A mathematical model for population growth over short intervals is given by P=P0ert​, where P0 is the population at time t=​0, r is the continuous compound rate of​growth, t is the time in​ years, and P is the population at time t. How long will it take a​ country's population to quadruple if it continues to grow at its current continuous compound rate of 0.77​% per​ year?       Substitute the given values into the equation for the population. Express the population at time t as a function of P0.   __P0=P 0e___ t ​(Simplify your​ answers.)

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Q: b) A certain radioactive material is known to decay at a rate proportional to the ам amount present…

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A: We have to find the time it takes for the population to quadraple.

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A: Given data is: Initial population P=1200 R=25% Time t=8 year

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A: Solution

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Q: A mathematical model for world population growth over short intervals is given by P P, e", where P,…

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Q: 3. The population of a community is known to increase at a rate proportional to the number of people…

A: Let initial population P0Population at time t is P.

Q: f) The population of a town grows at the rate of 3% per year (compounded continuously). How long…

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A: We have to find function

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Q: A certain drug is eliminated from the bloodstream with a half-life of 34 hours. Suppose that a…

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Q: A bank account earns 12% interest, compounded continuously, and has an initial balance of zero.…

A: Please check step 2 for the solution.!

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

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Q: 1) For a period of time, an island's population grows at a rate proportional to its population. If…

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Q: 5. The population of a community is known to increase at a rate proportional to the number of people…

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Q: At what nominal rate compounded continuously must money be invested to triple in 6 ​years?

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A: The radioactive substace decay equation is given byq(t)=q0e-0.0031t.........(1)where q0is the…

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A: This question is based on exponential decay.

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A: Given that, after 10 years, the initial amount is doubles, when the rate of interest r is compounded…

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A: Given that: P=the initial amount= 228 Time=t=135 minutes A=final amount= 3.5625 r=rate    Using the…

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A: Given: The half life of radium is 1590 years. Mass of the sample= 50 mg

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Q: 9. If you invest $2500 at 2.8% compounded continuously how much will you have at the end of 10…

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Q: 2. It is estimated that t months from now, the population of a certain town will be changing at the…

A: This question is related to population growth, We will solve it using integration.

Q: 2. The population of the earth was 3 billion in 1970 and was increasing at a rate of 2% per year.…

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Q: A certain drug is eliminated from the bloodstream with a half-life of 34 hours. Suppose that a…

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Q: radium decomposes at a rate proportional to the quantity of radium present. suppose that it is found…

A: Given the data :

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

Q: 1. The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Since you posted two questions here, i can answer only first one at a time. Please repost other…

Q: Following the birth of a​ child, a parent wants to make an initial investment P0 that will grow to…

A: detailed solution is given below

Q: At the beginning of an experiment, a scientist has 352 grams of radioactive goo. After 225 minutes,…

A: Consider that a scientist has 352 grams of radioactive goo. After 225 minutes, the sample decays to…

Q: Under laboratory conditions the half-life of ozone is approximately 25 hours. If Q = Qoekt is the…

A: Decay rate is value of k at which ozone decays. It can be easily found using initial condition

Q: How do I solve A=Pert, where P=$20, r=12%, t=3 years? $20 invested at 12% compounded continuously…

A: $20 invested at 12% compounded continuously after a period of 3 years.Calculate the Amount

Q: 3. What will happen to Joshua's money if his money will be 6.33% compounded continuously for 17.36…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 22. The half-life of radium-226 is 1620 years. a) If the current mass of a sample is 100 grams, what…

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Q: 2. At what rate of interest, compounded continuously will an investment double in six years? 3.…

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Q: How many years will it take for an initial investment of $20,000 to grow to $30,000? Assume a rate…

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Q: A radioactive element decays according to the function Q = Q, et, where Q, is the amount of the…

A: Given:     Q=Q0ert   where Q0 is the amount of substance at t = 0.       r=-0.00027  Q is the amount…