential equation for decay is dAdt=kA dAA=k·dt ⇒∫dAA=∫k·dt⇒lnA=kt+c1A=ekt+c1A=ektec1A=Cekt…

Q: d) A population of 100 bacteria decays at a rate of 5% each day How many bacteria, y, will there be…

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Q: A certain radioactive element decomposses at a rate proportional to the amount present. If 100…

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Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: The initial population of the bacteria is, P0=100. After every t=6, the population doubles. So, the…

Q: A quantity with an initial value of 840 decays continuisly at a rate of 5% per day. What is the…

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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: What rate of interest compounded continuously will yieldan effective interest rate of 6%?

A: It is given that, the effective interest rate is 6%. re=6%=0.06

Q: How long does it take for $350 to grow to $840 at 6% annual percentage rate compounded continuously…

A: Continuously compounded interest formulaA= PertP = the initial principlee = natural baser = annual…

Q: At the time of the birth of a child, a parent wants to begin a college fund that will grow to $43000…

A: Given that the interest is compounded continuously

Q: How long will it take to triple $12000, invested at 4.5% compounded continuously? (A = Pe*t) %3D

A: We are given the initial value to be $12000 and rate r = 4.5% = 0.045. Now, we need to find that how…

Q: Today there are 500 ants on an colony. They breed with a constant continuous growth rate of 20% per…

A: We will find out the required solution.

Q: How long would it take for a principal ofP to double if invested at 7% compounded continuously?

A: Given, for a principal of P to double if invested at 7% compounded continuously.

Q: The city of San Estaban had a population of 45,000 in 2015 (t=0) and was growing continuously at an…

A: Initial population =45000 Growth Rate=3%=0.03 At 2016, t=2016-2015=1 So the population in 2016 is:

Q: What happens to the rate of change of the exponential function y = ax as a becomes larger?

A: To explain the given problem

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: At what rate is the production of fish changing with respect to time 5 months from now?

A: Given Data: Production of pounds of fish per month is: QK=109K13 ......1 Total investment is:…

Q: A radioactive substance decays at a rate proportional to the amount present ( y(t) = yoe-rt ) If 40%…

A: let the amount of radioactive material be x, and Given that…

Q: A certain radioactive material is known to decay at a rate proportional to the present amount. If…

A:

Q: The radioactive isotope lead has a half-life of 3.3 hours and decays at a rate proportionate to the…

A: This is a problem of differential equation and integration. Based on the given scenario first of all…

Q: Suppose there is one pupil in a class of 60 who was infected by the Influenza B virus. Assuming none…

A: The logistic growth equation here is: P(t)=P0e0.7050t Where, P is the number of students inflected…

Q: A continuous income stream has an annual rate of flow at time t given: f(t)=9000e^(0.12t)…

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Q: The population of Northern Cascadia is growing at a rate of 20% every 3 years. Assuming that it…

A: Topic: percentage

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 environmental study of a certain community suggests that t years from now the level L(t) of…

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Q: A mold population is growth at 8% every three months. If there is initially 3 cm3 of mold, when will…

A: Formula for population growth is  P=P0ert where P = final population after time t P0 = initial…

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A:

Q: A radioactive substance has a decay rate of 4% per hour. If 1000 grams of the substance are present…

A: It is given that,a radioactive substance has a decay rate of 4% per hour. If 1000 grams of the…

Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: We have to find the growth rate.

Q: An Asian country had a population of about 0.90 Billion people in 1995 and a growth rate of 1.3% per…

A: *** This is the problem related to financial mathematics and we are advanced math expert and have…

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Of the 1000…

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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: An environmental study of a certain community suggests that t years from now the level of carbon…

A: Let's find.

Q: A breeder reactor converts relatively stable Uranium 238 into the isotope Plutonium 239. After 15…

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Q: 2. How long will it take you to get ten times your money at 2% interest compounded continuously.

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Q: A bacterial colony is rapidly expanding. It has 10 bacteria at time t=0 and 2000 bacteria at time…

A: As per our guidelines we only solve first question and rest of the question will be reposted.

Q: If a new car is valued at $20,600 and 8 years later it is valued at $3000​, then what is the average…

A: Given that the value of a new car is $20,600 and 8 years later it is valued $3,000.The initial value…

Q: Suppose you invest $2000 at a rate of 3.25% continuously, what is the worth of the investment after…

A: Given that P = $2000  rate of Interest = 3.25% continuously, we have to find what is the worth of…

Q: Suppose that the amount of water pumped from a water well decreases at a continuous rate of 10% per…

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Q: Suppose that a population in a particular city is 46,581 in 2010. What is the population after 15…

A: The population growth is modelled using the equation: N(t)=N01+rt, where N0 is the initial…

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: In the 2000 U.S. Census, a small city had a population of 55,000. By 2010, the population had…

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Q: The number of bacteria in a certain population increases according to a continuous exponential…

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Q: A money market fund has a continous flow of money at a rate of f(x)=0.07x+700 for 10 years. Find the…

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Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: The decay rate is proportional to the amount present. So, dNdt=-λN⇒dNN=-λdt⇒∫dNN=-λ∫dt+C⇒ln…

Q: Suppose a population can be modeled by 50 P(t) = where time is in years since 2005. (1+75e--5t)…

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Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

A: Given- Half life t12 =3.3 hours, Intial weight=1 gm. To find- The time in which the radioactive…