Answer:
26. 106
27. -7.9% per year
28. shrinking
29. 31
30. $9560.92
31. $8243.61
Step-by-step explanation:
26. The value when t=0 is 106·.921^0 = 106·1 = 106
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27. The rate of change is 0.921 -1 = -0.079 = -7.9% per year. It is a good idea to put the sign with the rate of change, so you know whether it is increasing or decreasing. Also, units are a good idea: "per year."
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28. The negative rate of change means the population is shrinking.
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29. In 15 years ...
y = 106·0.921^15 ≈ 30.8 ≈ 31
In 15 years the deer population is predicted to be 31 deer.
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30. $5000(1 +.065/12)^(12·10) ≈ $9560.92 . . . . units are a good idea (dollars)
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31. $5000·e^(.05·10) ≈ $8243.61 . . . . the exponential term has a time multiplier
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Numbers are correct. IMO, some details need attention.
