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Chapter 5: Q 89. (page 299)
Solve the equation.
The solution to the equation, is, .
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Radioactive Decay
The half-life of radioactive potassium is 1.3 billion years. If 10 grams is present now, how much will be present in 100 years? In 1000 years?
A child鈥檚 grandparents purchase a $10,000 bond fund that matures in 18 years to be used for her college education. The bond fund pays 4% interest compounded semiannually. How much will the bond fund be worth at maturity? What is the effective rate of interest? How long will it take the bond to double in value under these terms?
In Problems 12 and 13, use the given function f to:
(a) Find the domain off.
(b) Graphf.
(c) From the graph, determine the range and any asymptotes off.
(d) Find , the inverse of f.
(e) Find the domain and the range of.
(f) Graph
The graph of an exponential function is given. Match each graph to one of the following functions.
Bacterial Growth
A culture of bacteria obeys the law of uninhibited growth.
(a) If N is the number of bacteria in the culture and t is the time in hours, express N as a function of t.
(b) If 500 bacteria are present initially and there are 800 after 1 hour, how many will be present in the culture after 5 hours?
(c) How long is it until there are 20,000 bacteria?
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