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1.
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Select the correct graph for the given
function
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2.
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Complete the table for a savings account in which
interest is compounded continuously.
Initial investment | Annual % rate | Time to
double | Amount after 10 years | | | ---- | ---- | | | | |
(Round the answer upto two decimal places.)
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3.
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Select a scatter plot of the given
data.
r | 2% | 4% | 6% | 8% | 10% | 12% | t | 55.48 | 28.01 | 18.85 | 14.27 | 11.53 | 9.69 | | | | | | | |
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4.
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Find the exponential model that 
fits the points shown in the graph.
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5.
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Find the exponential model that 
fits the points shown in the graph.
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6.
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Find the exponential model that 
fits the points shown in the table.
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7.
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A cell site is a site where electronic
communications equipment is placed in a cellular network for the use of mobile phones. The numbers of
cell sites from 1985 through 2008 can be modeled by  where t represents
the year, with  corresponding to 1985. Use the model to find
the numbers of cell sites in the year 2006 .
a. | 201,043 | b. | 199,043 | c. | 198,043 | d. | 197,043 | e. | 200,043 |
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8.
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Find the magnitude R of each earthquake of
intensity I  .
a. | 3.28 | b. | 5.28 | c. | 4.28 | d. | 2.28 | e. | 6.28 |
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9.
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An initial investment of $9000 grows at an annual
interest rate of 5% compounded continuously. How long will it take to double the
investment?
a. | 1 year | b. | 14.40 years | c. | 13.86
years | d. | 14.86 years | e. | 13.40 years |
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10.
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Carbon dating presumes that, as long as a plant or
animal is alive, the proportion of its carbon that is 14C is constant. The amount of
14C in an object made from harvested plants, like paper, will decline exponentially
according to the equation  , where A represents the amount of
14C in the object, Ao represents the amount of 14C in living
organisms, and t is the time in years since the plant was harvested. If an archeological
artifact has 40% as much 14C as a living organism, how old would you predict it to be?
Round to the nearest year.
a. | 5715 years | b. | 30,411 years | c. | 87
years | d. | 7554 years | e. | 16,006 years |
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