If the present population (x = 0) is 9000, what population size is expected in 144 years?

Q: If $4,000 is invested at 7% compounded continuously, how long will it take for it to grow to $6,000,…

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Q: Radiocarbon C14 has a half-life of 5730 years. How many years will it take for 26%of a sample of C14…

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Q: If the population of a small city is 45,000. If the population grows continuously by 5% per​ year,…

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Q: Since the data obtained as a result of 5 observations of an experiment is ∑ log Xi = 6.27, what is…

A: n = 5 ∑ log Xi = 6.27 We have to find the geometric mean.

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

A: Continuous growth model is  P = P0.ert where P0 = initial population and.    P = final population…

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Q: If half a certain amount of radium decays in 1600 years. What percentage of the original amount will…

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Q: Suppose a population grows according to a logistic model with initial population 500 and carrying…

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

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Q: A culture of bacteria obeys the law of natural exponential growth. If 140,000 bacteria are present…

A: We can make it easier for you.

Q: Find the present value of $2000 to be received in 10 years, if money may be invested at 8% with…

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Q: There are 5,000 wolves in the park, but their population is expected to decay at a rate of 8% per…

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Q: Assume that the component failure rate is A1=0.001 per hour and the voter failure rate is 2-0.01 per…

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Q: 2. Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

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Q: An initial population of 8,000 decays for two years until the population is 500. By what percentage…

A: Given-  An initial population of 8,000 decays for two years until the population is 500. To…

Q: Suppose a population grows according to a logistic model with initial population 1000 and carrying…

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Q: A culture of a certain bacterium grows according to the law of exponential growth. If there were 130…

A: 1. The exponential growth is given by the where N(t) is the no of insects at a time t .N0 is the…

Q: If inflation grows continuously at a rate of 6% per year, how long will it take for $8 to lose half…

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Q: If the present value of $1000 to be received in 5 years is $548.80, what rate of interest,…

A: Given values Present value, P=$1000 time, t=5 years Amount, A=$548.80 For calculating rate of…

Q: If Sandago has a present population of 70,000 and the population is increasing by 3% each year. 1.…

A: The function that models the population at time t is given by, Pt=P0ert, where P0 is the initial…

Q: A scientist wants to determine the halflife of a certain radioactive substance. She determines that…

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

A: In this question we have to find how many hours does it take for the size of the sample to double.

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

A: Topic: percentage

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Q: According to the National Statistics Office report, The Philippines has a total population of…

A: The Malthusian Model is given by  Pt=P0ert Where P0=P0 is the initial population size. r: Population…

Q: Suppose you have 100g of Titanium-44, which has a half-life of 63 years. After how long will only 1g…

A: Initial amount=P=100  Half life= H= 63 years  Final amount= A= 1  Time= t years Using the half-life…

Q: How long will it take for 1000 to decay to 500 with a loss of 3% a year (approximate historical…

A: Given : Initial value = 1000 Final value = 500 Loss is 3% per year Apply the exponential decay…

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

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Q: If the population of a small city is 55,000. If the population grows continuously by 5​% per​ year,…

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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: Suppose a population grows according to a logistic model with initial population 200 and carrying…

A: The logistic differential equation is dPdt=kP1-PL, where L is the carrying capacity. The solution of…

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

A: Doubling time is the amount of time it takes for a value or quantity to double in size whenever the…

Q: Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

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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: What is the law of exponential change? How can it be derived from an initial value problem? What are…

A: To define the law of exponential change and derive it from initial value problem.

Q: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

A: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

Q: Suppose a city with population 100,000 has been growing at a rate of 8​% per year. If this rate​…

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

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

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Q: 2. The population of a suburb doubled in size in an 18-month peri growth continues and the current…

A: In this question we will use basic of calculus i.e application of differential equation. We will…

Q: If the half-life of a radioactive substance is 7,300 years, then at what rate is it decaying? (Hint:…

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Q: If a population of is becoming extinct and the population is decaying exponentially. Assume that…

A: From given information

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!