Pre-Calculus Homework Solutions 179

Pre-Calculus Homework Solutions 179 - 4. Stage 1: 2, Stage...

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4. Stage 1: 2, Stage 2: 6, Stage 3: 14, Stage 4: 30 5. Stage Number of Branches Pattern 12 2 ( 2 1 2 1) 26 2 ( 2 2 2 1) 31 4 2 ( 2 3 2 1) 43 0 2 ( 2 4 2 1) The formula is twice the difference of 2 to a power that is the stage number and 1: A n 5 2(2 n 2 1). 6. No, the base of the tree or segment of a branch without an end does not contain a replica of the entire tree. 7. Ï 2 w < ¬ 1.4142… Ï Ï 2 w w < ¬ 1.1892… 8. Ï Ï Ï 2 w w w < 1.0905…; the results are getting closer to 1, so the result after 100 repeats approaches 1. 9. Yes, the procedure is repeated over and over again. 10. First, write an equation to find the balance after one year. current balance 1 (current balance 3 interest rate) 5 new balance 4000 1 (4000 ? 0.011) 5 4044 4044 1 (4044 ? 0.011) 5 4088.48 4088.48 1 (4088.48 ? 0.011) 5 4133.45 4133.45 1 (4133.45 ? 0.011) 5 4178.92 After compounding interest four times, Jamir will have $4178.92 in the account. Pages 328–331 Practice and Apply 11. 9 holes 12. 73 holes 13. Yes, any part contains the same figure as the whole, 9 squares with the middle shaded. 14. Stage Number of Dots Pattern 111 1 0 232 1 1 363 1 3 41 04 1 6 The formula is the stage number plus the number of dots in the previous stage:
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