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Answers to Math<br />

Applications<br />

Math Applications for this<br />

chapter are on pages 422–429.<br />

The notes and solutions shown<br />

below accompany the suggested<br />

applications to assign with this<br />

lesson.<br />

3. a. 125 + 0.4x<br />

b. 125 + 0.4(300) = 125 +<br />

120 = 245<br />

c. 25 + 0.6x<br />

d. 25 + 0.6(200)<br />

= 25 + 120 = 145<br />

6. a. a 2<br />

= $750,000(1.1)<br />

= $825,000<br />

b. a 3<br />

= $825,000(1.1)<br />

= $907,500<br />

$905,000 < $907,500, so<br />

Mari did not earn a bonus.<br />

c. a 5<br />

= $750,000(1.1) 5–1 =<br />

$750,000(1.4641)<br />

= 1,098,075<br />

d. yes; a 2<br />

would now equal<br />

$900,000 instead of<br />

$825,000 and would<br />

increase each subsequent<br />

number.<br />

e. a n<br />

= 1.1(a n–1<br />

)<br />

7. a. For each 1 cent change<br />

in earnings per share, the<br />

closing share price changes<br />

0.68. The expression is<br />

0.68x.<br />

b. 0.68(9) = $6.12<br />

15. a. Each term is the product of<br />

the previous two terms, so<br />

a n<br />

= a n–2<br />

• a n–1<br />

b. 0.3 = 0.5(a n–2<br />

)<br />

0.6 = a n–2<br />

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396 Chapter 9 Sequences and Series

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