Experimentally, the number of bacteria in cultivation duplicates for each hour. If there are 1000 UFC at the start of the experiment, find the formula that makes possible the prediction of the number of bacteria in any t instant.

Q: The rabbit population at the city park increases by 9% per year. If there are initially 289 rabbits…

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Q: A certain computer loses half of its value every two years. If the value of the computer after 3…

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Q: WThe half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: Given : The half life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a…

Q: Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The…

A: Given query is to find the time when rocket splash into the water.

Q: A bacteria population grows by 10% every 3 days. Based on this, if we initially have 2,000…

A: First of all we should know that the growth is exponential so formula will be: Nd = N0ekd where N0…

Q: A new water pump has a capacity of 60 m³/day. If its capacity goes down by 15% every year, in how…

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Q: Find a formula for the exponential function passing through the points (-1,-) and (1,8) y% =

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Q: If a piece of charcoal made from wood of a tree shows only 62% of the carbon 14 expected living in…

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Q: The count in a bateria culture was initially 300, and after 35 minutes the population had increased…

A: Given  Initially the count in a bacteria culture = 300 after 35 minutes the population had increased…

Q: A total of $50000 is invested, part of it at 5% and the rest at 7.5%. The totalinterest after one…

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Q: In the 2000 U.S. Census, a small city had a population of 40,000. By 2010, the population had…

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Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 94% of the…

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Q: The rate of fingernail growth depends on many factors, but in adults, nails grow at an average rate…

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Q: A small bank is trying to determine how many tellers to employ. The total cost of employing a teller…

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Q: The rate of fingernail growth depends on many factors, but in adults, nails grow at an average rate…

A: To determine the equation for the nails growth over the month

Q: It is projected that t years after 2010, the population of the United States will be…

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Q: Find a formula for the exponential function passing through the points (-2,-) and (1,10) y =

A: On solving this we will asume firstly general exponential function so  we will get

Q: Find a formula for the exponential function passing through the points (-3, 2 / 27) and (1, 6). y =

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Q: The number of iterations necessary to achieve

A: Given, Linear system whose exact solution is  with initial Gauss And We have to find the number…

Q: find the formula for an exponential funtion that passes through the two points given  (x,y)=…

A: Given  (x,y)= (0,6600) and (x,y)= (2,66)

Q: Find a formula in the form of f(x)=a(b)^x for the exponential function that passes through the two…

A: Consider the exponential formula Given that f(x) passes through the (0,2) and (3,432).

Q: The population of Weston is currently 7,000. But the population is shrinking according to the…

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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: In a particular very small region, the consumer price index, C, depends on the current value of…

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Q: A sample of bacteria is decaying according to a half-life model. If the sample begins with 500…

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Q: A saving account deposit of $150 is to earn 6.5% compound continuously. To the nearest year how many…

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Q: the population of a colony of mosquitoes obeys the law of uninhibited growth. if there are 1000…

A: The population of a colony of mosquitoes obeys the law of uninhibited growth. if there are 1000…

Q: At the beginning of an experiment, a scientist has 228 grams of radioactive goo. After 135 minutes,…

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

Q: A bacteria has an initial population of 200. If after 2hrs, its population is 10 times the original…

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Q: The population of a city is 89​,000. If the population grows continuously by 3.2​% per​ year, in how…

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Q: The count in a bateria culture was initially 100, and after 30 minutes the population had increased…

A: Consider the count of bacteria culture which was initially 100 and the population increased to 1900…

Q: In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had…

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Q: alf-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only…

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

A: Continuous compound interest formula: The amount in an account after t years at r rate is compounded…

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: The half-life formula is given by: y=a(b)th...(1) where y is the final amount, a is the initial…

Q: Find a formula for the exponential function passing through the points and (1,6) f(2) = Preview

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Q: A culture of bacteria has an initial population of 210o bacteria and doubles every 4 hours. Using…

A: given that : P0=2100d=4

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

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Q: Predict the price sold at auction of a dresser made in 1865 (round to the nearest dollar.) If a pair…

A: Introduction: The response variable is the price at which the dresser is sold at auction, Y, and the…

Q: Suppose a survey shows that a mayoral candidate is gaining votes at a rate of 2100t + 1500 votes per…

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Q: A person with a normal body temperature of 36 °C dies in an accident while traveling by car. The…

A: A person with a normal body temperature of 36 °C dies in an accident while traveling by car. The…

Q: When you put x =Sp, you find that Exponentialcumdist(s u, p) computes out to the same value no…

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Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 82% of the…

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Q: e number of years required for a $2000 investment to double at a 10% interest rate coumpounded…

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Q: Suppose a population of bacteria in a Petri dish has a doubling time of 6 hours. How long will it…

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Q: The population of certain species of bats doubles every five hours, initially there are 40 Båts (a)…

A: General formula for exponential growth is given by P(t)=P0ert. Since initially there are 40 bats…

Q: Find a formula for the exponential function passing through the points (-2,2/9) and (1,6)

A: Find a formula for the exponential function passing through the points -2,29 and 1,6. Let y=abx be…

Q: It is known that the number of trees in a small forest will decrease by 5% each year unless some new…

A: The number of objects at a time can be calculated by modelling an equation for the number of trees.…

Q: A radioactive substance is decaying according to the formula y = Be-0.02t , where y mg is the amount…

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Q: if $2000 is invested at 5%, compounded continuosly for t years, the value, A of the investment is…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.