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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 A P n = + Continuous Compounding: rt A Pe = Exponential Growth or Decay: ( ) 0 kt A t A e = The Binomial Formula: ( ) 0 n n n j j j n x y x y j = + = , where ( ) ! ! ! n n j j n j = Radioactive Decay: ( ) 0 1 2 t m A t 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 ( ) ( ) 3 ln 2 / 2 0 t N t N e = where t is in hours. 3. A radioactive substance is decaying so that the number of grams present after
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