Question
at what monthly rate was a capital of R$25,005 invested which yielded R$15,000 in interest over 6 months and 15 days
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Answer to a math question at what monthly rate was a capital of R$25,005 invested which yielded R$15,000 in interest over 6 months and 15 days
Frederik
4.6103 Answers
To solve for the monthly rate, we can use the formula for simple interest, which is: I=P\cdot r\cdot t
where:
- \( I \) is the interest earned,
- \( P \) is the principal amount,
- \( r \) is the monthly interest rate,
- \( t \) is the time in months.
Given:I=15,000.00 P=25,005.00 t=6.5
1. Substitute \( I \), \( P \), and \( t \) into the simple interest formula:
15,000 = 25,005 \cdot r \cdot 6.5
2. Rearrange the equation to solve for \( r \):
r = \frac{15,000}{25,005 \cdot 6.5}
3. Perform the computation:
r=\frac{15,000}{162,532.5}\approx0.0922892
4. Convert the decimal to a percentage:
r=9.22892\%
Answer: \( r \) is approximately 9.22892%.
where:
- \( I \) is the interest earned,
- \( P \) is the principal amount,
- \( r \) is the monthly interest rate,
- \( t \) is the time in months.
Given:
1. Substitute \( I \), \( P \), and \( t \) into the simple interest formula:
2. Rearrange the equation to solve for \( r \):
3. Perform the computation:
4. Convert the decimal to a percentage:
Answer: \( r \) is approximately 9.22892%.
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