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Section 3.1 Exponential Functions and Their Graphs 201
57.
P 12,000, r 4% 0.04
A Pe rt 12000e 0.04t
t 1 10 20 30 40 50
A 12,489.73 17,901.90 26,706.49 39,841.40 59,436.39 88,668.67
58. P 12,000, r 6% 0.06, compounded continuously: A Pe rt 12,000e 0.06t
t 1 10 20 30 40 50
A 12,742.04 21,865.43 39,841.40 75,595.77 132,278.12 241,026.44
59.
P 12,000, r 3.5% 0.035
A Pe rt 12,000e 0.035t
t 1 10 20 30 40 50
A 12,427.44 17,028.81 24,165.03 34,291.81 48,662.40 69,055.23
60. P 12,000, r 2.5% 0.025, compounded continuously: A Pe rt 12,000e 0.025t
t 1 10 20 30 40 50
A 12,303.78 15,408.31 19,784.66 25,404.00 32,619.38 41,884.12
61.
63.
A 25
1 0.1212 48 1
0.1212 62.
25
1.01 48 1
0.01
$1530.57
A 200
1 0.0612 72 1
0.0612 64.
$17,281.77
A 100
1 0.0912 60 1
0.0912
$7542.41
A 75
1 0.0312 24 1
0.0312
$1852.71
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65.
p 5000 1
(a)
1200
0
0
4
4 e 0.002x
2000
(b) If x 500, p $421.12.
(c) For x 600, p $350.13.
x 100 200 300 400 500 600 700
p 849.53 717.64 603.25 504.94 421.12 350.13 290.35