If money loses value, then as time passes, it takes more dollars to buy the same item. Use the table to answer the questions. Let t b years and y be the value of $1 in t years. 3 4 y 0.92 0.85 0.78 0.72 0.66 0.61 (a) Suppose a house costs $106,000 today. Estimate the cost of the same house in 2 years. (b) Estimate the cost of a $60 textbook in 5 years. (a) Suppose a house costs $106,000 today. Estimate the cost of the same house in 2 years. The house will cost about dollars. (Round to the nearest dollar as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Can you answer A and b please
**Understanding the Effects of Inflation Over Time**

If money loses value, then as time passes, it takes more dollars to buy the same item. Use the table below to answer the questions. Let \( t \) be the number of years and \( y \) be the value of $1 in \( t \) years.

| \( t \) | 1   | 2   | 3   | 4   | 5   | 6   |
|--------|-----|-----|-----|-----|-----|-----|
| \( y \) | 0.92 | 0.85 | 0.78 | 0.72 | 0.66 | 0.61 |

---

### Exercise 1

(a) Suppose a house costs $106,000 today. Estimate the cost of the same house in 2 years.

(b) Estimate the cost of a $60 textbook in 5 years.

---

### Solution

(a) Suppose a house costs $106,000 today. Estimate the cost of the same house in 2 years.

The house will cost about ______________ dollars. (Round to the nearest dollar as needed.)

---

**Instructions:**

1. Calculate the new cost using the provided value for \( t = 2 \).
   - For the house example: \( 106,000 \times \frac{1}{0.85} \)
   - For the textbook example: \( 60 \times \frac{1}{0.66} \)

2. Enter your answer in the answer box and then click "Check Answer."
Transcribed Image Text:**Understanding the Effects of Inflation Over Time** If money loses value, then as time passes, it takes more dollars to buy the same item. Use the table below to answer the questions. Let \( t \) be the number of years and \( y \) be the value of $1 in \( t \) years. | \( t \) | 1 | 2 | 3 | 4 | 5 | 6 | |--------|-----|-----|-----|-----|-----|-----| | \( y \) | 0.92 | 0.85 | 0.78 | 0.72 | 0.66 | 0.61 | --- ### Exercise 1 (a) Suppose a house costs $106,000 today. Estimate the cost of the same house in 2 years. (b) Estimate the cost of a $60 textbook in 5 years. --- ### Solution (a) Suppose a house costs $106,000 today. Estimate the cost of the same house in 2 years. The house will cost about ______________ dollars. (Round to the nearest dollar as needed.) --- **Instructions:** 1. Calculate the new cost using the provided value for \( t = 2 \). - For the house example: \( 106,000 \times \frac{1}{0.85} \) - For the textbook example: \( 60 \times \frac{1}{0.66} \) 2. Enter your answer in the answer box and then click "Check Answer."
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