Population of cats grows exponentially. The current population is 85 cats, and the relative growth rate is 18% per year. Find number of cats after 3 years. O 144 O 142 O 136 O 139 O 146

Q: An initial population of 745 quail increases at an annual rate of 16%. Write an exponential function…

A: using exponential function to model the quail populationfinal population=initial…

Q: A radioactive substance decays exponentially. A scientist begins with 140 milligrams of a…

A: Exponential decay model:- x(t)=Ce-ktwhere x is the amount of substance at time tk is the rate of…

Q: In 2012, the population of a city was 6.78 million. The exponential growth rate was 2.42% per year.…

A: a) Given growth rate = 2.42%= 0.0242  So growth factor = 1+0.0242=1.0242 Initial population = 6.78…

Q: At the start of a zombie apocalypse, 6 people are initially infected.  After 10 hours, the number of…

A: Option A is the correct choice. Assume the exponential growth function and determine the growth rate…

Q: A radioactive substance decays exponentially. A scientist begins with 180 milligrams of a…

A: Given:- A radioactive substance decays exponentially. A scientist begins with 180 milligrams of a…

Q: 2) A bacteria culture which started at 2, 000 became 6, 000 after 4 hours. After how many hours will…

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Q: The population of a country is growing exponentially. The population in millions was 110 in 1970 and…

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Q: An unknown substance weighs 25.28kg when it is first brought to the lab.  After a week in the lab, a…

A: The exponential function is defined by the equation, f(x)=abx , where, a is the initial value, b is…

Q: A population of birds on an island is initially 380 birds, and it doubles (or grows by 100%) each…

A: It is given that initial population of birds on an island is 380. Each year population of birds gets…

Q: Machines in a factory break down at an exponential rate of six per hour. There is a single repairman…

A:

Q: A radioactive substance decays exponentially. A scientist begins with 180 milligrams of a…

A:

Q: In 2012, the population of a city was 5.91 million. The exponential growth rate was 1.56% per year.…

A: Given: In 2012, the population of city was 5.91 million and the exponential growth rate was 1.56%…

Q: The count in a bacteria culture was 200 after 20 minutes and 2000 after 35 minutes. Assuming the…

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Q: A radioactive substance decays exponentially. A scientist begins with 140 milligrams of a…

A:

Q: The population of a town declined from 367,000 in 2010 to 335,000 in 2017. Assume the population…

A: Consider the given information: - The population declined from 367,000 in the year 2010 to 335,000…

Q: Scientists measure a bacteria population and find that it is 10,000. Five days later, they find that…

A: Given : Bacteria Population at t=0 days , B0 = 10000 Bacteria Population at t=5 days, B5 = 20000

Q: 1. The area, in square meters, of a pond covered by an algae bloom decreases exponentially after a…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6) A car bought for $50,000 in 2020 depreciates by 12% per year. Use an exponential function to find…

A: General formula for exponential decay is as below : Where, P = initial value = $ 50,000 r = decay…

Q: You initially invest $300 in a savings account that pays a yearly interest rate of 5%. (a) Write a…

A: The initial amount invested is $300. Yearly investment is 5%. Let N = N(t) is the exponential…

Q: A population of fish starts at 8,000 and decreases by 6% per year.  Write an exponential function to…

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Q: A population numbers 18,000 organisms initially and grows by 6.5% each year. Suppose P represents…

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Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. After 2 hours, only…

A: That's easy, just need an observation that it reduces by half each hour.

Q: The countin a bacteria culture was 200 after 10 minutes and 2000 after 40 minutes. Assuming the…

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Q: In 2011, the population of a colony is 19000, and is decreasing exponentially at a rate of 6.3% per…

A: Given  In 2011, Population = 19000 Decreasing at a a rate of 6.3% per year

Q: In 2012, the population of a city was 6.24 million. The exponential growth rate was 1.51% per year.…

A: It is given that, the population of the city was P0 = 6.24 million and the exponential growth rate…

Q: The population of Guinea pigs in a certain place increases each month exponentially. After a month,…

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Q: The exponential growth model A = 50e0.07t describe the population of a city in the Philippines in…

A: solution: Given exponentia growth modelA=50e0.07t---1describes the population of a city in the…

Q: (10) A substance grows exponentially, and its weight doubles every 3 hours. Suppose it weighs 2…

A: 1st we will find equation for growth and then find unknown constant using given data After that we…

Q: In 1968, the U.S. minimum wage was $1.60 per hour. In 1976, the minimum wage was $2.30 per hour.…

A: Given: In 1968, the U.S. minimum wage was $1.60 per hour.            In 1976, the minimum wage was…

Q: The population of a colony of rabbits grows exponentially. The colony begins with 5 rabbits; 5 years…

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Q: The exponential growth model P=50e0.07t describes the population of a city in the Philippines in…

A:

Q: In 2012, the population of a city was 6.34 million. The exponential growth rate was 3.37% per year.…

A: Algebra Question

Q: The populations of Towns A, B, and C vary exponentially with respect to time. The population of…

A: Given,           The populations of Towns A, B, and C vary exponentially with respect to time.

Q: An unknown substance weighs 23.52kg when it is first brought to the lab.  After a week in the lab, a…

A: Consider the provided question, The exponential decay formula is given by,

Q: . The population of a town reaches 113000. 7 years ago the population was 82000. Assuming that the…

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Q: Population of cats grows exponentially. The current population is 80 cats, and the relative growth…

A: The population of the cat grows exponentially, the current population is 80 and the relative growth…

Q: The populations of Towns A, B, and C vary exponentially with respect to time. The population of Town…

A:

Q: 10. A sample of 50 bacteria grows exponentially and increases by 45% each hour. A) How many bacteria…

A: Let N0  represent initial population of bacteria and Nt represent population  in t hours

Q: In 2012, the population of a city was 6.81 million. The exponential growth rate was 2.22% per year.…

A: Given: In 2012, the population of a city was 6.81 million. The exponential growth rate was 2.22% per…

Q: The exponential growth model A= 50e0.07t describes the population of a city in the Philippines in…

A: Given exponential growth model is A=50e0.07t describe the population of a city in the Philippines in…

Q: A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a…

A: Please refer the attached image for complete solution.

Q: Money invested in a savings account grows exponentially. If you invest $10,000 in a savings account…

A:

Q: 1)Vanessa invested 3,500 into an account that increase in a value by 4.5% each year.wrote an…

A: Given- Vanessa invested 3,500 into an account that increase in a value by 4.5% each year.wrote an…

Q: Resale Value: Garland Mills purchased a certain piece of machinery 3 years ago for $500,000. Its…

A:

Q: 2. Assume a population of fish grows exponentially. A pond is stocked initially with 500 fish. After…

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Q: In 2012, the population of a city was 5.21 million. The exponential growth rate was 2.42% per year.…

A:

Q: And initial population of 415 ducks increases at an rate of 32%. Write an exponential function to…

A: Given,  Initial population of 415 ducks increases at an rate of 32%.  We have to write an…

Q: An initial population of 650 quail increases at an annual rate of 2.5%. Write an exponential…

A: An initial population of 650 quail increases at an annual rate of 2.5%.

Q: In 2020 the population of town was 17770 and is decreasing at an exponential rate of 2.5% per year.…

A: Exponential decrement can be expressed as the standard notation y=a1-rx where y represents the final…

Q: In 2012, the population of a city was 5.95 million. The exponential growth rate was 2.68% per year.…

A: Given that: Population of the city in 2012, 5.95 million and exponential growth rate is 2.68%