document.write( "Question 930789: A loan of $37,000 is made at 5.5% interest, compounded annually. After how many years will the amount due reach $62,000 or more? (Use the calculator provided if necessary.)Write the smallest possible whole number answer \n" ); document.write( "
Algebra.Com's Answer #565284 by lwsshak3(11628) ![]() You can put this solution on YOUR website! A loan of $37,000 is made at 5.5% interest, compounded annually. After how many years will the amount due reach $62,000 or more? (Use the calculator provided if necessary.)Write the smallest possible whole number answer \n" ); document.write( "*** \n" ); document.write( "Compound Interest Formula: \n" ); document.write( "A=P(1+r/n)^nt, P=initial investment, r=annual interest rate,n=number of compounding periods per year, A=amount after t years \n" ); document.write( "For given problem: \n" ); document.write( "P=37000 \n" ); document.write( "r=5.5%=.055 \n" ); document.write( "n=1 \n" ); document.write( "A=62000 \n" ); document.write( ".. \n" ); document.write( "62000=37000(1+.055)^t \n" ); document.write( "62/37=1.055^t \n" ); document.write( "tlog(1.055)=log(62/37) \n" ); document.write( "Using log keys on calculator: \n" ); document.write( "t=log(62/37)/log(1.055)≈10 yrs \n" ); document.write( " |