This document contains examples of algebraic expressions, formulas for compound interest, and continuous compound interest. Some of the algebraic expressions include: -10, -2a^2 + 6a - 4, (2a-2)/(a-2). The compound interest problems provide the principal, rate, and time for calculating interest amounts. The continuous compound interest problems similarly provide the principal, rate, and time for calculating accumulated values over time with continuous compounding.

1. Notation and Algebra of Functions
1. –10 3. –2 5. 3/2 7. 12 9. 22 11. 5
13. –1 15. 1/4 17. –3 19. 0 21. 5
23. 3 + 4a 25. –2a2 + 6a – 4 27. (2a–2)/(a –2)
29. –b2 – 3b – 2 31. 6 33.
–3
(b + 1)(b –2)
35. –6b 37. 2x2 + 18x + 5 39. a. 9x b. 9x – 7
Compound interests
1. $3300.39 3. $1819.40 5. $1077.78 7. $1959. 09
9. $2081.67 11. $928.92 13. $ 5496.33 15. $927 8.50
17. $ 5104.40 19. $ 1790.85 21. $1822.03
23. $3105.85, $3300.39 $ 3319.46
25. $ 6191.74 $7268.25 $ 7385.07
27. 407.94 29. 116.35

2. Continuous Compound interests
1. $2718.28 $7389.06 $54598.15
3. $1648.72 $2718.28 $ 7389.06
5. $472.37 $223.13 $49.79
7. $778.80 $606.53 $367.88
9. $472.37 $223.13 $49.79 (this is the same as problem 5 but
stated in different language)