The exponential function N = 500 × 0.74t, where t is measured in years, shows the amount, in grams, of a certain radioactive substance present. (a) Calculate N(3). (Round your answer to one decimal place.) N(3) = Explain what your answer means. After years there are grams of the radioactive substance present. (b) What is the yearly percentage decay rate? (Round your answer to one decimal place.) % (c) What is the monthly decay factor rounded to three decimal places? What is the monthly percentage decay rate? (Round your answer to one decimal place.) % (d) What is the percentage decay rate per second? (Note: For this calculation, you will need to use all the decimal places that your calculator can show. Round your answer to eight decimal places.)

Q: Use the following exponential function to answer the questions. y = -3(0.9%) + 2π

A:

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A: Consider the exponential function:

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Q: per year compounded continuously, and the balance of the acc A(t) = 50,000eº.045t dollars. Find the…

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Q: The number of bacteria in a culture at time t (in hours) is modeled by N(t) = 600(1.6)t.   (a) The…

A:

Q: · When interest is compounded continuously, the amount of money increases at a rate proportional to…

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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.