mac1105_review_4 - REVIEW UNIT IV L25 L26 FORMULAS TO...

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1 REVIEW UNIT IV L25 – L26 FORMULAS TO MEMORIZE : Compound Interest Formula: 1 nt r AP n ⎛⎞ =+ ⎜⎟ ⎝⎠ Continuous Compounding: rt A Pe = Exponential Growth or Decay: ( ) 0 kt A tA e = The Binomial Formula: () 0 n n nj j j n x yx y j = += , where ! !! n n j jn j = Radioactive Decay: 0 1 2 t m At A = , 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 ( ) ( ) 3l n 2/ 2 0 t Nt Ne = where t is in hours. 3. A radioactive substance is decaying so that the number of grams present after t days is given by ( ) 0.02 2000
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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.

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