document.write( "Question 1193406: Question content area top
\n" ); document.write( "Part 1
\n" ); document.write( "A company will need ​$75,000 in 7 years for a new addition. To meet this​ goal, the company deposits money in an account today that pays ​4% interest compounded annually. Find the amount to the nearest hundred dollars that should be invested to total ​$75,000 in 7 years.
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Algebra.Com's Answer #825430 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "Answer: $57,000\r
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\n" ); document.write( "\n" ); document.write( "Work Shown:
\n" ); document.write( "A = P(1+r/n)^(n*t)
\n" ); document.write( "75,000 = P(1+0.04/1)^(1*7)
\n" ); document.write( "75,000 = P(1.31593177923584)
\n" ); document.write( "P = 75,000/(1.31593177923584)
\n" ); document.write( "P = 56,993.8359901548
\n" ); document.write( "P = 56,993.84
\n" ); document.write( "P = 57,000\r
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\n" ); document.write( "\n" ); document.write( "The 993.84 bumps up to 1000 when rounding to the nearest hundred dollars, which leads to 56000+1000 = 57000
\n" ); document.write( "In other words, 56993.84 is closer to 57000 than it is to 56900.
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