The bacteria in a culture are treated with an experimental drug and are decreasing according to the law of exponential decline. The culture contains an initial amount of 1000 bacteria at t = 0. After 4 hours, there are 450 bacteria left. How many bacteria will there be after 24 hours?

Q: The count in a bacteria culture was 500 after 10 minutes and 1900 after 30 minutes. Assuming the…

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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: A laptop computer was purchased for $2500. After 2 years, the value of the laptop is expected to be…

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Q: Biologists stocked a lake with 200 fish and estimated the carrying capacity to be 6400. The number…

A: Let us denote few variables which will be used in the equation: P0: Population at time t=0(Initial…

Q: 100 mg of a medication is administered to a patient. After 7 hours, only 22 mg remains in the…

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Q: The population of minnows in the lagoon is 5,400, but the population will decay exponentially. If…

A: The formula for the exponential decay model is, y=C1-rt Here, y is the final amount C is the initial…

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.