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
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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:**

1. *[Content Redacted]*

2. *[Content Redacted]*

3. *[Content Redacted]*

4. *[Content Redacted]*

5. *[Content Redacted]*

6. *[Content Redacted]*

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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.
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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