The doubling period of a bacterial population is 10 minutes. At time t = 110 minutes, the bacterial population was 60000. What was the initial population at time t 0?

Q: At the beginning of an experiment, a scientist has 284 grams of radioactive goo. After 270 minutes,…

A: We will solve the following.

Q: The growth model for a population of bacteria is given as P(t) = 50e2t where t is measured in days.…

A: Given: The growth model is  P(t) = 50e2t where t is measured in days. When P(t)= 25,000  find t

Q: Number of bacteria in a rapidly growing culture was estimated to be 10,000 at noon, 40,000 after…

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Q: The cost of certain piece of machinery is $ 700 and its value is depreciating with time according to…

A: We have to find the value after 6 years.

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: At the beginning of an experiment, a scientist has 252 grams of radioactive goo. After 120 minutes,…

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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: Hannah wants to have $6000 to help pay for a new deck in 10 years. If she wants to put her money…

A: Time has been valuable in all aspects but in terms of finance, time has a money value. The worth of…

Q: The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the…

A: Given:    Half-life of radioactive cobalt =5.27 years    The proportion p that remains after y years…

Q: Suppose $2000 is invested at 9% interest compounded continuously. How long will it take for the…

A: Given

Q: The doubling period of a bacterial population is 10 minutes. At time t = 120 minutes, the bacterial…

A: Given:The doubling period of a bacterial population is 10 minutesAt t=120 minutes , bacterial…

Q: Suppose $2000 is invested at 7% interest compounded continuously. How long will it take for the…

A: Given query is to find the time taken to reach the investment of 2000 to 10000 if compounded…

Q: At current growth rates, the earth’s population is doubling about every 69 years. If this growth…

A: Number  of years - To calculate

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

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Q: The population of an island grows at a rate proportional to its population. If the growth rate is 5%…

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Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 35e0.012,…

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

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Q: A sample from human remains found near Stonehenge in England shows that 71.2% of the carbon-14 still…

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Q: If a piece of machinery depreciates continuously at an annual rate of 4%, how many years will it…

A: To find: The number of years it will take for the value of machinery to halve. Concept used: The…

Q: Bethany needs to borrow $8,000. She can borrow money at 6.9% simple interest for 3 yr or she can…

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Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 25e0.00r,…

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Q: Lucy invested $6,000 into an account that earns 6% interest compounded continuously. Approximately…

A: Directly use the formula for compound interest.

Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

A: Given: y=y0e-0.0001216t

Q: The half-life of carbon-14 is 5730 years. A frozen human mummy was discovered in a glacier. It was…

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

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Q: At the beginning of an experiment, a scientist has 396 grams of radioactive goo. After 75 minutes,…

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Q: The doubling period of a bacterial population is 10 minutes. At time t=90 minutes, the bacterial…

A: Given the doubling time of a bacterial population t = 10 Using a formula P=P0 er t…

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: Consider an aquarium with a 75 gallon tank.  If the aquarium has a water pump that pumps water at a…

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

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Q: At the beginning of an experiment, a scientist has 388 grams of radioactive goo. After 150 minutes,…

A: Given data are: Initial amount of radioactive goo= 388 grams Amount of radioactive goo after 150…

Q: With a half life of 36 hours. Suppose a patient receives a  medication of 90 milligrams at midnight.…

A: A=A0e-ktAt t=36,A=A02A02=A0e-36kk=ln236A=A0e-ln236tA0=90At noon on first day…

Q: The half-life of radium is approximately 1690 years. A laboratory has 50 milligrams of radium. How…

A: Given the half life of radium is approximately 1690 years. To find: Time required to change radius…

Q: Find the balance if P50 , 000 is invested at an annual rate of 10% for 5 years compounded…

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Q: the number of bacteria in a certain population increases to a continuous exponential growth rate,…

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

Q: The growth rate of a certain strain of bacteria is unknown, but assumed to be constant. When an…

A: Given that the bacteria is growing at a constant rate. Initially there were 1500 bacteria and after…

Q: The doubling period of a bacterial population is 10 minutes. At time t = 100 minutes, the bacterial…

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Q: How long it will take $5,000 to be double, when invested at an annual interest rate of 4% if the…

A: Given query is to find the time taken toake an invy double when interest rate is 4% and compounding…

Q: If Tabitha has $1000 to invest at 6% per annum compounded semi annually, how long will it be for her…

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Q: Q1) The doubling time for a certain virus is 3 yr. How long will it take for the virus to increase…

A: Here we will find out the required value.

Q: Suppose $2000 is invested at 3% interest compounded continuously. How long will it take for the…

A: Initial amount = $2000Interest rate= 3% compounded continuously.=0.03 Future value= $8000

Q: The doubling period of a bacterial population is 1010 minutes. At time t=90t=90 minutes, the…

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Q: Penelope needs to borrow $9000. She can borrow the money at 6% simple interest for 5 yr or she can…

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Q: After 12 hours, half of a 16 gram sample of a radioactive element remains. Find the constant k for…

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Q: At the beginning of an experiment, a scientist has 268 grams of radioactive goo. After 180 minutes,…

A: We have to determine the equation for G(t) and remaining amount after 32 minutes.

Q: After 25 years, your savings account has now grown to $16,200 and has an interest of 6.1% that…

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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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