ong-Term Investments   This exercise is based on the following table, which lists interest rates on long-term investments (based on 10-year government bonds) in several countries in 2014.† Country U.S. Japan Germany Australia Brazil Yield 2.5% 0.5% 1.0% 3.5% 4.2% If you invest $10,200 in the United States, and the interest is compounded monthly, when, to the nearest month, will your investment be worth $40,000?   months

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Long-Term Investments   This exercise is based on the following table, which lists interest rates on long-term investments (based on 10-year government bonds) in several countries in 2014.†
Country U.S. Japan Germany Australia Brazil
Yield 2.5% 0.5% 1.0% 3.5% 4.2%
If you invest $10,200 in the United States, and the interest is compounded monthly, when, to the nearest month, will your investment be worth $40,000?
  months
Expert Solution
Step 1

Given: 

Initial amount = P = $10,200

Final amount = A = $40,000

The interest rate in USA = 2.5% = 0.025

Number of times compounded monthly= n = 12

To find: The main aim is to find the number of months.

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