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Unformatted text preview: f f(x) = 2e4x at the point (0, 2). Solve. 20) How long will it take for the population of a certain country to triple if its annual growth rate is 1.1%? Assume the population is growing exponentially. Round to the nearest year. 21) Suppose that $4000 is invested at an interest rate of 5.3% per year, compounded continuously. What is the balance after 3 years? 22) Suppose that $9000 is invested at an interest rate of 5.4% per year, compounded continuously. What is the doubling time? Solve the problem. 23) Ben Franklin bequeathed $4000.00 to the city of Boston in 1790. Assuming the fund grew to $6 million in 200 years, a) find the interest rate compounded continuously that would yield this total value. b) How long did it take until the the balance reached $1,000,000? c) How fast was the balance changing when it reached $1,000,000? Solve. 24) A certain radioactive isotope has a half - life of approximately 1900 years. How many years to the nearest year would be required for a given amount of this isotope to decay to 80% of that amount? 25) An artifact is discovered at a certain site. If it has 57% of the carbon - 14 it origin...
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