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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 Fall '
 Bonacci
 Calculus, 0.3%, Ben Franklin, $4000, 1.1%, $9000

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