A bacteria culture starts with 10 00 bacteria and the number doubles every 40 minutes.(a) Find a formula for the number of bacteria at time t.(b) Find the number of bacteria after one hour.(c) After how many minutes will there be 50 000 bacteria?

Q: A scientist puts 250 grams of radioactive radium having a half-life of 1690 years into a concrete…

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Q: A scientist has discovered a new strain of bacteria. The bacteria culture initially contained 1,000…

A: Given problem:- A scientist has discovered a new strain of bacteria. The bacteria culture initially…

Q: An amount of $120 is invested in a saving account that accrues 4.5% CCI. If after certain time, the…

A: Solution : We have given the initial amount invested that is $120 and interest rate is 4.5%. We…

Q: 1.) Kay invests $5,000 for years into an account compounded continuously at a rate of 4.5%. What is…

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Q: A certain type of bacteria has a doubling time of 25 minutes. If we start with a colony of 10, 000…

A: Formula for doubling time is as below : where, N0=initial value = 10000t = time td=doubling time =…

Q: The number of bacteria in a bowl increases at a rate of 20.8% per hour. There are currently 12…

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Q: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed…

A: Given that

Q: An element with mass 140 grams decays by 21.6% per minute. How much of the element is remaining…

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Q: suppose chad had 5000 to invest. if he invested 3000 at 5% interest at what rate would he have to…

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Q: 6000 is invested at 3% interest compounded continuously. Find the account balance after 3 years, to…

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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: The bacteria in an 11-liter container double every 2 minutes. After 50 minutes the container is…

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Q: A scientist puts 200 grams of radioactive radium having a half-life of 1690 years into a concrete…

A: Radioactive decay

Q: At 45°C, dinitrogen pentoxide (N2O5) decomposes into nitrous dioxide (NO2)and oxygen (O2) according…

A: According to the law of uninhibited decay, we have Nt=N0ekt Where N0 is the initial number of cells…

Q: The initial population of a town is 3200​, and it grows with a doubling time of 10 years. What will…

A: We have to solve

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: A company buys a machine for $475,000 that depreciates at a rate of 30% per year. Find a formula for…

A: Consider the following values:

Q: parents of a newborn decide to start saving early for her college education. On the day of her…

A: Please refer to the image below.

Q: A certain bamboo plant was measured to be 12 inches tall on Sunday. On Wednesday, three days later,…

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

A: Given that, the half life of radium is approximately 1690 years. Use the formula N=N012n to find the…

Q: Delta invested 25, 000 pesos in a bank that earns 2.5% annual interest compounded continuously. How…

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Q: small country emits 80,000 kilotons of carbon dioxide per year. In a recent global agreement, the…

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Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

A: Given information: Initial amount=Q0=7 mgHalf life=t12=5730 years

Q: How many arbitrary constant in a particular solution of degree 4 and order 3 ? 3

A: Given:      Particular solution of degree 4 and order 3.

Q: A population of deer contains 10 000 individuals. During a year, 5000 individuals are born and 4500…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The half-life of radioactive strontium-90 is approximately 31 years. In 1960, radioactive…

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Q: $2000 is invested at a rate of 8% coumpounded continuously. What is the amount at the end of 12…

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain…

A: Given: The half-life of Radium -226 is 1590 years.  Sample  = 500 mg  To find: How many mg will…

Q: In the formula A(1) = Pe" for continuously compound inter- est, the letters P, r, and i stand for.…

A: The given formula is At=Pert. Here,  P=Principal r=rate of interest t=time in years. At=Amount after…

Q: The initial population of a town is 121,473 and it grows with a doubling time of 55 years.What will…

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Q: How many years will it take a $766 investment to be worth $1,123 if it continuously compound at 6%…

A: Given Data: The initial investment is: P=$766 The final worth is:Pt=$1123 The continuously…

Q: half life of radium is 1690 years. if 60 grams are present now how much will be present in 300 years

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Q: An Egyptian papyrus is discovered and it is found that the ratio of 14C to 12C is 65% of the known…

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Q: If 12g of a radioactive substance are present initially and 9yr later only 6g​ remain, how much of…

A: As half the amount of the radioactive substance left after 9 years, thus it is clear that half-life…

Q: How long will it take 200,000 to increase by 80,000 if invested at 8% converted annually

A: Here in the given question:   Principal amount P = 80,000   Final amount (A) = 2,00,000   Interest…

Q: The half-life of radium-226 (   226 88    RA  ) is 1590 years.(a) A sample of radium-226 has a mass…

A: Given- t12=1590 years, intial amount=100mg To find-  (a)Find a formula for the massof   226 88    RA…

Q: (5) If Sandago has a present population of 70,000, and the population is increasing by 3% each year.…

A: Given that: Initial population of Sandago, Po=70000Rate of increase, r=3%

Q: A certain element decays at a rate of .000163/year. Of a piece of this element of 450 kg, how much…

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Q: (5) If Sandago has a present population of 70,000,and the population is increasing by 3% each year.…

A: Given problem is : (5) If Sandago has a present population of 70,000,and the population is…

Q: half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A: Given query is to find the the time taken to reduced the substance to 10 mg.

Q: The initial population of a town is 3300​, and it grows with a doubling time of 10 years. What will…

A: We will apply compounding formula to find population

Q: If 14 g of a radioactive substance are present initially and 8 yr later only 7 g​ remain, how much…

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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: Suppose that a bacteria population doubles every eleven hours.  If the initial population is 2,000…

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Q: If you invest $10,000 at 7.125% interest compounded daily, how long will it take for you to…

A: When the interest is compounded daily, then the formula used is , where, A is the final amount, P…

Q: Suppose you start with one liter of vinegar and repeatedly remove 0.07 L, replace with water, mix,…

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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: Suppose you start with one liter of vinegar and repeatedly remove 0.07 L, replace with water, mix,…

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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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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.