Question

You borrow R8 000 for 2 years, on the condition that you pay simple interest. How much will you have to pay back?

Ask by Estrada Carter. in South Africa
Feb 04,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

To calculate the total amount to be paid back, use the simple interest formula \( A = P(1 + rt) \). However, the interest rate \( r \) is not provided. Please specify the interest rate to determine the total amount.

Solution

To calculate the total amount to be paid back on a loan with simple interest, we can use the formula: \[ A = P(1 + rt) \] where: - \(A\) is the total amount to be paid back, - \(P\) is the principal amount (the initial amount borrowed), - \(r\) is the annual interest rate (as a decimal), - \(t\) is the time in years. However, the problem does not specify the interest rate. Let's denote the interest rate as \(r\). Given: - \(P = 8000\) - \(t = 2\) The formula becomes: \[ A = 8000(1 + 2r) \] To find the total amount \(A\), we need the value of \(r\). If you provide the interest rate, I can calculate the total amount to be paid back.

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Mind Expander

To calculate how much you'll pay back with simple interest, you can use the formula: Interest = Principal × Rate × Time. Assuming an interest rate of 10% per annum for simplicity, that would mean: Interest = R8,000 × 0.10 × 2 years = R1,600. Therefore, the total amount you’ll repay is the principal plus interest: R8,000 + R1,600 = R9,600. So, you’ll pay back R9,600 at the end of 2 years. Simple interest is a straightforward method that doesn’t compound, so knowing the terms of your loan is crucial. When agreeing to those terms, it's always smart to clarify the interest rate upfront! Avoid common mistakes like forgetting to account for the rate or miscalculating the time frame, as they can significantly affect what you owe in the end.

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