document.write( "Question 979326: The lesson is all about extracting the roots so correct me if im in the wrong lessons...
\n" );
document.write( "But anyway hope anyone can solve my another question :)
\n" );
document.write( "When the amount of (p) is invested at annual interest rate (r) compounded for (t) years, it will grow to an amount (a) given by the formula\r
\n" );
document.write( "\n" );
document.write( "A=P (1+r)^t\r
\n" );
document.write( "\n" );
document.write( "1 Suppose php 20,000 is invested at an interested rate (r) compounded annually in 5 years, it will grow to php 60,000. What is the interest rate?\r
\n" );
document.write( "\n" );
document.write( "2 suppose in five years, the php 35,000 invested grows to php 75 345.75 , what is the interest rate? \n" );
document.write( "
Algebra.Com's Answer #600613 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! P=Po{!+r/n}^nt\r \n" ); document.write( "\n" ); document.write( "60000=20000{1+r}^5\r \n" ); document.write( "\n" ); document.write( "3= (1+r)^5 \n" ); document.write( "ln of both sides \n" ); document.write( "1.0986=5 ln (1+r) \n" ); document.write( "divide by 5 without rounding.\r \n" ); document.write( "\n" ); document.write( "0.2197= ln (1+r) \n" ); document.write( "Raise both to e power \n" ); document.write( "1.2457= 1+ r \n" ); document.write( "0.2457=r or 24.6% \n" ); document.write( "1.246^5=3.003, so this checks.\r \n" ); document.write( "\n" ); document.write( "second one will be less since doubling and not trebling after 5 years. \n" ); document.write( "75345.75=35000 {1+r}^5 \n" ); document.write( "divide by 35000 and take ln of both sides \n" ); document.write( "ln 2.153= 5 ln (1+r) \n" ); document.write( "0.7667=5 ln (1+r) \n" ); document.write( "divide by 5 and raise both to e power \n" ); document.write( "1.1657= 1+r \n" ); document.write( "r=0.1657 or 16.6% \n" ); document.write( " |