MHR • Advanced Functions 12 Solutions 660
MHR • Advanced Functions 12 Solutions 660
MHR • Advanced Functions 12 Solutions 660
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Chapter 7 Section 5 Question 4 Page 404<br />
Answers may vary. A sample solution is shown.<br />
The town may decide that the Lakeland Savings Bond account is now more favourable since<br />
Northern Equity will not be as flexible and the principle will mature to $80 000 slightly faster.<br />
Chapter 7 Section 5 Question 5 Page 404<br />
Answers may vary. A sample solution is shown.<br />
A = 50 000(1.0325) 2t<br />
80 000 = 50 000(1.0325) 2t<br />
8<br />
5 = 1.03252t<br />
log 8 = 2t log1.0325<br />
5<br />
2t =<br />
t =<br />
log 8 5<br />
log1.0325<br />
log 8 5<br />
2log1.0325<br />
A = 50 000(1.005) <strong>12</strong>t<br />
80 000 = 50 000(1.005) <strong>12</strong>t ! 0.01(50 000)<br />
805<br />
500 = (1.005)<strong>12</strong>t<br />
log 805 = <strong>12</strong>t log1.005<br />
500<br />
log 805<br />
<strong>12</strong>t = 500<br />
log1.005<br />
t &= 7.35<br />
t &= 7.96<br />
Rural Ontario Investment Group takes a little less time to make $80 000 (7.35 years) so it could<br />
be considered. Muskoka Guaranteed Certificate takes approximately the same amount of time as<br />
the other options, so it doesn’t need to be considered.<br />
t =<br />
log 805<br />
500<br />
<strong>12</strong>log1.005<br />
Chapter 7 Section 5 Question 6 Page 405<br />
a) Answers may vary. A sample solution is shown.<br />
increasing in a curved pattern<br />
<strong>MHR</strong> <strong>•</strong> <strong>Advanced</strong> <strong>Functions</strong> <strong>12</strong> <strong>Solutions</strong> 723
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