In Exercises 47-52, the graph of a logarithmic function is given. Select the function for each graph from the following options: f ( x ) = log 3 x ⋅ g ( x ) = log 3 ( x − 1 ) , h ( x ) = log 3 x − 1 , F ( x ) = − log 3 x ⋅ G ( x ) = log 3 ( − x ) , H ( x ) = 1 − log 3 x ⋅
In Exercises 47-52, the graph of a logarithmic function is given. Select the function for each graph from the following options: f ( x ) = log 3 x ⋅ g ( x ) = log 3 ( x − 1 ) , h ( x ) = log 3 x − 1 , F ( x ) = − log 3 x ⋅ G ( x ) = log 3 ( − x ) , H ( x ) = 1 − log 3 x ⋅
Solution Summary: The author explains that the graph belongs to the family of logarithmic function.
Compare the interest earned from #1 (where simple interest was used) to #5 (where compound interest was used). The principal, annual interest rate, and time were all the same; the only difference was that for #5, interest was compounded quarterly. Does the difference in interest earned make sense? Select one of the following statements. a. No, because more money should have been earned through simple interest than compound interest. b. Yes, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. c. No, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. d. Yes, because more money was earned when compounded quarterly. For compound interest you earn interest on interest, not just on the amount of principal.
Compare and contrast the simple and compound interest formulas. Which one of the following statements is correct? a. Simple interest and compound interest formulas both yield principal plus interest, so you must subtract the principal to get the amount of interest. b. Simple interest formula yields principal plus interest, so you must subtract the principal to get the amount of interest; Compound interest formula yields only interest, which you must add to the principal to get the final amount. c. Simple interest formula yields only interest, which you must add to the principal to get the final amount; Compound interest formula yields principal plus interest, so you must subtract the principal to get the amount of interest. d. Simple interest and compound interest formulas both yield only interest, which you must add to the principal to get the final amount.
Sara would like to go on a vacation in 5 years and she expects her total costs to be $3000. If she invests $2500 into a savings account for those 5 years at 8% interest, compounding semi-annually, how much money will she have? Round your answer to the nearest cent. Show you work. Will she be able to go on vacation? Why or why not?
Chapter 4 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Algebra and Trigonometry (6th Edition)
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