The town of Diamond Wish, which initially had 20 000 people, began to experience an exponential decline in population at a rate of 2.5% per year, after the closure of a local coal mine. How long will it take for the population to drop to 12 000? (round to nearest tenths).

Q: Sarah invested $1,200 in an account in the year 1996, and the value has been growing exponentially…

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Q: In the last ten years, the population of Brazil has grown at an exponential rate of 0.8% per year to…

A: In the last ten years, the population of Brazil has grown at anexponential rate of 0.8% per year to…

Q: The population of bacteria cells in a dish grows exponentially at a rate of 5% per hour. If there…

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Q: Use the exponential growth model, A = A0ekt, to solve, In 1980, the elderly U.S. population (65 and…

A:

Q: Initially, a petri dish held 34 bacterium organisms. 16 hours later, the number had increased to 51.…

A: Given- A petri dish held 34 bacterium organisms intially and after 16 hours, the number had…

Q: A town has a population of 14000 and grows at 5% every year. What will be the population after 14…

A:

Q: A doctor prescribes 150 milligrams of a therapeutic drug that decays exponentially. If the half-life…

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Q: A house purchased for $162,400 gains 5% of its value every year. If this growth rate continues, in…

A:

Q: A boat purchased for $25,000 depreciates exponentially. After one year, the car is valued at…

A:

Q: Researchers recorded that a certain bacteria population declined from 290,000 to 300 in 24 hours. At…

A: Bacteria in 16 hours=?

Q: A sample of bacteria initially has 1,500 cells/L. After 5 days, the sample contains 10,000 cells/L.…

A: Given that: Initial bacterial concentration = 1500 cells/LAfter 5 days, sample contains = 10000…

Q: A certain culture of the bacterium rhodobacter sphaeroides initially has 22 bacteria and is observed…

A: Solved below

Q: If $5000 is invested at 7% annual simple interest, how long does it take to be worth $7800?

A: Use formula of simple interest

Q: The number of people living in Canada rose by 1.2% to 38.5 million in 2021. If this population…

A:

Q: A town has a population of 14000 and grows at 3% every year. What will be the population after 14…

A: To find  the solution,  we will use formula.

Q: After a large number of drinks, a person has a blood alcohol level of 120 mg/dL (milligrams per…

A:

Q: A town has a population of 13000 and grows at 2.5% every year. What will be the population after 5…

A: To find the population after 5 years

Q: If the population of a certain county was 100,000 in 1998 and 110,403 in 2008, and if the population…

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Q: Back in 1997, Palto Town had a population of 10,000 residents. Ten years later, the population grew…

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Q: Because of an economic slump, a company finds that its annual profits have dropped from 700 thousand…

A: First we shall find profit function with setting intial time 2006

Q: A truck was valued at $50, 000 in the year 2008. By 2014, the value had depreciated to $20,000. If…

A:

Q: In the 2000 U.S. Census, a small city had a population of 45,000. By 2010, the population had…

A: Given  Population in 2000 = 45,000  Population in 2010 = 65148

Q: If a population has a growth rate of 7.5% per year, how long to the nearest tenth of a year will it…

A:

Q: After a large number of drinks, a person has a blood alcohol level of 140 mg/dL (milligrams per…

A: Given:Initial blood alcohol level is 140 mg/dL             And one fourth is removed every hour To…

Q: In 2011, the population of a district was 31,600. With a continuous annual growth rate of…

A:

Q: A town has a population of 5000 and grows at 3.5% every year. What will be the population after 15…

A: A town has a population of 5000 and grows at 3.5% every year.

Q: The City of Dallas had a population of 1,270,000 in 2010, and a population of 1,560,000 in 2020. It…

A: According to question given thatThe city of Dallas had a population of=1,270,000 in 2010And a…

Q: The population in India was 952108000 in 1996 and was growing at a rate of 1.3% per year. What will…

A:

Q: a radioactive isotope, selenium, used in the creation of medical images of the pancreas, has a…

A: To use the exponential model of radioactivity to determine the required amount of substance

Q: In the last ten years, the population of Brazil has grown at an exponential rate of 0.9% per year to…

A: Present population = 204,832,665Rate of growth = 0.9% per yeartime = 10 years

Q: In​ 2000, the population of a city was 80,000. The population had grown to 127,000 by 2013. If the…

A:

Q: The small intestine bacteria, while inhabiting areas optimal for growth, have a doubling time of…

A: The exponential growth can be studied using the exponential growth function. The formula for the…

Q: A car was valued at $38,000 in the year 2007. By 2013 , the value had depreciated to $11,000 If the…

A: Given that Cost of the car in 2007 = $38000 Cost of the car in 2013 = $11000 To find the rate of…

Q: When a petroland oil well was first brought on line, it produced 1,900 barrels of crude oil a day.…

A: Petrol and oil well produced  In the first year , production is 1900 barrels of crude oil per day.…

Q: A house purchased for $199,500 gains 2% of its value every year. If this growth rate continues, in…

A: A=P(1+r)t

Q: A culture of 100 bacteria grows to 150 after 2 hours. How long will it take to double in size?…

A: Condition 1: At t=0, P(0)=P0=100   Condition 2: At t=2, P(2)=150   If P(t)=2P0, then find t (in…

Q: If you invest $6300 per year in a stock that grows at rate of 9% per year, how much will your stock…

A: We have to find the worth after 13 years.

Q: The hourly wage of workers was raised once a year and grew exponentially from $7.007.00 to $9.879.87…

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Q: Kyle invests in an account earning 7.75% interest compounded continuously. How long will it take to…

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Q: A house purchased for $20,000 at an interest rate of 2% and was just sold for $60,000. Assuming…

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Q: The population of the world in 1987 was approximately 5 billion and the annual growth rate was…

A: Given data: The population of the world in 1987 is P0=5 billion. The annual growth rate is…

Q: A town has a population of 12000 and grows at 4% every year. To the nearest year, how long will it…

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Q: In certain soil conditions, the number of surviving larvae in the hatch of an insect called a…

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Q: The median household income (adjusted for inflation) in Seattle grew from $42,500 in 1990 to $75,200…

A:

Q: If a country with a growth rate of 2.8% can double its population size in 24 years, then how long…

A: If a country with a growth rate of 2.8% can double its population size in 24 years, then how long…

Q: The balance on your credit card doubles from 1000 to 2000 in 6 months, if your balance is growing…

A:

Q: In​ 2000, the population of a city was 75,000. The population had grown to 108,000 by 2010. If the…

A: Let t= number of years after 2000So, for 2010 , t= 2010-2000=10And for 2024 , t= 2024-2000=24

Q: A town has a population of 17000 and grows at 3% every year. What will be the population after 7…

A:

Q: There were ( 376 ) people affected by corona pandemic in a region on 1 January , 2021. How long it…

A: Using differential equations we can model up a formula for exponential growth rate. Here we use such…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.