document.write( "Question 1103993: Write the exponential function y=8(1.25)^t in the form y=ae^kt.
\n" ); document.write( "Once you have rewritten the formula, give k accurate to at least four decimal places.
\n" ); document.write( " k=_
\n" ); document.write( "If t is measured in years, indicate whether the exponential function is growing or decaying and find the annual and continuous growth/decay rates. The rates you determine should be positive in the case of growth or decay (by choosing decay the negative rate is implied).\r
\n" ); document.write( "\n" ); document.write( "(b) The annual growth rate is _% per year (round to the nearest 0.01%).
\n" ); document.write( "(c) The continuous growth rate is _% per year (round to the nearest 0.01%.
\n" ); document.write( "I tried working it out and I figured out that they were growth. My numbers (0.0025,8.20, and 0.25 respectively) were off.
\n" ); document.write( "

Algebra.Com's Answer #718710 by josgarithmetic(39628)\"\" \"About 
You can put this solution on YOUR website!
\"8%281.25%29%5Et=8%2Ae%5E%28kt%29\"\r
\n" ); document.write( "\n" ); document.write( "\"1.25%5Et=e%5E%28kt%29\"\r
\n" ); document.write( "\n" ); document.write( "\"t%28ln%281.25%29%29=kt%28ln%28e%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"ln%281.25%29=k\"\r
\n" ); document.write( "\n" ); document.write( "\"k=0.22314\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=8%2Ae%5E%280.22314t%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "NOT decay; but is for exponential growth. \"k%3E0\".
\n" ); document.write( "
\n" );