Question
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2. You invest R7 400 at \( 10,5 \% \) simple interest for 3 months. 2.1 Calculate the interest you will receive during this period. 2.2 Calculate how much money you will have in your account after this time period.

Ask by Howell Kelley. in South Africa
Feb 04,2025

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Answer

You will receive R194.25 in interest and have a total of R7,594.25 in your account after 3 months.

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The Deep Dive

To calculate the interest, we use the formula for simple interest: \( \text{Interest} = P \times r \times t \), where \( P \) is the principal amount, \( r \) is the interest rate (in decimal), and \( t \) is the time in years. Here, \( P = R7 400 \), \( r = 0.105 \), and \( t = \frac{3}{12} = 0.25 \). Plugging in the numbers: \[ \text{Interest} = R7 400 \times 0.105 \times 0.25 = R194.25. \] So, the interest you will receive during this period is R194.25. To find the total amount in your account after the 3 months, you add the interest to the principal amount: \[ \text{Total} = P + \text{Interest} = R7 400 + R194.25 = R7 594.25. \] Therefore, you will have R7 594.25 in your account after this time period.

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