.AcertificateofdepositispurchasedforGHS6000andisheldforsevenyears.Ifthe certificateearnsaninterestof8%,whatisitworthattheendoftheperiod?
Question
A certificate of deposit is purchased for GHS 6000 and is held for seven years. If the certificate earns an interest of 8%, what is it worth at the end of the period?
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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