Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 8400. The number of fish grew to 620 the first year. a)Find an equation for the number of fish P(t) after t years P(t) = b) How long will it take for the population to increase to 4200 (half of the carrying capacity)? It will take years. You may enter the exact value or round to 2 decimal places. > Next Question

Q: At the beginning, an experiment records 1 gram of bacterial culture, and the culture's weight is…

A: we have to find weight at t=10 hr.

Q: A chemical factory tank stores an amount of liquid. After it has started to drain, it has a given…

A:

Q: An apple farm yields an average of 39 bushels of apples per tree when 21 trees are planted on an…

A: (1)  Given that, an apple farm yields an average of 39 bushels of apples per tree when 21 trees are…

Q: A population grows logistically. There were 5 000 individuals, after 10 days their number arose to 8…

A:

Q: A bacteria culture starts with 600 bacteria and doubles in size every half hour. Exercise (a) How…

A:

Q: A total of $27000 is invested, part of it at 12% and the rest at 13%. Thetotal interest after one…

A: Let $x was invested in 12% so (27000-x) was invested in 13% After one year interest from 12% account…

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

A:

Q: The decay equation for a radioactive substance is known to be y = y₀e⁽⁻.⁰⁵⁴⁺), t in days. About how…

A:

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: To four decimal places, approximate the solution to the equation: e3z +3 = 6

A:

Q: An apple farm yields an average of 42 bushels of apples per tree when 20 trees are planted on an…

A:

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

A:

Q: The current population of a threatened animal species is 1.7 million, but it is declining with a…

A: Given:  The current population of a threatened animal species is 1.7 million, but it is declining…

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

A:

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

A:

Q: A total of $15000 is invested, part of it at 8% and the rest at 11%. The totalinterest after one…

A: We are given, a total of $15000 is invested. Let us assume that x be the part which is invested at…

Q: „(For Paleontologists). From the STEM class of Mrs. Nataranta, three Grade-12 students shared their…

A:

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: After the release of radioactive material into the atmosphere from a nuclear power plant atChernobyl…

A:

Q: The gross domestic product, G, of Switzerland' was 685.4 billion dollars in 2013. Give a formula for…

A:

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: Solve manually using formulas. At an annual effective interest rate i, an investment of 1 unit…

A:

Q: Suppose that you currently own a clothes dryer that costs $30 per month to operate. A new efficient…

A:

Q: A squirrel starts the winter with a full supply of food stored. If, cach week, the squirrel eats 12%…

A: A squirrel starts the winter with a full supply of food stored.every week, the squirrel eats 12% of…

Q: A small newspaper company is downsizing and has lost employees at a steady rate. Twelve months ago…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: An investment grows from $10,240 to $10,700.80 in one year. If the investment continues to grow at…

A:

Q: In 2001, a sum of $3000 was invested at a rate of 6.5% per year for 18 years. a) Write an equation…

A: Since nothing is mentioned about the type of interest provided, lets assume it to be simple…

Q: The initial population of Sim City is 103 residents, and it grows with a doubling time of 2 hours.…

A:

Q: If sandago has a present population of 70000 and the population increase by 3% each year. What will…

A:

Q: Suppose Chad has $5000 to invest. If he invests $3000 at 5% interest,  at what rate must he invest…

A: Suppose Chad has $5000 to invest. If he invests $3000 at 5% interest

Q: For the years from 2002 and projected to 2024, the national health care expenditures H, in billions…

A: To find number of years from 2000 find value of t for:…

Q: Suppose chad has $5000 to invest. If he invest $3000 at 5% interest, at what rate must he invest the…

A: solution of the given problem is below...

Q: Due to the large number of human tourists and a declining food supply, the blue-footed booby…

A: a) Given that the half-life = 13.7 years So the fraction of the booby population that will remain in…

Q: The legs of an elephant are much thicker in proportion to its body than the legs of a mouse. This is…

A:

Q: how long will it take for her to have enough money for her project?

A: The compounded interest formula is expressed as A=P1+rnnt Where, P is initial amount, r is the…

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 half-life of a radioactive substance refers to the amount of time it will take for the quantity…

A:

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: a small town with a population of 35,110 in the northeast United States was approximately 0.75% per…

A:

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

A:

Q: The half-life of Fermium-253 is 3 days. If a sample initially contains 100 mg, how many milligrams…

A: Half-life Formula: Where,  N(t) = amount left after time t                N0 = Initial amount…

Q: An apple farm yields an average of 4040 bushels of apples per tree when 1818 trees are planted on an…

A:

Q: Amy has two options. She can invest $4000 at an annual rate of 6% compounded semiannually for 20…

A:

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

A:

Q: An apple farm yields an average of 41 bushels of apples per tree when 21 trees are planted on an…

A:

Q: A total of $⁢5000 is invested: part at 5% and the remainder at 15% How much is invested at each rate…

A:

Q: A population grows logistically. There were 5 000 individuals, after 10 days their number arose to…

A: Let P(t) denotes the number of individuals in the population after t days. Given that:      P(0) =…

Q: The half-life of a radioactive substance refers to the amount of time it will take for the quantity…

A: Assume the starting year to be 2015. According to the given information, N0=100t12=20