document.write( "Question 1180763: The amount of water left in a cup after sitting outside in the sun can be modelled by the function A(t) = 120((1/2)^t/3 where A(t) represents the amount of water in mL and t represents the time passed in hours.\r
\n" ); document.write( "\n" ); document.write( "1. how much water will be there after 24 hours? Round your answer to 2 decimal places.\r
\n" ); document.write( "\n" ); document.write( "2. How long it takes for the amount of water to get to 15 mL? \n" ); document.write( "

Algebra.Com's Answer #810538 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The amount of water left in a cup after sitting outside in the sun can be modelled by the function
\n" ); document.write( "A(t) = 120((1/2)^t/3 where A(t) represents the amount of water in mL and t represents the time passed in hours.
\n" ); document.write( "1. how much water will be there after 24 hours? Round your answer to 2 decimal places.
\n" ); document.write( "2. How long it takes for the amount of water to get to 15 mL?
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document.write( "The given function describes a decay process with half-life decay period of 3 hours.\r\n" );
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document.write( "24 hours after beginning of the process is 8 (eight) half-life periods, so the amount of the water after 24 hours \r\n" );
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document.write( "will be    = 0.46875 mL = 0.47 mL  (rounded).\r\n" );
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document.write( "It is the answer to the first question.\r\n" );
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document.write( "To answer the second question, note that  = 8 = ,  meaning 3 (three) half lives.\r\n" );
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document.write( "So, 3*3 = 9 hours are needed in this case.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved and carefully explained.\r
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\n" ); document.write( "\n" ); document.write( "This problem has one deficiency. The 24-hours period inevitably includes day and night.\r
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\n" ); document.write( "\n" ); document.write( "It is difficult to imagine that the same exponential function describes evaporation from the cup
\n" ); document.write( "simultaneously at the day and at the night period.\r
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\n" ); document.write( "\n" ); document.write( "At this site, there are several lessons on exponential decay/growth problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving problem on Newton Law of cooling \r
\n" ); document.write( "\n" ); document.write( "    - Population growth problems \r
\n" ); document.write( "\n" ); document.write( "    - Radioactive decay problems \r
\n" ); document.write( "\n" ); document.write( "    - Carbon dating problems \r
\n" ); document.write( "\n" ); document.write( "    - Bacteria growth problems \r
\n" ); document.write( "\n" ); document.write( "Look into these lessons to make your horizon wider.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Logarithms\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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