document.write( "Question 329315: Can someone please shoe me how to do this word problem with the steps?! I am stuck!\r
\n" ); document.write( "\n" ); document.write( " Given the simple interest formula A=P(1+Rt). , where A is the accumulated amount you will have in t years if you invest the principal P at the rate R.
\n" ); document.write( "a) Solve the formula for R. Leave the answer simplified.
\n" ); document.write( "b) What rate of interest are you earning if in 5 years your $6,000 investment has grown to be $7,140?
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Algebra.Com's Answer #236031 by nyc_function(2741)\"\" \"About 
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(a) Solve the formula for R. Leave the answer simplified.\r
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\n" ); document.write( "\n" ); document.write( "We need to isolate R. In other words, we need to place R all alone on one side of the equation. Thisis what is meant by solve for R.\r
\n" ); document.write( "\n" ); document.write( "A = P(1 + Rt)\r
\n" ); document.write( "\n" ); document.write( "A = P + RPt\r
\n" ); document.write( "\n" ); document.write( "A - P = RPt\r
\n" ); document.write( "\n" ); document.write( "(A - P)/Pt = R\r
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\n" ); document.write( "\n" ); document.write( "(b) What rate of interest are you earning if in 5 years your $6,000 investment has grown to be $7,140?\r
\n" ); document.write( "\n" ); document.write( "We need to use the given formula.\r
\n" ); document.write( "\n" ); document.write( "A = P(1 + Rt)\r
\n" ); document.write( "\n" ); document.write( "Let A = 7140\r
\n" ); document.write( "\n" ); document.write( "Let R = rate of interest\r
\n" ); document.write( "\n" ); document.write( "Let P = 6000\r
\n" ); document.write( "\n" ); document.write( "Let t = 5\r
\n" ); document.write( "\n" ); document.write( "We now plug into formula and simplify.\r
\n" ); document.write( "\n" ); document.write( "7140 = 6000(1 + R5)\r
\n" ); document.write( "\n" ); document.write( "7140 = 6000 + 30000R\r
\n" ); document.write( "\n" ); document.write( "7140 - 6000 = 30000R\r
\n" ); document.write( "\n" ); document.write( "1140 = 30000R\r
\n" ); document.write( "\n" ); document.write( "1140/30000 = R\r
\n" ); document.write( "\n" ); document.write( "0.038 = R\r
\n" ); document.write( "\n" ); document.write( "3.8% = R\r
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