document.write( "Question 1145264: How do I take the monthly payment formula for compound interest and solve for t?
\n" ); document.write( "The formula I am referring to is:\r
\n" ); document.write( "\n" ); document.write( "A=P(1+r/n)^(nt) + M((1+r/n)^(nt) -1)(n/r)\r
\n" ); document.write( "\n" ); document.write( "Where A= Future Value of the investment
\n" ); document.write( "P = Principle or Present Value of the investment
\n" ); document.write( "r = interest rate
\n" ); document.write( "n = number of times per year interest is compounded
\n" ); document.write( "t = the number of years it will take for the investment to mature
\n" ); document.write( "M = the monthly payment or regular contribution to the investment account\r
\n" ); document.write( "\n" ); document.write( "Thank you!\r
\n" ); document.write( "\n" ); document.write( "MM
\n" ); document.write( "

Algebra.Com's Answer #766495 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
How do I take the monthly payment formula for compound interest and solve for t?
\n" ); document.write( "The formula I am referring to is:\r
\n" ); document.write( "\n" ); document.write( "A=P(1+r/n)^(nt) + M((1+r/n)^(nt) -1)(n/r)\r
\n" ); document.write( "\n" ); document.write( "Where A= Future Value of the investment
\n" ); document.write( "P = Principle or Present Value of the investment
\n" ); document.write( "r = interest rate
\n" ); document.write( "n = number of times per year interest is compounded
\n" ); document.write( "t = the number of years it will take for the investment to mature
\n" ); document.write( "M = the monthly payment or regular contribution to the investment account\r
\n" ); document.write( "\n" ); document.write( "Thank you!\r
\n" ); document.write( "\n" ); document.write( "MM
\n" ); document.write( "
In order to solve for t, we need to get that variable by ITSELF
\n" ); document.write( "
\n" ); document.write( " ------- Multiplying last 2 expressions
\n" ); document.write( " --------- Distributing last expression
\n" ); document.write( " --------- Adding \"Mn%2Fr\" to both sides
\n" ); document.write( " ------------------ Factoring out right side
\n" ); document.write( " ---------------- Dividing both sides by \"P+%2B+%28Mn%2Fr%29\"
\n" ); document.write( "
\n" ); document.write( " ---------- Applying KCF to left side
\n" ); document.write( " ----------------------- Cancelling and simplifying left-side fractions
\n" ); document.write( " ------------------ Converting to LOGS
\n" ); document.write( "
\n" ); document.write( "That's it! Quite GRUELING, I might add!! \n" ); document.write( "
\n" );