MS 101 Alg & Trig test one Name:

03 June 2011

1. __________ How many great-great... great-grandparents did you have in generation 11? That is, with you as generation zero, how many grandparents in the 11th generation?
2. __________ If one generation is 28 years, how many years ago would 11 generations be?
3. __________ Suppose you have five children and they each have five children who each have five children and so forth. Write the function for this system.
4. __________ Use the above function for five children in every generation and WolframAlpha.com to determine the number of children in generation 4.
5. __________ A ball bounce function is given by $f\left(x\right)=100\mathrm{\times }{0.74}^x$ where x is the bounce number and f(x) is the bounce height. Evaluate this function at x = 10 bounces.
6. __________ A ball bounce function is given by $f\left(x\right)=100\mathrm{\times }{0.74}^x$ where x is the bounce number and f(x) is the bounce height. Solve for the bounce number x where f(x) is 1.0926 centimeters high .
7. __________ For the function shown in the chart, determine the height of the 14th bounce.
   
8. __________ The compound interest formula is given by: $A=P{(1+\frac{r}{n})}^{nt}$ For a principal P of $1000, an interest rate r of 0.05, compounded n = 4 times a year, calculate the Amount A after a time t of ten years.
9. __________ The continously compounding interest formula is given by: $A=P{e}^{rt}$ For a principal P of $1000, an interest rate r of 0.05,calculate the Amount A after a time t of ten years.
10. Use WolframAlpha.com to produce a graph of y = 10^−x. Draw a sketch of that graph below.