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3.3  Prep Assignment for the Natural Log Function

1.  Use your calculator to evaluate the following:

2.  Find the amount of money that will be available in 10 years from an account that pays  

     6.5% interest compounded continuously if you invest $5,000 now.

3.  Which is the better deal: an account that pays 8% interest compounded monthly or one

     that pays 7.5% interest compounded continuously?

4.  Suppose the coyote population in the Cuyahoga Valley National park can be estimated by 

     the formula:

     where t is the number of years after the year 2005. 

     a)  How many coyotes were in the park in 2005?

     b)  About how many coyotes will be in the park in 2015?

     c)  What is the relative rate of growth of the coyote population? Express your answer

          as a percentage.

5.   Metro Parks of Columbus and Franklin County has used sharpshooters since 1993 to  

      manage the population of deer in Sharon Woods Park.  In 2003, there were

      approximately 65 deer per square mile in the park.  If we use a continuous decay model

      with a decay rate of 18.17% for this scenario, how many deer per square mile were in

      the park in 1993 ?

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