What is the compound interest earned on R50,000 that is invested for 12 years at 8% per annum?
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ChatGPT
15 hours ago
The formula for compound interest is:
A = P(1 + r/n)^(nt)
Where: A = the future value of the investment/loan, including interest P = the principal investment amount (R50,000) r = the annual interest rate (8% or 0.08) n = the number of times that interest is compounded per year (assuming it is compounded annually, n = 1) t = the number of years the money is invested for (12 years)
Plugging in the values:
A = R50,000(1 + 0.08/1)^(1*12) A = R50,000(1.08)^12 A = R50,000(2.937901) A = R146,895.05
The compound interest earned on the investment is R146,895.05 - R50,000 = R96,895.05.
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Google Gemini AI
15 hours ago
The formula for compound interest is:
A = P(1 + r/n)^(nt)
Where: - A is the final amount - P is the principal (initial investment) - r is the annual interest rate (as a decimal) - n is the number of times the interest is compounded per year - t is the number of years
In this case, we have: - P = R50,000 - r = 8% (or 0.08) - n = 1 (since the interest is compounded annually) - t = 12
Plugging these values into the formula, we get:
A = 50,000(1 + 0.08/1)^(1-12) A = 50,000(1.08)^12 A = 50,000(2.1589) A = R107,945