In 1980, the population of a town was 2000 people. The exponential function P (t)- 2000(1.05)' models the poputation of the town since 1900. Which statements are true regarding the population of the town? Select THREE tha apply. A The population has increased by 5% each year since 1980. The population has increased by 105% each year since 1980. The population has increased by 5 people each year since 1980. D. Each year since 1980, the population is 105% of the population of the previous year. Each year since 1980, the population is 1.05 times the population of the previous year.

Q: Based on the table below, determine whether the data show an exponential relationship (without…

A:

Q: Which graph represents the exponential function f(x) = 2 %3D

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Q: scientist has a sample of bacteria that initially contains million microbes. They observe the sample…

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Q: Give an example of the Exponential Behavior?

A: x 1 2 3 4 5 6 7 8 9 y 2 4 8 16 32 64 128 256 512

Q: Determine whether the rule represents an exponential function. Explain why or why not. y=−6•7x

A: This question is based on exponential Function.

Q: The exponential function given by H(t) = 80,042.99(1.0484), where t is the number in 2040. The…

A: This question is based on substitution of values.

Q: Sara bought 3 fish. Every month the number of fish she has doubles. Write an exponential function to…

A: Sara bought 3 fish. Every month the number of fish she has doubles.  To write an exponential…

Q: Graph the following exponential function. Make a table of values and label the equation on the…

A: y=2·3x                           at x=0,     y=2·30 = 2at x=1,…

Q: population, P, of a certain animal species can be modeled exponentially using the functi 90(0.975),…

A: Given query is to find the model typ and population in 2025.

Q: Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases…

A: Given: Depth after 1 hour is 64 feet and depth after 4 hour is 28 feet.

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.