Pregunta
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8.4 A man invests R7 500 at \( 9 \% \) simple interest for 3 years. Calculate how much investmemt is worth at the end of the term.

Ask by Schwartz Gibbs. in South Africa
Feb 21,2025

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At the end of 3 years, the investment is worth R9,525.

Solución

To solve this problem using simple interest, we use the formula:   Interest = Principal × Rate × Time where   Principal (P) = R7,500,   Rate (r) = 9% per year = 0.09, and   Time (t) = 3 years. Step 1: Calculate the interest.   Interest = 7,500 × 0.09 × 3 = 7,500 × 0.27 = R2,025 Step 2: Add the interest to the principal to find the total amount.   Total Amount = Principal + Interest = 7,500 + 2,025 = R9,525 Thus, at the end of 3 years, the investment is worth R9,525.

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Bonus Knowledge

To calculate the total amount at the end of the term, you can use the formula for simple interest: \[ A = P + I \] where \( A \) is the total amount, \( P \) is the principal amount (R7,500), and \( I \) is the interest earned. First, calculate the interest: \[ I = P \times r \times t \] Here, \( r \) is the rate (0.09) and \( t \) is the time in years (3). \[ I = R7,500 \times 0.09 \times 3 = R2,025 \] Now, add the interest to the principal: \[ A = R7,500 + R2,025 = R9,525 \] Thus, at the end of the 3 years, the investment is worth R9,525. The great thing about simple interest is its straightforwardness. Unlike compound interest, which can be a bit tricky, simple interest gives you that predictable growth every year. This means that if you kept your money in a simple interest account, you'd always know how much extra cash you're making! If you're ever confused about your interest calculations, remember that many online calculators can do the heavy lifting for you! Just plug in your principal, rate, and time, and voilà! Always double-check any calculations—you don't want to miss out on the sweet, sweet interest that your money is earning!

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