1REVIEW UNIT IV L25 – L26 FORMULAS TO MEMORIZE: Compound Interest Formula: 1ntrAPn⎛⎞=+⎜⎟⎝⎠Continuous Compounding: rtAPe=Exponential Growth or Decay: ( )0ktAtAe=The Binomial Formula: ()0nnnj jjnxyxyj−=+=∑, where !!!nnjjn j=−Radioactive Decay:012tmAtA=, where m is the half-life of the radioactive substance. 1. George wants to buy a $30,000 car. He has saved $27,000. How many years will be needed for $27,000 to increase to $30,000 at 4% compounded (a) quarterly (b) continuously? 2. How long will it take a certain bacteria population to double if it grows according to the formula ( )()3ln2/20tNt Ne=where tis in hours. 3. A radioactive substance is decaying so that the number of grams present after tdays is given by ( )0.022000
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This note was uploaded on 11/07/2011 for the course MAC 1105 taught by Professor Picklesimer during the Fall '10 term at University of Florida.