The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P, has doubled in 7 years, how long will it take to triple? (Round your answer to one decimal place.) X yr How long will it take to quadruple? (Round your answer to one decimal place.)

Q: The mass of a radioactive sample is given by M (t) = Mo10-k where t is the time in years, Mo is the…

A: Mt=M010-ktGiven that:M0=400 gM(t)=40 gt=10 yearsput all values in above equation and find 'k'

Q: Because of job outsourcing, a western Pennsylvania town predicts that its public school population…

A: Given,

Q: Suppose that copper is being projected to be extracted from a certain mine at a rate given by P'(t)…

A: Suppose that copper is being projected to be extracted from a certain mine at a rate given by

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

A:

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

A: Explanation of the answer is as follows

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

A: Assuming continuous compounding P=P0eKt P→Population at moment in time P0→initial Population…

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

A:

Q: The value of a computer t years after purchase is v(t) = 3000 e -0.35t At what rate is the…

A: Please see the answer in step 2

Q: If the growth rate of a culture of bacteria is proportional to the number of bacteria present. After…

A:

Q: The value of a computer t years after purchase is v(t) = 4000e , At what rate is the computer's…

A: we need to find rate of change with respect to time of v(t)

Q: The population of a bacteria culture grows at a rate of P = 100(2)n, where P is the population and n…

A:

Q: The population of a community grows in proportion to the population at any time t. Its initial…

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

Q: (a) In a certain culture of bacteria the rate of increase is proportional to the number present. (i)…

A:

Q: A bacterla colony starts with 20 bacterla and grows continuously at a rate of 28% per hour. a. How…

A:

Q: This question is regarding halfway decay,  Number of atoms of an isotope at time t ( in hours )…

A: Number of atoms of an isotope is decaying by f(t)=e-1.9t at time t. "t" represents in hours.…

Q: A certain drug breaks down in the human body at a rate of 12% per hour. The initial amount of the…

A:

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

A:

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

A:

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

A:

Q: If we put a cool object into a preheated oven, Newton's law of heating tells us that the difference…

A: Given: A potato initially has a temperature of 75 degrees and the oven is preheated to 375 degrees.…

Q: In a liquid culture, the number of bacteria grows at a proportional rate depending on the number of…

A:

Q: 1. If the growth rate of a culture of bacteria is proportional to the number of bacteria present.…

A: Given:  If the growth rate of a culture of bacteria is proportional to the number of bacteria…

Q: Q2) The doubling time for a certain virus is 3 yr. How long will it take for the virus to increase…

A: Since there is no mention of exponential growth or population growth rate, let us take the initial…

Q: It is estimated that t years from now, the population of a certain country will be P(t)=…

A:

Q: Suppose a population of fruit flies changes at a rate of g(t) = -4e0.041, in flies per day. If the…

A: Here we have a population of fruit flies that changes at a rate of g(t)=-4e0.04t…

Q: a) a sample of iodine-131 has a weight of 3 mg and a half life of approximately 8 days.  how much of…

A:

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

A:

Q: If the population of a certain county was 100,000 in 1998 and 110,339 in 2008 and the formula  y =…

A:

Q: Given that bugs grow at a rate of 0.95 with a volume of 0.002. How many weeks would it take to fill…

A: Solution : given, Rate of bugs growing = 0.95 bug/second volume of a bug =0.002 unit I) number of…

Q: A population of bees are dying at the rate proportional to the size of the initial hive, H(t), where…

A:

Q: ) An environmental study estimates that t years from now, the level of carbon monoxide in the air of…

A: Given that :-the level of carbon monoxide:Q(t)=0.01t3+0.1t+2.2 ppm.Q(5)=0.01(5)3+0.1(5)+2.2…

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

A: NOTE: Refresh your page if you can't see any equations. . the population growth function is given by…

Q: The population of a certain city is projected to grow at the rate given below. The rate is measured…

A: Given rt=6001+10t5+t2 where 0≤t≤5 Let Pt be the population at year t, then Pt=∫6001+10t5+t2dt Now,…

Q: past hobbits, the executive board of the oil company Denethor estimates that oil will be pumped from…

A:

Q: A city currently has 39,000 residents and is adding new residents steadily at the rate of 1500 per…

A:

Q: In a certain bacteria culture the rate of increase in a number of bacteria proportional to the…

A:

Q: The population of a certain inner-city area is estimated to be declining according to the model…

A: Given: The population decline of a certain city is given as, P(t)=580000e-0.022t t- Number of years…

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

A:

Q: A population of bees are dying at the rate proportional to the size of the initial hive, H(t), where…

A:

Q: Suppose that copper is being projected to be extracted from a certain mine at a rate given by P'(t)…

A:

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

A:

Q: The time required to double the amount of an investment at an interest rate r compounded…

A: Given that: The time required to double the amount of an investment at an interest rate r compounded…

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

A: Solution

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

A: Given: The population of a community is known to increase at a rate proportional to the number of…

Q: A certain population of rabbits grows proportionally to its size. If initially there are 1000…

A:

Q: 3. In a certain culture, the rate of growth of bacteria is proportional to the amount present. If…

A:

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

A:

Q: Solve the following: 1. In a certain culture of bacteria, the rate of increases is proportional to…

A: Let the number of bacteria present be x, then the rate of increase is given by x'(t). According to…

Q: The width of a rectangle is increasing at rate of 2cm/sec while the length increases at 3cm/sec. At…

A:

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

A: The question is related to application of differentiation. The solution is explained below.