document.write( "Question 1204505: convert the given exponential function to the form indicated. Round all coefficients to four significant digits.
\n" ); document.write( "f(t) = 11(0.957)^t; f(t) = Q0^e−kt \n" ); document.write( "
Algebra.Com's Answer #840787 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "There's a typo.
\n" ); document.write( "The Q0^e-kt should be Q0*e^(-kt)\r
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\n" ); document.write( "\n" ); document.write( "Compare f(t) = 11(0.957)^t with f(t) = Q0*e^(-kt) to find that Q0 = 11.\r
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\n" ); document.write( "\n" ); document.write( "The e^(-kt) part is the same as (e^(-k))^t or (1/(e^k))^t\r
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\n" ); document.write( "\n" ); document.write( "Set e^(-k) equal to 0.957 to determine k.
\n" ); document.write( "e^(-k) = 0.957
\n" ); document.write( "Ln( e^(-k) ) = Ln(0.957)
\n" ); document.write( "-k*Ln( e ) = Ln(0.957)
\n" ); document.write( "-k*1 = Ln(0.957)
\n" ); document.write( "-k = Ln(0.957)
\n" ); document.write( "k = -1*Ln(0.957)
\n" ); document.write( "k = 0.043952 approximately
\n" ); document.write( "k = 0.0440 when rounding to 4 significant digits.\r
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\n" ); document.write( "\n" ); document.write( "Answer:
\n" ); document.write( "f(t) = 11*e^(-0.0440t)
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