The exponential function given by H(t)=80,034.44(1.0482^t) where t is the number of years after 2009, can be used to project the number of centeraniums in a certain county. Use this function to project the centeraniums population of this country in 2014 and in 2042.

Q: A culture of bacteria originally numbers 500. After 2 hours there are 1,500 bacteria. Assuming…

A: Given Initially bacteria are 500 after 2 hours they are 1500

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: A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

A: Exponential Decay of quantity.

Q: A tumor is injected with 0.7 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

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

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Q: The initial population size was 53 hippogriffs. After only 5 year(s), a new count was taken…

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Q: odine -131 has a half-life of approximately 8 days. ind the amount of iodine-131 left from a 100…

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

A:

Q: A tumor is injected with 0.6 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

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

A:

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 revenue of an online retailer increases by $320,000 every year, this is an example of…

A: We will find if this is exponential.

Q: A tumor is injected with 0.9 g of iodine -125, which has a decay rate of 1.5% per day. Write an…

A:

Q: s Canada has been tracking the number of farming familie ere were 31 850 farming families. Since…

A: Given: Initial number of families=31850Average rate of decrease=3.3%=0.033 The calculations for the…

Q: Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The…

A: Given:    Since we have given that Number of bacteria initially = 1   It triples in number every 30…

Q: best

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

A: The values is:-

Q: popultaion of a southern city folow exponential law.  if the population doubled in size over 14…

A:

Q: The count in a bacteria culture was 800 after 10 minutes and 1200 after 35 minutes. Assuming th…

A: Please refer to the image below

Q: The count in a bacteria culture was 300 after 20 minutes and 1600 after 30 minutes. Assuming the…

A: To begin with this question, we need to know the exponential growth formula that is Nt = N0ekt where…

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: Find the time needed to double an investment at 8% annual interest rate compounded continuously.

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Q: If a project takes 10 people 12 months to complete and the Pointy-Haired-Boss says 20 can do it in 6…

A: Given information: 10 people takes 12 months to complete the project. Pointy-Haired-Boss says that…

Q: derive a formula for the of time that takes money to increase by one and half in a bank account that…

A: We have R= 3% compounded  yearly Let say it will take t years

Q: Determine how much time is required for an investment to triple in value if interest is earned at…

A: Let P be the principal amount, then the triple amount of P is 3P.

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: A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. How do…

A: Consider the given information ,tumor is injected with 0.9gm

Q: An investment earns 5.1% yearly interest compounded continuously and is currently growing at the…

A: Solution:Given    i=5.1%     n=1     A=765   To find P=?Formula:A=P(1+i)n

Q: Create two exponential functions that have a horizontal asymptote at y=3 and go through the point…

A: The solution is given below

Q: The count in a bacteria culture was 100 after 20 minutes and 1100 after 30 minutes. Assuming the…

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

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Q: the amount of drug in a person’s bloodstream can be modeled by an exponential decay function.…

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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 1400 after 30 minutes. Assuming the…

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

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 population of a new city started at 1,200; however, it grew at a rate of 2% each year. Express…

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Q: A city has 1000 individuals and its population doubles every 60 years. Give an exponential model for…

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Q: The drug Valium is eliminated from the bloodstream exponentially with the half-life of 36 hours.…

A: Given,

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: Find the total accumulated amoun

A: Given: Invested amount = $6500 Interest rate = 5 %

Q: The count in a bacteria culture was 400 after 20 minutes and 1000 after 40 minutes. Assuming the…

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Q: A sample of bacteria taken from a river has an initial concentrationof 2.5million bacteria per…

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

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

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Q: The count in a bacteria culture was 800 after 10 minutes and 1800 after 35 minutes. Assuming the…

A:

Q: The count in a bacteria culture was 100 after 20 minutes and 1100 after 40 minutes. Assuming the…

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.