document.write( "Question 222556: Calculate the following equation.\r
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document.write( "10000=500(1+R/100)^25\r
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document.write( "I know that this question seems really simple, but actually I don't know the way to calculate it. So I request you to explain me everything in details.It would be a great pleasure for me. Thankyou very much indeed. \n" );
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Algebra.Com's Answer #166619 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 10000 = 500(1+R/100)^25 \n" ); document.write( ": \n" ); document.write( "rewrite the equation to \n" ); document.write( "500(1 + .01R)^25 = 10000 \n" ); document.write( ": \n" ); document.write( "Divide both sides by 500 \n" ); document.write( "(1 + .01R)^25 = 20 \n" ); document.write( ": \n" ); document.write( "Use logs \n" ); document.write( "25*log(1 + .01R) = log(20) \n" ); document.write( ": \n" ); document.write( "log(1 + .01R) = \n" ); document.write( "log(1 + .01R) = .05204 \n" ); document.write( ": \n" ); document.write( "Find the 10^x (antilog) \n" ); document.write( "1 + .01R = 1.1273 \n" ); document.write( ": \n" ); document.write( ".01R = 1.1273 - 1 \n" ); document.write( ".01R = .1273 \n" ); document.write( ": \n" ); document.write( "Multiply both sides by 100 \n" ); document.write( "R = 12.73 \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution on calc: enter: 500(1+(12.73/100))^25 = 9999 ~ 10000 \n" ); document.write( " |