document.write( "Question 86387: 4) For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula, , let r = 8%, P = 1, and n = 1 and give the coordinates (t,A) for the points where t = 0, 1, 2, 3, 4. Round your answer to the hundredth's place.\r
\n" ); document.write( "\n" ); document.write( "a) Show coordinates in this space. \r
\n" ); document.write( "\n" ); document.write( "Show work in this space. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "b) Show graph here.\r
\n" ); document.write( "\n" ); document.write( "b) Most calculators have 2 different logs on them: log, which is base 10, and ln, which is base e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he needs a log to base 2 which is not on any calculator. To find the log of a number to any base, we can use a conversion formula as shown here:
\n" ); document.write( "
\n" ); document.write( "Using this formula, find . Round your answer to the hundredth's place.
\n" ); document.write( "Answer:
\n" ); document.write( "Show work in this space. \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #62497 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
4)\r
\n" ); document.write( "\n" ); document.write( "a)\r
\n" ); document.write( "\n" ); document.write( " $\"A=p%281%2Br%2Fn%29%5E%28n%2At%29\"$ Start with the given equation\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"A=1%281%2B0.08%2F1%29%5E%281%2At%29\"$ Plug in p=1, r=0.08, and n=1\r
\n" ); document.write( "\n" ); document.write( "Let t=0 and plug it into $\"A=1%281%2B0.08%2F1%29%5E%281%2At%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"A=1%281%2B0.08%2F1%29%5E%281%2A0%29\"$ Start with the given expression
\n" ); document.write( " $\"A=1%281%2B0.08%29%5E%281%2A0%29\"$ Divide 0.08 by 1 to get 0.08
\n" ); document.write( " $\"A=1%281%2B0.08%29%5E%280%29\"$ Multiply the exponents 1 and 0 to get 0
\n" ); document.write( " $\"A=1%281.08%29%5E%280%29\"$ Add 1 and 0.08 to get 1.08
\n" ); document.write( " $\"A=1%281%29\"$ Raise 1.08 to 0 to get 1
\n" ); document.write( " $\"A=1\"$ Multiply 1 and 1 to get 1\r
\n" ); document.write( "\n" ); document.write( "So our 1st point is (0,1)
\n" ); document.write( "
\n" ); document.write( "Let t=1 and plug it into $\"A=1%281%2B0.08%2F1%29%5E%281%2At%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"A=1%281%2B0.08%2F1%29%5E%281%2A1%29\"$ Start with the given expression
\n" ); document.write( " $\"A=1%281%2B0.08%29%5E%281%2A1%29\"$ Divide 0.08 by 1 to get 0.08
\n" ); document.write( " $\"A=1%281%2B0.08%29%5E%281%29\"$ Multiply the exponents 1 and 1 to get 1
\n" ); document.write( " $\"A=1%281.08%29%5E%281%29\"$ Add 1 and 0.08 to get 1.08
\n" ); document.write( " $\"A=1%281.08%29\"$ Raise 1.08 to 1 to get 1.08
\n" ); document.write( " $\"A=1.08\"$ Multiply 1 and 1.08 to get 1.08\r
\n" ); document.write( "\n" ); document.write( "So our 2nd point is (1,1.08)
\n" ); document.write( "
\n" ); document.write( "Let t=2 and plug it into $\"A=1%281%2B0.08%2F1%29%5E%281%2At%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"A=1%281%2B0.08%2F1%29%5E%281%2A2%29\"$ Start with the given expression
\n" ); document.write( " $\"A=1%281%2B0.08%29%5E%281%2A2%29\"$ Divide 0.08 by 1 to get 0.08
\n" ); document.write( " $\"A=1%281%2B0.08%29%5E%282%29\"$ Multiply the exponents 1 and 2 to get 2
\n" ); document.write( " $\"A=1%281.08%29%5E%282%29\"$ Add 1 and 0.08 to get 1.08
\n" ); document.write( " $\"A=1%281.1664%29\"$ Raise 1.08 to 2 to get 1.1664
\n" ); document.write( " $\"A=1.1664\"$ Multiply 1 and 1.1664 to get 1.1664\r
\n" ); document.write( "\n" ); document.write( "So our 3rd point is (2,1.1664)
\n" ); document.write( "
\n" ); document.write( "Let t=3 and plug it into $\"A=1%281%2B0.08%2F1%29%5E%281%2At%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"A=1%281%2B0.08%2F1%29%5E%281%2A3%29\"$ Start with the given expression
\n" ); document.write( " $\"A=1%281%2B0.08%29%5E%281%2A3%29\"$ Divide 0.08 by 1 to get 0.08
\n" ); document.write( " $\"A=1%281%2B0.08%29%5E%283%29\"$ Multiply the exponents 1 and 3 to get 3
\n" ); document.write( " $\"A=1%281.08%29%5E%283%29\"$ Add 1 and 0.08 to get 1.08
\n" ); document.write( " $\"A=1%281.259712%29\"$ Raise 1.08 to 3 to get 1.259712
\n" ); document.write( " $\"A=1.259712\"$ Multiply 1 and 1.259712 to get 1.259712\r
\n" ); document.write( "\n" ); document.write( "So our 4th point is (3,1.259712)
\n" ); document.write( "
\n" ); document.write( "Let t=4 and plug it into $\"A=1%281%2B0.08%2F1%29%5E%281%2At%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"A=1%281%2B0.08%2F1%29%5E%281%2A4%29\"$ Start with the given expression
\n" ); document.write( " $\"A=1%281%2B0.08%29%5E%281%2A4%29\"$ Divide 0.08 by 1 to get 0.08
\n" ); document.write( " $\"A=1%281%2B0.08%29%5E%284%29\"$ Multiply the exponents 1 and 4 to get 4
\n" ); document.write( " $\"A=1%281.08%29%5E%284%29\"$ Add 1 and 0.08 to get 1.08
\n" ); document.write( " $\"A=1%281.36048896%29\"$ Raise 1.08 to 4 to get 1.36048896
\n" ); document.write( " $\"A=1.36048896\"$ Multiply 1 and 1.36048896 to get 1.36048896\r
\n" ); document.write( "\n" ); document.write( "So our 5th point is (4,1.36048896)
\n" ); document.write( "
\n" ); document.write( "b)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Here is a table of all of our points:\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " x y
 0 1
 1 1.08
 2 1.1664
 3 1.259712
 4 1.36048896\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "So lets graph these points and connect them\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------------------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "The problem doesn't show up, all it says is:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"Using this formula, find .\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "where I'm assuming the problem would be\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );