document.write( "Question 1132773: A worker deposits the proceeds from a bonus in
\n" ); document.write( "an account that earns an annual simple interest
\n" ); document.write( "rate of 5%. The worker leaves the money in the
\n" ); document.write( "account for 10 years without adding or withdrawing
\n" ); document.write( "money. Is the amount of interest earned in the eighth
\n" ); document.write( "year less than, equal to, or more than the amount of
\n" ); document.write( "interest earned in the fourth year
\n" ); document.write( "

Algebra.Com's Answer #749886 by greenestamps(13200)\"\" \"About 
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.

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\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.
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