The formula I = (Prt)/100 gives the simple interest earned, in dollars, for a deposit of P dollars earning simple interest at a rate of r percent for t years. Jackson invested $7,500.00 for a period of 2 years in a new account that earned simple interest at a rate of 2.5 percent. There were no other transactions in the account. What was the total amount of interest earned by the account for the 2-year period?
$375.00
To calculate the total interest earned, we apply the formula I = (Prt)/100. Substituting the values P = 7500, r = 2.5, and t = 2 into the formula yields an interest of $375.00 over the 2-year period.
This option incorrectly represents the total interest earned. If we had calculated the interest for only 1 year using the formula, the result would have been $187.50, which is less than the actual interest for 2 years.
This figure reflects the interest earned for just one year, not the full 2-year period. The calculation for one year would be I = (7500 * 2.5 * 1)/100 = $187.50. However, since the investment duration is 2 years, this choice does not account for the complete interest accrued.
This is the correct calculation for the total interest earned over the 2 years. By using the formula I = (7500 * 2.5 * 2)/100, we find I = $375.00, accurately reflecting the interest earned during the entire investment period.
This choice represents an incorrect calculation, as it suggests an interest amount that would imply a much higher rate or longer duration than stated. The correct application of the formula clearly shows that the total interest earned is significantly lower.
The total interest earned by Jackson's investment of $7,500.00 at a rate of 2.5 percent over 2 years is accurately calculated to be $375.00. This value is derived from correctly applying the simple interest formula, which takes into account the principal amount, interest rate, and time period. The other options misrepresent the calculations based on either incomplete durations or incorrect interpretations of the interest formula.
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