document.write( "Question 1148014: The radioactive tracer ⁵¹Cr can be used to locate the position of the placenta in a pregnant woman. Often the tracer must be ordered from a medical laboratory. If A₀ units (microcuries) are shipped, then because of the radioactive decay, the number of units A(t) present after t days is given by
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document.write( "A(t) = A₀e^(−0.0249t)\r
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document.write( "a) If 40 units are shipped and it takes 2 days for the tracer to arrive, approximately how many units will be available for the test? (Round your answer to one decimal place.)
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document.write( " units\r
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document.write( "(b) If 40 units are needed for the test, approximately how many units should be shipped? \n" );
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Algebra.Com's Answer #769378 by Theo(13342) You can put this solution on YOUR website! the formula is A[t] = A[0] * e ^ (-.0249 * t) \n" ); document.write( "when t = 2, the formula becomes A[2] = A[0] * e ^ (-.0249 * 2) \n" ); document.write( "this results in A[2] = 38.05678758. \n" ); document.write( "if A[2] is required to be 40, then the formula becomes 40 = A[0] * e ^ (-.0249 * 2) \n" ); document.write( "solve for A[0] to get A[0] = 40 / e ^ (-.0249 * 2) = 42.04243453 \n" ); document.write( "to have 40 units available in 2 days, 42.04243453 units would need to be shipped. \n" ); document.write( " \n" ); document.write( " |