Suppose the cost of an object appreciates at a rate inversely proportional to the sum of its squared cost and 300. The object cost $240 when first purchased, but is worth $45 more after one year. Answer the following. 9) Use the second condition to find the constant of proportion. 10) Find the appreciation rate at t = 1 year. Round your answer to the nearest cent.
Suppose the cost of an object appreciates at a rate inversely proportional to the sum of its squared cost and 300. The object cost $240 when first purchased, but is worth $45 more after one year. Answer the following. 9) Use the second condition to find the constant of proportion. 10) Find the appreciation rate at t = 1 year. Round your answer to the nearest cent.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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answer 9 and 10 using the information
![**Mathematics Problem on Rate of Appreciation**
**Problem Statement:**
Suppose the cost of an object appreciates at a rate inversely proportional to the sum of its squared cost and 300. The object cost \$240 when first purchased, but is worth \$45 more after one year. Answer the following questions:
**Questions:**
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9. Use the second condition to find the constant of proportion.
10. Find the appreciation rate at \( t = 1 \) year. Round your answer to the nearest cent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6bc5b610-4c42-40dc-b81a-6ff9e1fb2857%2F60c0f57a-b00e-4c4a-9411-e9359e5b02e3%2Fimtk7qe_processed.png&w=3840&q=75)
Transcribed Image Text:**Mathematics Problem on Rate of Appreciation**
**Problem Statement:**
Suppose the cost of an object appreciates at a rate inversely proportional to the sum of its squared cost and 300. The object cost \$240 when first purchased, but is worth \$45 more after one year. Answer the following questions:
**Questions:**
1. *[Content Redacted]*
2. *[Content Redacted]*
3. *[Content Redacted]*
4. *[Content Redacted]*
5. *[Content Redacted]*
6. *[Content Redacted]*
7. *[Content Redacted]*
8. *[Content Redacted]*
9. Use the second condition to find the constant of proportion.
10. Find the appreciation rate at \( t = 1 \) year. Round your answer to the nearest cent.
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