# 1A Review of the Basics (Answers to Exercises)

1.1 Algebraic Expressions

1. $5a+1$
2. $20b^2+10b$
3. $2x^2+4x+4.5$
4. $(1+i)^{17}$
5. $4$
6. $I =$55.48$7. $15r^2 +3r+5$ 8. $1,024x^{40}$ 9. $0.75t+3.5t^3$ 10. $2 + 3(1+i)^3 -5(1+i)^6$ 11. $3.995628R$ 12. $0.0256$ 13. $PV=\2,550$ 14. $PMT= \246.64$ 15. $a^4 -9a^2 +18$ 16. $-2x^2 -0.6xy+4.8y^2 -7.2x+4.2y$ 17. $-\frac{3}{16}z^{-13}$ 18. $15,223.10$ 19. $39,963.05$ 20. $12,466.44$ 1.2 Linear Equations 1. $x=10$ 2. $b=1$ 3. $m=2$ 4. $x=4, y=2$ 5. $h=5, q=1$ 6. $a=8, b=0.6$ 7. $y=$620.14$
8. $t=6.1513̅$
9. $\text{Delay} = 1.5 hours$
10. $\text{10. Users in } 2000 = 107,998,376$
11. $\text{ Direct cost} = \3,000$
12. $\text{Gross income} = \140,000$
13. $\text{Single tickets} = 10,363; \text{3-pack Tickets} = 1,879$
14. $A = 700 \text{units}; B = 550 \text{ units}$
15. $\text{Company shares} =$975,000$16. $240 \text{ minutes}$ 17. $\text{Marianne} = \50,000; \text{William} = \40,000; \text{Hendrick} = \65,000; \text{Charlotte} =$20,000$
18. $\text{Regular stalls} = 10,860; \text{Handicap stalls} = 240; \text{Small car stalls} = 720; \text{RV stalls} = 180$
19. $Z = \25,000$
20. $q = 2.78; r = 9.31$

1.3 Natural Logarithms
$e^1.367188 = 3.9243$
$e^-0.295042 = 0.7445$
$e^0.609336 = 1.83921$
$e^2.585852 =12.2746$
$e^-2.051398 = 0.128555$
$0.392393$
$2.302585$
$1.811554$
$0.455460$
$0.519446$
$1.529094$
$50.517191$
$22.48254$
$36.904108$
$N=87.808096$
$N=160.423164$
$0.583198$
$1.451535$
$403.428793$
$33.115452$

## License

Fundamentals of Business Math Copyright © 2021 by Ana Duff, adapted from work by J. Olivier and D. Lippman is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.