Answers to Assigned Problems in Lesson 05
- \( P(t) = 11000(1.085)^t \)
- \( P(t) = 6000(1.012)^t \)
- \( P(t) = 32500(0.95)^t. P(12) \approx $ 17,561 \)
- \( P(t) = 125000(0.88)^t. P(6) \approx $ 58,050 \)
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Answers:
Annually: \( P(t) = 4000(1.07)^t. P(9) \approx $ 7,353.84. \)
Quarterly: \( P(t) = 4000(1.0175)^t. P(9 \cdot 4) \approx $ 7,469.63. \)
Monthly: \( P(t) = 4000(1.0058)^t. P(9\cdot 12) \approx $ 7,469.92. \)
Continuously: \( P(t) = 4000e^{0.07t}. P(9) \approx $ 7,510.44. \)
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Answers:
Annually: \( P(t) = 6000(1.09)^t. P(5) \approx $ 9,231.74. \)
Quarterly: \( P(t) = 6000(1.0225)^t. P(5\cdot 4) \approx $ 9,363.06. \)
Monthly: \( P(t) = 6000(1.0075)^t. P(5\cdot 12) \approx $ 9,394.09. \)
Continuously: \( P(t) = 6000e^{0.09t}. P(5) \approx $ 9,409.87. \)