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Chapter 5: Q. 3 (page 324)
The total amount borrowed ( whether by an individual from a bank in the form of a loan or by a bank from an individual in the form of a savings account) is called the _____.
The total amount borrowed is called the principal.
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A fossilized leaf contains 70% of its normal amount of carbon 14.
(a) How old is the fossil? Use 5700 years as the half-life of carbon 14.
(b) Using a graphing utility, graph the relation between the percentage of carbon 14 remaining and time.
(c) Using INTERSECT, determine the time that elapses until half of the carbon 14 remains.
(d) Verify the answer found in part (a).
Foreign ExchangeTraders often buy foreign currency in hope of making money when the currency鈥檚 value changes.
For example, on March 22, 2011, one U.S. dollar could purchase 0.7045 Euros, and one Euro could purchase 114.9278 yen. Let represent the number of Euros you can buy with dollars, and let represent the number of yen you can buy with Euros.
(a) Find a function that relates dollars to Euros.
(b) Find a function that relates Euros to yen.
(c) Use the results of parts (a) and (b) to find a function that relates dollars to yen. That is, find
(d) What is ? Interpret this result.
Growth of a Colony of Mosquitoes
The population of a colony of mosquitoes obeys the law of uninhibited growth.
(a) If N is the population of the colony and t is the time in days, express N as a function of t.
(b) If there are 1000 mosquitoes initially and there are 1800 after 1 day, what is the size of the colony after 3 days?
(c) How long is it until there are 10,000 mosquitoes?
A pizza baked at 450掳F is removed from the oven at 5:00 pm and placed in a room that
is a constant 70掳F. After 5 minutes, the pizza is at 300掳F.
(a) At what time can you begin eating the pizza if you want its temperature to be 135掳F?
(b) Using a graphing utility, graph the relation between temperature and time.
(c) Using INTERSECT, determine the time that needs to elapse before the pizza is 160掳F.
(d) TRACE the function for large values of time. What do you notice about y, the temperature?
In Problems , the graph of an exponential function is given. Match each graph to one of the following functions.
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