document.write( "Question 884226: If an amount of P in pesos is invested at r percentage compunded anually to an amount of A= P (1 + r)^t in two years. Suppose miss madrigal wants her money amounting to Php 200,000 to grow to Php 228,980 in 2 years. At what rate must she invest her money?\r
\n" ); document.write( "\n" ); document.write( "A= P(1+ r)^t\r
\n" ); document.write( "\n" ); document.write( "Where \r
\n" ); document.write( "\n" ); document.write( "P - original investment
\n" ); document.write( "r- interest per compound period
\n" ); document.write( "t - number of periods
\n" ); document.write( "A= amount of money at the end
\n" ); document.write( "

Algebra.Com's Answer #534102 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
start with the equation of:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A = P * (1+r)^t\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "replace A with 228980 and replace P with 200000 and replace t with 2 to get:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "228980 = 200000 * (1+r)^2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "divide both sides of the equation by 200000 to get:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "228980 / 200000 = (1+r)^2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "take the square root of both sides of the equation to get:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(228980 / 200000) ^ (1/2) = 1 + r\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "subtract 1 from both sides of the equation to get:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(228980 / 200000) ^ (1/2) - 1 = r\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "simplify to get:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "r = .07\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "that's your answer.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );