document.write( "Question 1132773: A worker deposits the proceeds from a bonus in
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document.write( "an account that earns an annual simple interest
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document.write( "rate of 5%. The worker leaves the money in the
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document.write( "account for 10 years without adding or withdrawing
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document.write( "money. Is the amount of interest earned in the eighth
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document.write( "year less than, equal to, or more than the amount of
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document.write( "interest earned in the fourth year \n" );
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Algebra.Com's Answer #749886 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "With simple interest, the amount of interest is always based on the original amount. So the amount of interest in each year is going to be the same. \n" ); document.write( "ANSWER: The amount of interest in the 8th year is equal to the amount of interest in the 4th year. \n" ); document.write( "---------------------------------------------------------- \n" ); document.write( "Added after seeing the response by tutor @MathTherapy.... \n" ); document.write( "He apparently thinks he knows everything, because all his responses say \"accept no other answer\". Unfortunately, his answers are not always right. \n" ); document.write( "Ignore his answer on this one; it is plain wrong. \n" ); document.write( "The situation he describes, where interest for a year is based on the total amount at the beginning of the year, is precisely what describes compound interest -- NOT simple interest. \n" ); document.write( "With compound interest, the amount of interest in each year is more than the interest in the preceding year. \n" ); document.write( "But your problem involves SIMPLE interest. \n" ); document.write( "The formula for the amount of simple interest is \n" ); document.write( "I = prt \n" ); document.write( "I = interest amount \n" ); document.write( "p = initial amount \n" ); document.write( "r = interest rate \n" ); document.write( "t = time (years) \n" ); document.write( "Let's look at a simple example -- $1000 with an interest rate of 10%. \n" ); document.write( "The interest earned in 3 years is I = prt = ($1000)(.10)(3) = $300 \n" ); document.write( "The interest earned in 4 years is I = prt = ($1000)(.10)(4) = $400 \n" ); document.write( "The interest earned IN THE 4TH YEAR is $400-$300 = $100. \n" ); document.write( "The interest earned in 7 years is I = prt = ($1000)(.10)(7) = $700 \n" ); document.write( "The interest earned in 8 years is I = prt = ($1000)(.10)(8) = $800 \n" ); document.write( "The interest earned IN THE 4TH YEAR is $800-$700 = $100. \n" ); document.write( "The interest earned in the 8th year is THE SAME AS the interest earned in the 4th year. \n" ); document.write( " |