Rodriquez Davies
01/05/2023 · Elementary School

for mhen he son woe 7 years old. Adviser mode a depoit of 25 suo in the bank. The investmont gron at a simple interest rate and when Advisur's son was 28 years old, the value of the invest- ment was RII 972 , o0. At what rate the money nas invested

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Let's denote the principal amount (initial deposit) as \( P = 25 \) soles, the time period as \( t = 28 - 7 = 21 \) years, and the final amount as \( A = 972 \) soles. The formula for calculating the final amount with simple interest is given by: \[ A = P + P \times r \times t \] where: - \( A \) is the final amount, - \( P \) is the principal amount, - \( r \) is the interest rate, - \( t \) is the time period in years. We are given that \( A = 972 \), \( P = 25 \), and \( t = 21 \). We need to find the interest rate \( r \). Substitute the given values into the formula: \[ 972 = 25 + 25 \times r \times 21 \] Now, we can solve for the interest rate \( r \) using the equation above. Solve the equation by following steps: - step0: Solve for \(r\): \(972=25+25r\times 21\) - step1: Multiply the terms: \(972=25+525r\) - step2: Swap the sides: \(25+525r=972\) - step3: Move the constant to the right side: \(525r=972-25\) - step4: Subtract the numbers: \(525r=947\) - step5: Divide both sides: \(\frac{525r}{525}=\frac{947}{525}\) - step6: Divide the numbers: \(r=\frac{947}{525}\) The interest rate at which the money was invested is approximately \( r = 1.803809523 \) or \( r = \frac{947}{525} \).

Quick Answer

The interest rate is approximately \( r = 1.803809523 \) or \( r = \frac{947}{525} \).
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