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Algebra (Assignment Problems) / Exponential and Logarithm Functions / Applications   [Notes] [Practice Problems] [Assignment Problems]

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On August 21 I am planning to perform a major update to the site. I can't give a specific time in which the update will happen other than probably sometime between 6:30 a.m. and 8:00 a.m. (Central Time, USA). There is a very small chance that a prior commitment will interfere with this and if so the update will be rescheduled for a later date.

I have spent the better part of the last year or so rebuilding the site from the ground up and the result should (hopefully) lead to quicker load times for the pages and for a better experience on mobile platforms. For the most part the update should be seamless for you with a couple of potential exceptions. I have tried to set things up so that there should be next to no down time on the site. However, if you are the site right as the update happens there is a small possibility that you will get a "server not found" type of error for a few seconds before the new site starts being served. In addition, the first couple of pages will take some time to load as the site comes online. Page load time should decrease significantly once things get up and running however.


Paul
August 7, 2018


Algebra - Assignment Problems
Polynomial Functions Previous Chapter   Next Chapter Systems of Equations
Solving Logarithm Equations Previous Section   Next Section Systems of Equations (Introduction)

 Applications

 

1. We have $2,500 to invest and 80 months.  How much money will we have if we put the money into an account that has an annual interest rate of 9% and interest is compounded

    (a) quarterly                                     (b) monthly                             (c) continuously

 

 

2. We are starting with $60,000 and we’re going to put it into an account that earns an annual interest rate of 7.5%.  How long will it take for the money in the account to reach $100,000 if the interest is compounded

    (a) quarterly                                     (b) monthly                             (c) continuously

 

 

3. Suppose that we put some money in an account that has an annual interest rate of 10.25%.  How long will it take to triple our money if the interest is compounded

    (a) twice a year                                (b) 8 times a year                    (c) continuously

 

4. A population of bacteria initially has 90,000 present and in 2 weeks there will be 200,000 bacteria present.

   (a) Determine the exponential growth equation for this population.

   (b) How long will it take for the population to grow from its initial population of 90,000

         to a population of 150,000?

 

 

5. We initially have 2 kg grams of some radioactive element and in 7250 years there will be 1.5 kg left.

   (a) Determine the exponential decay equation for this element.

   (b) How long will it take for half of the element to decay?

   (c) How long will it take until there is 250 grams of the element left?

 

 

6. For a particular radioactive element the value of k in the exponential decay equation is given by .

   (a) How long will it take for a quarter of the element to decay?

   (b) How long will it take for half of the element to decay?

   (c) How long will it take 90% of the element to decay?

 

Solving Logarithm Equations Previous Section   Next Section Systems of Equations (Introduction)
Polynomial Functions Previous Chapter   Next Chapter Systems of Equations

Algebra (Assignment Problems) / Exponential and Logarithm Functions / Applications    [Notes] [Practice Problems] [Assignment Problems]

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