Chapter 5: Q 3. (page 308)
Short Answer
The value is M.
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Chapter 5: Q 3. (page 308)
The value is M.
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Radioactive Decay
Iodine 131 is a radioactive material that decays according to the function , where
is the initial amount present and A is the amount present at time t (in days). Assume that a scientist has a sample of 100 grams of iodine 131.
(a) What is the decay rate of iodine 131?
(b) Graph the function using a graphing utility.
(c) How much iodine 131 is left after 9 days?
(d) When will 70 grams of iodine 131 be left?
(e) What is the half-life of iodine 131?
Logistic Growth The logistic growth model
represents the proportion of new cars with a global positioning system (GPS). Let t = 0 represent 2006, t = 1 represent 2007, and so on.
(a) What proportion of new cars in 2006 had a GPS?
(b) Determine the maximum proportion of new cars that have a GPS.
(c) Using a graphing utility, graph .
(d) When will 75% of new cars have a GPS?
Evaluate each expression using the values given in the table.
(a) (b) (c) (d) (e) (f) .

If denotes the inverse of a function , then the graphs of and are symmetric with respect to the line
Return on an Investment
A business purchased for \(650,000 in 2005 is sold in 2008 for \)850,000. What is the annual rate of return for this investment?
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