If $10,000 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years? Options.
A) 10,000(x^n) B) 10,000(x/100)^n C) 10,000n(x/100) D) 10,000(1+x/100)^n E) 10,000n(1+x/100)
The reasoning is from the following:   The formula for simple rate of interest is F = P(1+rt) where   F = future value   P = present value   r = rate   t = time   We can substitute x for r   n for t   and 10,000 in for P   F = 10,000(1+xn)   This formula will tell you the principal (original amount invested) + interest, but we only want interest, so the "1+" portion of the formula in unnecessary. --&gt;   F = 10,000(xn)   Now, we need to get the x into terms of a percentage, so we divide x by 100 --&gt;   F = 10,000(n * x/100)   If we move the n outside the brackets, we get --&gt;   F = 10,000n(x/100)   ANSWER:10,000n(x/100)
<result>C</result>
If $10,000 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?