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
101
likes506 views
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%.
Frequently asked questions (FAQs)
What is the measure of angle A in a triangle if side a = 8, side c = 10, and sin(A) = 0.6?
+
What is the value of x in the equation x^n + y^n = z^n, where n > 2, x, y, and z are positive integers, and no such values exist?
+
Math question: Find the derivative of f(x) = 3x^2 - 4x + 5 using the basic rules.
+
New questions in Mathematics