# exponential and logarithmic equations

Clearly label each problem.
Show and explain all work. No credit will be given if work is not shown. Make sure that your explanation shows understanding of the mathematical concepts used to solve the problem.
Include a statement with your final answer explaining what the answer means. For example, instead of providing a numerical answer only, say In two years, the account balance will be \$4507.98.

It is All About the Money
Congratulations! You have just come into a large sum of money. You make the wise decision to invest the money to use at a later date. Use the exponential equation to find the total amount in the investment account after a certain number of years.  Interest: If an initial principal P is invested at an annual rate r and the interest is compounded n times per year, the amount A in the account after t years is:

Choose an amount between \$5,000 and \$500,000 for p , the initial amount of money to invest.
Choose a rate between 2% and 11% for r , the interest rate per year.
Choose daily, monthly, or yearly for n , the number of times per year the interest will be compounded
Choose between 5 and 30 years for t , the number of years you will let the account grow.
Include what values you have chosen and find the value of the account at the end of the time period. How would you spend this money?.

Planning for the Future
You will complete a reflective essay to address the following questions which relate to your calculations from the problem above.

Consider what you know about personal financial matters. Where did you gain this knowledge? Did you learn about these matters in school or some other deliberate training, or did you learn from personal experience? Are you satisfied with your level of knowledge on personal financial matters? Are you satisfied with how you have handled money in the past?
Consider your calculations from the problem above. How do changes in interest rate, time, and compounding affect the amount of interest earned on an investment? What changes will you make in the way you deal with money based on what you learned?
What do you wish you had known earlier in your financial life? What financial advice would you give to a young person just starting out?

Your essay should have an introduction, body, and conclusion. A good way to plan this particular reflective essay is to write an introduction to the essay. Next, write at least three body paragraphs and address each of the points listed above. End your essay with a conclusion paragraph tying all of your ideas together. The essay should be at least five paragraphs in length. Share your essay as an attachment.  You are expected to use outside sources for this essay. Cite outside sources in proper APA format. You can find numerous APA resources in the Writing Center Writing Reference Library on the Research, Citation, and Plagiarism page.

Your essay should include a highly developed purpose and viewpoint; it should also be written in Standard American English and demonstrate exceptional content, organization, style, grammar, and mechanics. There should be no evidence of plagiarism. If you are unsure about what constitutes plagiarism, please review the plagiarism policy.

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