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.
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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.