write an expression for the population as a function of time in years.

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 half-life of a substance is 1200 years. If the initial amount of the substance is 300 grams,…

A:

Q: The count in a bacteria culture was 500 after 20 minutes and 1500 after 30 minutes. Assuming the…

A: Given that, the count in a bacteria culture was 500 after 20 minutes and 1500 after 30 minutes.…

Q: The count in a bacteria culture was 600 after 20 minutes and 1700 after 40 minutes. Assuming the…

A:

Q: What exponential function will pass through both (0,6) and (1,3)?

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Q: In 2011 a country had a population of 117 million and a growth rate of -0.372%.  Assuming that this…

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Q: The count in a bacteria culture was 400 after 10 minutes and 1200 after 35 minutes. Assuming the…

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. There…

A: Given that The number of bacteria in a culture is increasing according to the law of exponential…

Q: The average profit a local store owner earns on a given day is \$590$590 and is growing…

A:

Q: The count in a bacteria culture was 500 after 20 minutes and 1700 after 30 minutes. Assuming the…

A:

Q: Find the equation of the logistic function with a maximum value of 1000, an initial value of 500,…

A: Topic:- function

Q: The count in a bacteria culture was 400 after 10 minutes and 1700 after 30 minutes. Assuming the…

A:

Q: A bird species in danger of extinction has a population that is decreasing exponentially A = A0ekt.…

A: Given A=A0ekt Initial population = 1400 when t = 0 after 5 years population is 1000

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

A: topic - exponential function

Q: The count in a bacteria culture was 100 after 15 minutes and 1400 after 35 minutes. Assuming the…

A:

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 count in a bacteria culture was 400 after 10 minutes and 1300 after 30 minutes. Assuming the…

A: The values is:-

Q: Ava invested $470$470 in an account in the year 2000, and the value has been growing exponentially…

A:

Q: $5,000 is invested in an account earning 6% interest (APR), compounded continuously. How much is in…

A: Total investment P=$5000 Rate of interest R= 6% Time t=3 years Total amount after 3 years

Q: The number of women graduating from​ 4-yr colleges in a particular country grew…

A: let the exponential function is   P(t) =P0 ert

Q: The average profit a local store owner earns on a given day is \$120$120 and is growing…

A: given that average profit per day is $120 rate of growing is 76% per year we have to find profit…

Q: A cell population grows exponentially beginning with one cell. Which takes longer: increasing from…

A: Definition of the exponential functions helps to find the answer to the problem. A function is said…

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

A: Given the number of cockroaches decrease by 18% every 12 years. We first find an equation using the…

Q: The U.S. Census Bureau keeps a running clock totaling the U.S. population. On September 20, 2012,…

A: Consider t be the time in years after the September 20, 2012 at 8.11 p.m. EST and y(t) be the…

Q: Among various populations of plants or animals, diseases spread exponentially. Use the function…

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Q: What exponential function will pass through both (2,4) and (5,7)?

A:

Q: Determine how long it will take for an initial investment to double if it earns 7% interest per year…

A: The time take to double the initial investment is approximately 10 years  see the calculation below

Q: A computer viruS can grow exponentially just like a real virus in a person's body. Suppose the…

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Q: The count in a bacteria culture was 700 after 20 minutes and 1200 after 35 minutes. Assuming the…

A:

Q: The count in a bacteria culture was 700 after 20 minutes and 1400 after 30 minutes. Assuming the…

A: Given data: Count in bacteria culture after 20 mins=700 Count in bacteria culture after 30…

Q: The National Health Expenditures report, released in January 2009, stated that overall health care…

A: Given that, The National Health Expenditures report, released in January 2009, stated that overall…

Q: A bird species in danger of extinction has a population that is decreasing exponentially (A =…

A: Given population equation - A = A0ekt                ................(1)A0 = Initial Population =…

Q: The number of women graduating from 4-yr colleges in a particular country grew from 1930, when…

A: Let N(t)=Cekt...........Equation (A)   Given- In year 1930, 48,829 women earned a bachelor's degree…

Q: Three thousand dollars is deposited in the bank at 4% interest compounded continuously. What will be…

A: It is given that Money in the account $3000 Interest rate   We have to find the average value of…

Q: A biology experiment begins with 5 cells. In four days, the experiment grows to 164 cells. Assuming…

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Q: When do we use the Chain rule in derivates of exponential function

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Q: The count in a bacteria culture was 300 after 15 minutes and 1800 after 30 minutes. Assuming the…

A: It is given that, Initially, at time t1=15 min. the bacteria count was N1=300 While, at time t2=30…

Q: In a laboratory experiment, the population of bacteria in a petri dish started off at 160 and is…

A:

Q: Find a formula for the exponential function passing through the points (-2, -) and (1, 6). 3 y%3D

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Q: What are the linear and exponential functions whose graphs contain the points (0,4) and (3,108)?

A: Here we have to find the linear and exponential functions whose graphs contain the points (0,4) and…

Q: A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is…

A: General expression for exponential growth function is given by,                   n(t) = a(1+r)t…

Q: A computer virus can grow exponentially just like a real virus in a person's body. Suppose the…

A: Given that: Initial bytes infected = 11 bytesRate of growth = 7% per min.

Q: The count in a bacteria culture was 300 after 15 minutes and 1500 after 30 minutes. Assuming the…

A:

Q: A bacteria culture starts with 100 bacteria and grows exponentially, after 1 hour the population is…

A:

Q: Suppose that a population that is growing exponentially increases from 800,000 people in 2010 to…

A: the exponential model is of the form, At=A0ekt where A0 original amount of the entity, t is the…

Q: Give 5 examples of derivative of exponential function with solution

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Q: The count in a bacteria culture was 600 after 10 minutes and 1700 after 35 minutes. Assuming the…

A:

Q: A biologist is monitoring the population of a rare species of Jackelope. The initial population size…

A:

Q: Write the derivative of 7 log8(x)

A: We have to find the derivative of 7 log8(x).

Q: Find the time it takes for $5,800 to double when invested at an annual interest rate of 5%,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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.