A medicine contains 400 units per milliliter of an antibiotic. The medicine decomposes over time. The decomposition process is summarized in the table below.

Q: A bacterian culture has a initial population of 10000. If its population declines to 5000 in 6…

A: Exponential model ⇒Pt=Ae-kt⇒A=initial population ⇒k=decay rate ⇒t=Time in hours⇒Pt=Population at…

Q: bacillus subtilis, a type of a bacteria responsible for the decomposition of organic matter, grows…

A:

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: A soil sample of one gram contains 464 bacteria. In the current climate, the bacteria is expected to…

A: Approach to solving the question: Detailed explanation: Examples: Key references: Biology

Q: how long will take for an investment to double in value if the interest rate 3% APR compounded…

A: We have A(t) = 2A(0) and r = 3% = 0.03

Q: If a certain substance exponentially decays from 100 grams to 20 grams in 3 years. How much of the…

A:

Q: Personal care aid is an occupation that is growing quickly. Assume that, in a certain region there…

A: Given information:The number of personal care aids in 2024 is 157,500, which is a growth of 28% over…

Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

A:

Q: A species of beetles grows 41% every year. Suppose 100 beetles are released into a field construct…

A:

Q: A culture of bacteria obeys the law of natural exponential growth. If 140,000 bacteria are present…

A: We can make it easier for you.

Q: After 245 years half of a sample of radioactive element remains. Write the equation for modeling its…

A: First form the differential equation than solve it.

Q: A team of botanists has developed a new serum to help plants grow faster. They found that that…

A:

Q: Why is the base of an exponential function restricted to positive numbers not including 1?

A: Why is the base of an exponential function restricted to positive numbers not including 1?

Q: If a Paramecium is about 390 micrometers long, how many centimeters is it? Express in real numbers…

A:

Q: A species of lizard is declining at a continuous exponential rate of 10% per year. If there are 943…

A: A species of lizard is declining at a continuous exponential rate of 10% per year. If there are 943…

Q: 00 books in a library, growing at a cont - of books to triple from the current am decimal places if…

A:

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

A: Given ,Half life of  substance is 1200 years. Initial amount of substance = 300 grams. We model a…

Q: a family has a phone plan that includes 4gb of data per month. 10 days into 30 day month the family…

A: The amount of data used by the family in 20 days is 1 GB. The rate of usage can be interpreted as…

Q: Each machine on Widgetco’s assembly line gets out ofwhack an average of once a minute. Laborers are…

A: a) Widgetco's hourly cost can be expressed as the sum of the cost of labor and the cost of idle…

Q: Oganesseon 294 has an exponential decay rate of 38.51% per millisecond what is the half life

A: Let N(t) be the amount of Oganesseon 294 at time t. Exponential decay rate is:  r = 38.51%

Q: GB of d

A: Given, A family has a phone paying that gives 6 GB of data per month 15 days into a 30-day month.…

Q: Suppose a population of insects increases according to the law of exponential growth. There were 130…

A: Since the population increases by law of exponential growth.

Q: at the start of a concert there was 2500 people in the audience. every 30 minutes, audience members…

A:

Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…