document.write( "Question 1166068: Margo borrows $1200, agreeing to pay it back with 7% annual interest after 10 months. How much interest will she pay? \n" ); document.write( "
Algebra.Com's Answer #790547 by Theo(13342)![]() ![]() You can put this solution on YOUR website! 7% annual interest means the interest rate is compound yearly. \n" ); document.write( "the formula for interest rate being compounded yearly is: \n" ); document.write( "f = p * (1 + r) ^ n \n" ); document.write( "f is the future value \n" ); document.write( "p is the present value \n" ); document.write( "r is the interest rate per year. \n" ); document.write( "n is the number of years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since 10 months = 10/12 of a year, then the formula becomes: \n" ); document.write( "f = 1200 * (1 + .07) ^ (10/12) \n" ); document.write( "this results in f = 1200 * 1.07 ^ (10/12) \n" ); document.write( "this results in f = 1269.602379 \n" ); document.write( "since i = f - p, then i = 69.602379 \n" ); document.write( "in this formula, i represents the interest, f represents the future value, p represents the present value.\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( " \n" ); document.write( " |