document.write( "Question 587926: I am lost on this question. Please help if you can... would be greatly appreciated and please provide a detailed explanation of how you got the answer.\r
\n" ); document.write( "\n" ); document.write( "a. What is the future value of $12,000 invested today in 9 years time if
\n" ); document.write( "interest was earned at 4.9% compounded semiannually?
\n" ); document.write( "b. What is the total dollar amount of interest earned by this investment?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #374300 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
a. What is the future value of $12,000 invested today in 9 years time if
\n" ); document.write( "interest was earned at 4.9% compounded semiannually?
\n" ); document.write( "b. What is the total dollar amount of interest earned by this investment?
\n" ); document.write( "**
\n" ); document.write( "Compound Interest Formula: A=P(1+r)^n, P=initial investment, r=interest rate per period, n=number of periods, A=amount after n periods.
\n" ); document.write( "For given problem:
\n" ); document.write( "P=12000
\n" ); document.write( "r=.049/2=0.0245
\n" ); document.write( "n=2*9=18
\n" ); document.write( "..
\n" ); document.write( "A=12000(1+.0245)^18
\n" ); document.write( "A=12000(1.0245)^18=18552.25
\n" ); document.write( "Interest=18552.25-12000=6552.25
\n" ); document.write( "..
\n" ); document.write( "future value of $12,000=$18552.25
\n" ); document.write( "amount of interest earned =$6552.25
\n" ); document.write( "
\n" ); document.write( "
\n" );