Exam 4: Exponential Functions

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The size N , in thousands, of a certain animal population after The size N , in thousands, of a certain animal population after   years is given in the table below. By what percentage can the population be expected to grow over any 9-year period?   years is given in the table below. By what percentage can the population be expected to grow over any 9-year period? The size N , in thousands, of a certain animal population after   years is given in the table below. By what percentage can the population be expected to grow over any 9-year period?

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If log(t)\log ( t ) is 7.15, then the value of log(27.54t) is \log ( 27.54 t ) \text { is }

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If a function decreases by 6% each year, then the yearly decay factor is

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Find an exponential model for the following data set. Find an exponential model for the following data set.

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The half-life of a certain radioactive substance is 7 years. What is the yearly percentage decay rate for this substance?

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Find an exponential model for the following data set. Find an exponential model for the following data set.

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The magnitude of earthquake 1 is 5.9. If earthquake 2 is 13.49 times as intense as earth- quake 1, find the magnitude of earthquake 2. Round your answer to 1 decimal place.

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The formula for an exponential function is Y=640×0.96tY = 640 \times 0.96 ^ { t} Then the decay factor is:

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Use exponential regression to determine what happens to yy when t is increased by 1 unit.  Use exponential regression to determine what happens to  y  when t is increased by 1 unit.

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A radioactive substance is decaying exponentially with yearly decay factor 0.95. What is the decade decay factor?

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The formula for an exponential function is Y=639×0.62tY = 639 \times 0.62 ^ { t} Then the decay factor is:

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If log(t)\log ( t ) is 7.12, then the value of log(436.52t)\log ( 436.52 t ) is

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Find an exponential model for the following data set. Find an exponential model for the following data set.

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The formula for an exponential function is y=54×0.94ty = 54 \times 0.94 ^ { t } , where  The formula for an exponential function is  y = 54 \times 0.94 ^ { t }  , where   is measured in months. Then the monthly percentage decay rate for  y  is is measured in months. Then the monthly percentage decay rate for yy is

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Solve the equation 14.24×1.07t=52.96×1.03t.14.24 \times 1.07 ^ { t } = 52.96 \times 1.03 ^ { t } .

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The formula for an exponential function is y=56×0.93ty = 56 \times 0.93 ^ { t } , where  The formula for an exponential function is  y = 56 \times 0.93 ^ { t }  , where   is measured in months. Then the monthly percentage decay rate for  y  is is measured in months. Then the monthly percentage decay rate for yy is

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Find an exponential model for the following data set. Find an exponential model for the following data set.

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The size N , in thousands, of a certain animal population after The size N , in thousands, of a certain animal population after   years is given in the table below. Use exponential regression to model the population size as a function of time.   years is given in the table below. Use exponential regression to model the population size as a function of time. The size N , in thousands, of a certain animal population after   years is given in the table below. Use exponential regression to model the population size as a function of time.

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Use exponential regression to determine what happens to yy when 1 is added to t. t 1.48 4.66 7.7 11.05 14.44 y 4.82 18.67 75.09 360.67 1772.68

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Find an exponential model for the following data set. Find an exponential model for the following data set.

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