.AcertificateofdepositispurchasedforGHS6000andisheldforsevenyears.Ifthe certificateearnsaninterestof8%,whatisitworthattheendoftheperiod?
Question
.AcertificateofdepositispurchasedforGHS6000andisheldforsevenyears.Ifthe certificateearnsaninterestof8%,whatisitworthattheendoftheperiod?
Solution
To find out the worth of the certificate of deposit at the end of the period, we need to calculate the compound interest.
Here's the step-by-step calculation:
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Identify the principal amount, the rate of interest, and the time period. In this case, the principal (P) is GHS 6000, the rate of interest (r) is 8% or 0.08 (in decimal form), and the time (t) is 7 years.
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Use the formula for compound interest, which is A = P(1 + r/n)^(nt). In this case, since the interest is likely compounded annually, n would be 1.
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Substitute the values into the formula: A = 6000(1 + 0.08/1)^(1*7).
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Simplify the equation: A = 6000(1 + 0.08)^7.
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Calculate the value: A = 6000(1.08)^7.
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The final value, A, is approximately GHS 9,753.87.
So, the certificate of deposit is worth approximately GHS 9,753.87 at the end of the seven-year period.
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