document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024729>Question 1024729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with these problems. Thanks and show all work\r<BR>\n" );
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document.write( "1. A bank features a savings account that has an annual percentage rate of r=4.7<BR>\n" );
document.write( "% with interest compounded quarterly. Zach deposits $3,500 into the account. \r<BR>\n" );
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document.write( "The account balance can be modeled by the exponential formula S(t)=P(1+rn)nt<BR>\n" );
document.write( ", where S is the future value, P is the present value,r is the annual percentage rate, n is the number of times each year that the interest is compounded, and t is the time in years. \r<BR>\n" );
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document.write( " (A) What values should be used for P, r, and n?P=, r=, n=<BR>\n" );
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document.write( " (B) How much money will Zach have in the account in 8 years? <BR>\n" );
document.write( " Answer = $ .     Round answer to the nearest penny\r<BR>\n" );
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document.write( "2.If 15700 dollars is invested at an interest rate of 8 percent per year, find the value of the investment at the end of 5 years for the following compounding methods. <BR>\n" );
document.write( " (a) Annual: <BR>\n" );
document.write( " Your answer is      <BR>\n" );
document.write( " (b) Semiannual: <BR>\n" );
document.write( " Your answer is      <BR>\n" );
document.write( " (c) Monthly: <BR>\n" );
document.write( " Your answer is      <BR>\n" );
document.write( " (d) Daily: <BR>\n" );
document.write( " Your answer is      \r<BR>\n" );
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document.write( "3.  An unknown radioactive element decays into non-radioactive substances. In 420 days the radioactivity of a sample decreases by 26 percent. \r<BR>\n" );
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document.write( " (a) What is the half-life of the element? <BR>\n" );
document.write( " half-life:      (days) \r<BR>\n" );
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document.write( " (b) How long will it take for a sample of 100 mg to decay to 75 mg? <BR>\n" );
document.write( " time needed </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #640106 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=640106\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ A\ =\ P\left(1\ +\ \frac{r}{100n}\right)^{nt}\">\r<BR>\n" );
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document.write( "Where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large A\"> is the final value of the investment of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large P\"> dollars at <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\"> percent interest compounded <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\"> times per year for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t\"> years.  Plug in the numbers and do the arithmetic.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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