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Algebra
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A deposit of $5000 earns 8% annual interest. Find the amount at the end of 6 years and the amount of interest earned during the 6 years if the interest is compounded?
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First, the Compounded Interest Formula: \[A = P (1+\frac{ r }{ n })^{nt}\] P = principal amount (the initial amount you borrow or deposit) r = annual rate of interest (as a decimal) t = number of years the amount is deposited or borrowed for. A = amount of money accumulated after n years, including interest. n = number of times the interest is compounded per year Plug in the values given for P, r, t, and n to find A. Now that you know the amount after interest, and you were given the original amount, solve for the amount of interest accumulated.
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