document.write( "Question 1085153: if the sum of money when compounded annually become 1140 in a 2 years & 1710 in 3 years at the rate of interest
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document.write( "A 30%
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document.write( "B 40%
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document.write( "C 50%
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document.write( "D 60% \n" );
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Algebra.Com's Answer #699188 by Theo(13342)![]() ![]() You can put this solution on YOUR website! in 2 years it is equal to 1140 \n" ); document.write( "in 3 years it is equal to 1710\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "between year 2 and year 3, it grew from 1140 to 1710.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this means that the third year amount is 1.5 * the second year amount, because 1710 / 1140 = 1.5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the actual growth rate would be (1710 - 1140) / 1140 = .5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a growth rate of .5 is equal to 50%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution should be 50%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a growth rate of 50% means that the value at each succeeding year is 1.5 times the value of the preceding year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to find out what the starting value must have been, divide 1140 by (1.5)^2 to get 506 and 2/3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply 506 and 2/3 by 1.5^3 and you get 1710.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |