Mariel recorded the population of a particular insect over time. The relationship between the time t, in years, and the population of the insect I(t) , can be represented by the function I(t) : 5,000 (0.85) %3D Based on the function I(t) , what is true about the insect population? A With each year that passed, the insect population increased by 15% . Every six years that passed, the insect population increased by 15% . C With each year that passed, the insect population decreased by 15% . Every six years that passed, the insect population decreased by 15% .

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Q: The population, P, of rabbits in a region is growing according to the exponential relation P =…

A: Substituting n = 0 gives current population P(0)

Q: The population P(t) of a town, in thousands, t years after 1900 can be described by the rule…

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Q: Suppose that $3060 is deposited into an account where the Interest is compounded annually. This…

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Q: A baseball card sold for $300 in 1979 and was sold again in 1986 for $481. Assume that the growth in…

A: We need to find out to the exponential growth rate and the function.

Q: A=53(1.18)t Percent Growth?__ A=4.5(1.06)t Percent Growth?__ A=66(1.03)t Percent Growth?__…

A: Part a,Given,          A=531.18tWe know that,           The exponential growth function is given by…

Q: A deposit of $100 is placed in a savings account. Each month, the amount deposited is doubled. Write…

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Q: The population of a city is given by the following equation. The growth rate is:

A: The population of a city is given by the following equation , P=500e0,05t From this equation to find…

Q: You have 500 dollars in your bank account. Suppose your money is compounded every month at a rate of…

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Q: The effect of changing the growth rate variable, r, in an exponential function. If an initial…

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Q: In a year tracking a population of widowbirds, you recorded that 150 individuals were born, 75 birds…

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Q: Below are three exponential functions. For each function, provide (and clearly label) the reference…

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Q: The number of acres of old growth forest in a park, N, initially 500 acres, is decreasing at a…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: State the domain and the range for Y = log10(x)

A: We use the definition of loga(x), to find domain and range of Y=log10(x).

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.