Module 21 - Answers |
Lesson 1 |
Answer 1 |
21.1.1
The doubling time is about 10.7 years for each initial amount. It appears the doubling time is independent of the initial amount. It only depends on the rate r. |
![]() |
![]() |
Answer 2 |
21.1.2
The amount in the account at time t is given by A = 1000 e 0.07t. |
![]() |
![]() |
Answer 3 |
21.1.3 The investment will grow to approximately $8,166 in 30 years. |
![]() |
![]() |
Answer 4 |
21.1.4
The investment will grow to approximately $97,948 in 35 years. |
![]() |
![]() |
Answer 5 |
21.1.5
It will take about 6.4 years for the balance to reach $10,000. |
![]() |
![]() |
Lesson 2 |
Answer 1 |
21.2.1
After 60 minutes the water will be approximately 8.58° C. |
![]() |
![]() |
Lesson 3 |
Answer 1 |
21.3.1
If
|
![]() |
![]() |
Answer 2 |
21.3.2
k
|
![]() |
![]() |
Answer 3 |
21.3.3
The half-life is about 15.75 seconds. |
![]() |
![]() |
Self Test |
Answer 1 |
The initial $5000 will be worth $36,945.28 in 25 years at 8% compounded continuously. |
Answer 2 |
The investment will double in about 13.9 years. |
Answer 3 |
k |
Answer 4 |
The water will be approximately 11.4557°C after 60 minutes. |
Answer 5 |
k |
Answer 6 |
About 12.6 seconds. |
![]() |
©Copyright 2007 All rights reserved. | Trademarks | Privacy Policy | Link Policy |