The timber harvests in the Tongass National Forest in Alaska have decaysed exponentially from 471 million board feet in 1990 to 48 million board feet in 2003.   Predict when the timber harvest will be 10 million board feet.

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 1990, Jamaica's population of 2,466,000 was expected to grow exponentially by 1.1% each year.…

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Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: We will solve the exponential model for the Aspirin decay

Q: If a total number of infections of a viral disease was observed to be 48 in day 27 and 900 in day…

A: Since the growth is exponential , so it is of the form P(t)=P0ert where P(t) is the number of…

Q: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the…

A: Given data: Diseases tend to spread according to the exponential growth model. The growth rate =…

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

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

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Q: Suppose an insect population increases by a constant percentage each month. Explain why the number…

A: Exponential growth increases at an expanding rate with the rate of change for y being proportional…

Q: Piper invested $900 in an account in the year 2009, and the value has been growing exponentially at…

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

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Q: The count in a bacteria culture was 200 after 10 minutes and 1300 after 30 minutes. Assuming the…

A: According to company policy we are allowed to provide solution for only 3 sub parts of one question.…

Q: The size of a threatened population of bottlenosed dolphins is decaying exponentially with a…

A: topic - exponential function

Q: Assume that the effects of advertising can be described by exponential decline. If 40% of those who…

A: Given: 40% of those who saw the ad remember her after three days.

Q: Emma invested $630$630 in an account in the year 1997, and the value has been growing exponentially…

A: for growing exponentially

Q: The balance owed on your credit card doubles from $1000 to $2000 in 6 months.  If your balance is…

A: Given , The balance owed on credit card doubles from 1000$ to 2000$ in 6 months.As the growing is…

Q: Four months after it stops advertising, a manufacturing company notices that its sales have dropped…

A: given that,Four months after company stops advertising, a manufacturing company notices its sales…

Q: suppose a study is completed that finds that the number of cockroaches in chandler decreases by 18%…

A: Given: Initial population of cockroaches = 3.5 millions = 3500000  Rate of decrease = r=18%=0.18…

Q: The population of an Ontario town grew from 1250 to 10,000 in 5 years due to the establishment of a…

A: The population of a city grows exponentially. Suppose that initially the population is P. If the…

Q: A growing number of thieves are using keylogging programs to steal passwords and other personal…

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Q: A culture of bacteria grows exponentially. It doubles in size every 5858 hours. How long will it…

A: Given:The growth of bacteria doubles in size every 5858 hoursFor exponential growth,

Q: The amount of caffeine in the body after consumption follows an exponential decay model. after…

A: The time taken to decay half of the amount of the substance taken initially is called the half-life…

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…

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Q: The town of Diamond Wish, which initially had 20 000 people, began to experience an exponential…

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Q: Sales of portable MP3 players grew approximately exponentially from ​$0.05 billion in 1999 to ​$0.60…

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Q: Once the initial publicity surrounding the release of the new book is over, the sales of the…

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Q: Statistics Canada has been tracking the number of farming families in Alberta. In 2005, there were…

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Q: Suppose the population of spiders in a sanctuary grows exponentially. After one day, 
there were 50…

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

A: The number of flies f(t) will be governed by the equation, f(t) = 24etτ, where τ is the time…

Q: A global recession caused a restaurant chain’s annual profits to fall. In 2018, the annual return is…

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Q: Each month, Uncle Joe’s Auto Parts uses exponential smoothing (with α = 0.25) to predict the number…

A: To forecast the next month scales using the exponential smoothing method the formula used…

Q: A doctor prescribes 125 milligrams of a therapeutic drug that decays by about 30% each hour. Using…

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Q: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. Write…

A: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. To…

Q: Thanks to its environmental initiatives, Booneville has cut its annual CO2 emissions by 10%. This…

A: Given query is to find the CO2 produce after 3 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: The population in Littleton in 2010 was 45,300 people and is growing exponentially at a rate of 3%…

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Q: The value of a collectible toy is increasing exponentially. The

A: Given the collectible toy is increased exponentially. The two points on the graph show the toy's…

Q: Sales of portable MP3 players grew approximately exponentially from ​$0.05 billion in 1999 to ​$0.60…

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Q: The count in a bacteria cculture was 300 after 15 minutes and 1800 after 35 minutes. Assuming the…

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Q: The hourly wage of workers was raised once a year and grew exponentially from $7.507.50 to…

A: Given the hourly wage of workers was raised once a year and grew exponentially from $7.50 to $10.67…

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

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Q: The count in a bacteria culture was 700 after 15 minutes and 1100 after 40 minutes. Assuming the…

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Q: The price of a computer component is decreasing at a rate of 13​% per year. State whether this…

A: The price of a computer component is decreasing at 13% per year. Now, let the initial price of the…

Q: Joe scraped his knee after falling off his skateboard, leaving a wound with an area of 291 mm^2. The…

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

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Q: A scientist begins with 100 mg of a radioactive substance that decays exponentially. After 35…

A: It is given that 50 mg of the substance remains after 35 hours. SO half of the substance remains…

Q: The count in a bacteria culture was 200 after 20 minutes and 1700 after 35 minutes. Assuming the…

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Q: The population of a town is increasing by 636 people per year. State whether this growth is linear…

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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.