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hvvrq $ulwkphwlf 6htxhqfhv dqg 6hulhv - NCPN
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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