Problem Solving 1. A barangay has 1,000 individuals and its population doubles every 60 years. Give an exponential model for the barangay population. 2. The half of a radio - active substance is 1200 years. If the initial amount of the substance is 300 grams, give an exponential model for the amount of substance remaining after tyears.

Q: Solve and show work. 2) The amount of hairs on Mr. Mahers head has been decreasing exponentially at…

A: Rate of decrement= 5.5% Initial number of hair = 110000 Let t being the number of years.

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…

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A: Exponential equation is of the form f(x)=a  bx Converting the given information in point form…

Q: The number of bats in a colony is growing exponentially. After 1 year, there were 70 bats. After 4…

A: We have to find no of bats after 7 year,for this we will use exponential growth model ,details are…

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Q: The population of a country dropped from 52.3 million in 1995 to 44.1 million in 2009. Assume that…

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Q: How do I write an exponential equation that passes through a given set of points? (The example given…

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

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Q: A population numbers 14,000 organisms initially and grows by 17.8% each year. Suppose P represents…

A: topic - exponential function

Q: State whether the growth (or decay) is linear or exponential, and answer the associated question.…

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Q: An exponential model has the form y = ae² + be²z and it goes through the points (In 2, 3706), (In 3,…

A: Given,           y=aex+be2xand it goes  through the points ln2, 3706, (ln3, 1744), (ln4, 981).

Q: A radioactive substance decays exponentially. A scientist begins with 100 milligrams of a…

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Q: There are currently 28 frogs in a (large) pond. The frog population grows exponentially, tripling…

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Q: The number of bats in a colony is grown exponentially. After two years there are 180 bats. After…

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Q: Suppose you purchase a house for $753,000 and the value of the house increases by 2% per year.…

A: Topic- Progression

Q: The graph of an exponential function, y = a(b)*, is displayed below. 45 40 35- 30 25 3,46.656…

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Q: The population of a city is 85,000 and increases by 2.4% each year. Which exponential function…

A: Given, Initial population P(0)=85000 k=2.4%=0.024

Q: The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential…

A: NOTE: Refresh your page if you can't see any equations. . the value of the car is $15000 so take…

Q: 3. Which situation could be modeled by an exponential function? A A car loses 20% of its value each…

A: the objective is to find which option is true.

Q: 6. An adult takes 500 milligrams of paracetamol. Each hour h, the amount of paracetamol in the…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: What is the same for all exponential equations of the form y = Bx  if   A) the value of B is greater…

A: y=Bx

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A: Given that initial population of flies is 24. it reaches 384 in 18 days growth is exponentially, so…

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A: We have to find the equation of an exponential function that goes through the following two points…

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Q: A doctor prescribes 100 milligrams of a therapeutic drug that decays by about 25% each hour. Write…

A: Firstly we will find the exponential decay model and then find amount of drug after 3 hours as shown…

Q: A fruit fly population of 24 flies is in a closed container. The number of flies grows…

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Q: 4. Write and solve an exponential equation to answer each question. a) The population of a city this…

A: 4) The general equation of exponential growth function is given by y=y01+rx where y0 is the initial…

Q: The population of a country dropped from 52.3 million in 1995 to 44.1 million in 2009. Assume that…

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Q: The population of a country dropped from 51.5 million in 1995 to 45.9 million in 2009. Assume that…

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Q: A doctor prescribes 225 milligrams of a therapeutic drug that decays by about 10% each hour. Write…

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Q: use an exponential model and a graphing calculatorto estimate the answer in each problem. Suppose…

A: In any given year the number of cases of a disease is reduced by 20% and there are 10,000 cases…

Q: A population numbers 567 organisms initially and increases by 2.4% each year. Suppose P represents…

A: Given data is : The initial population of an organism is P0=567 Increases by 2.4% each year,…

Q: 4. The amount of caffeine in a person's body follows an exponential function, as do many drugs. The…

A: Find the value for k in the exponential function.

Q: The population of a country dropped from 52.5 million in 1995 to 45.1 million in 2008. Assume that…

A: Topic- exponential function

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

A: Please refer the attached image for complete solution.

Q: The current student population of Orlando is 1700. If the population increases at a rate of 13.9%…

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A: Given,           When rabbits were first introduced to australia last century, they had no natural…

Q: how many paramecia can you expect after 7 weeks?

A: Here use basic of exponential forecasting

Q: A radioactive substance decays exponentially. A scientist begins with 160 milligrams of a…

A: Given: Initial amount of substance is 160 milligrams. After 32 hours, 80 mg substance is left. To…

Q: The current student population of Baltimore is 1400. If the population increases at a rate of 19.9%…

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Q: Suppose we start with a bacterial colony of 200 E. coli cells growing exponentially. After 90…

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Q: The population of Calgary is growing exponentially. The population is summarized in the table below:…

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Q: A population numbers 14,000 organisms initially and decreases by 5.8% each year. Suppose P…

A: Initial value is the value of 'a' and total percentage after decrease is the value of 'b'

Q: A radioactive substance decays exponentially. A scientist begins with 150 milligrams of a…

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Q: a doctor prescribes 125 milligrams of a therapeutic drug that decays by about 15% each hour. Write…

A: Exponential decay can be given as below : P = initial value = 125 mg r = decay rate = 15% = 0.15…

Q: A radioactive substance decays exponentially. A scientist begins with 100 milligrams of a…

A: It is an important part of statistics. It is widely used.

Q: How do I find the formula for an exponential function that passes through (-2,6) and (3,1)? Thank…

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Q: 16. Which situation could be modeled by an exponential function? A A person's heart rate depends on…

A: Here we have to find in which situation could be modeled by an exponential function.