document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185719>Question 1185719</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with the homework.<BR>\n" );
document.write( "1. Calculate the total amount earned if R1200 is invested at 7.5% interest p.a. for 2.5 years.<BR>\n" );
document.write( "2. Calculate the simple interest earned on investing R3000 at 6% interest p.a. for 4years.<BR>\n" );
document.write( "3.calculate the simple interest owned on a loan of R5080 at 9% interest for 3years<BR>\n" );
document.write( "4. Calculate the total amount owed if R9000 is borrowed at 15% interest p.a for 3 month s </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #849621 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=849621\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's how to solve these financial math problems:\r<BR>\n" );
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document.write( "**1. Total Amount Earned (Compound Interest):**\r<BR>\n" );
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document.write( "*   Principal (P) = R1200<BR>\n" );
document.write( "*   Interest rate (r) = 7.5% = 0.075 (convert percentage to a decimal)<BR>\n" );
document.write( "*   Time (t) = 2.5 years\r<BR>\n" );
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document.write( "Since the problem says \"interest p.a.\" (per annum), it implies compound interest. The formula for compound interest is:\r<BR>\n" );
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document.write( "A = P(1 + rt)\r<BR>\n" );
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document.write( "Where:\r<BR>\n" );
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document.write( "*   A = Total amount<BR>\n" );
document.write( "*   P = Principal<BR>\n" );
document.write( "*   r = Interest rate<BR>\n" );
document.write( "*   t = Time\r<BR>\n" );
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document.write( "A = 1200 * (1 + 0.075 * 2.5)<BR>\n" );
document.write( "A = 1200 * (1 + 0.1875)<BR>\n" );
document.write( "A = 1200 * 1.1875<BR>\n" );
document.write( "A = R1425\r<BR>\n" );
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document.write( "**2. Simple Interest Earned:**\r<BR>\n" );
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document.write( "*   Principal (P) = R3000<BR>\n" );
document.write( "*   Interest rate (r) = 6% = 0.06<BR>\n" );
document.write( "*   Time (t) = 4 years\r<BR>\n" );
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document.write( "The formula for simple interest is:\r<BR>\n" );
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document.write( "I = Prt\r<BR>\n" );
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document.write( "Where:\r<BR>\n" );
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document.write( "*   I = Simple interest<BR>\n" );
document.write( "*   P = Principal<BR>\n" );
document.write( "*   r = Interest rate<BR>\n" );
document.write( "*   t = Time\r<BR>\n" );
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document.write( "I = 3000 * 0.06 * 4<BR>\n" );
document.write( "I = R720\r<BR>\n" );
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document.write( "**3. Simple Interest Owed:**\r<BR>\n" );
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document.write( "*   Principal (P) = R5080<BR>\n" );
document.write( "*   Interest rate (r) = 9% = 0.09<BR>\n" );
document.write( "*   Time (t) = 3 years\r<BR>\n" );
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document.write( "Using the same simple interest formula:\r<BR>\n" );
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document.write( "I = 5080 * 0.09 * 3<BR>\n" );
document.write( "I = R1371.60\r<BR>\n" );
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document.write( "**4. Total Amount Owed:**\r<BR>\n" );
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document.write( "*   Principal (P) = R9000<BR>\n" );
document.write( "*   Interest rate (r) = 15% = 0.15<BR>\n" );
document.write( "*   Time (t) = 3 months = 3/12 = 0.25 years (convert months to years)\r<BR>\n" );
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document.write( "Using the compound interest formula (because it says \"interest p.a.\")\r<BR>\n" );
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document.write( "A = P(1 + rt)<BR>\n" );
document.write( "A = 9000 * (1 + 0.15 * 0.25)<BR>\n" );
document.write( "A = 9000 * (1 + 0.0375)<BR>\n" );
document.write( "A = 9000 * 1.0375<BR>\n" );
document.write( "A = R9337.50<BR>\n" );
document.write( " </SPAN>\n" );
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