1. Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 6 By Herb I. Gross and Richard A. Medeiros next

2. The following five problems are designed to help you make sure that you have internalized the material in this presentation. We suggest that you treat these problems as if they were a test. © 2007 Herbert I. Gross After you have worked on these problems check your answers against the ones that are given. Then read through our solutions and commentary in the Problem/Solution PowerPoint Presentation. next

3. Which number is greater and by how much 2 10 or 10 3 ? Problem #1 © 2007 Herbert I. Gross

4. next Knowing that 2 3 = 8, find the value of n for which 8 4 = 2 n. Problem #2 © 2007 Herbert I. Gross

5. next Knowing than 2 + 8 = 10 whenever 2, 8, and 10 modify the same noun, for what value of n does 2(10 5 ) + 8(10) 5 = 10 n? Problem #3 © 2007 Herbert I. Gross

6. next a. Between what two consecutive whole number values for n is it true that (1.14) n = 2? Problem #4 © 2007 Herbert I. Gross

7. next b. To the nearest year how long will it take for $30,000 to double in value if it is invested at an interest rate of 14% compounded annually. Problem #4 © 2007 Herbert I. Gross

8. next a. You invest $10,000 at an interest rate of 8% compounded annually. To the nearest dollar, how much will the investment be worth in 5 years? Problem #5 © 2007 Herbert I. Gross

9. next b. To the nearest dollar, how much money must you invest now at a 8% rate of interest compounded annually if you want the value of the investment to be $10,000 five years from now? Problem #5 © 2007 Herbert I. Gross