document.write( "Question 196040: How much principal should you invest at 4% in order to have $3,000 for a vacation to Europe in 3 years?\r
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document.write( "Someone told me to use 3,000/1.125 because this is a logarithm problem, but I don't understand how I get the 1.125. Thank you for your help. \r
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Algebra.Com's Answer #146985 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! How much principal should you invest at 4% in order to have $3,000 for a vacation to Europe in 3 years? \n" ); document.write( ": \n" ); document.write( "thats essentially what you are doing, here's how that came about: \n" ); document.write( ": \n" ); document.write( "Use the compound interest formula which pretty simple since it is compounded yearly \n" ); document.write( ": \n" ); document.write( "P*(1+r)^t = A \n" ); document.write( "Where \n" ); document.write( "P = the principal \n" ); document.write( "r = interest rate (.04) \n" ); document.write( "A = Accumulated amt (3000) \n" ); document.write( "t = time (3 yrs) \n" ); document.write( ": \n" ); document.write( "P*(1.04)^3 = 3000; find 1.04^3 on your calc, you don't need logs \n" ); document.write( ": \n" ); document.write( "P*1.124864 = 3000; (they rounded it to 1.125) \n" ); document.write( "; \n" ); document.write( "P = \n" ); document.write( "P = $2,666.99 invested to increase to 3000 after 3 yrs \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check on a calc: enter 2666.99(1.04^3) = 3000 \n" ); document.write( " \n" ); document.write( " |