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section16aK. - 1637 b At what time will there be 200 of the...

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MATH 119 Sample A Key (Sectons 1.6, 1.7) NAME: Class ID #: 1) You open an IRA account with an initial deposit of $8,000 which will accumulate tax-free at 4 % per year, compounded continuously. a) How much (to the nearest penny) will you have in your account after 10 years? $11,934.60 b) How long does it take your initial investment to double? 17.33 years 2) If 200 people have a cellular telephones in a company of 1000 employees. If the number of cellular phones was growing at 10% a year and the number of employees at 2% per year. How long will it take to have one cellular phone per employee? (assume continuous growth) 20.11 years 3) A fishery stocks a pond with 2000 young trout. The number of the original trout still alive after t years is given by: t e t P 4 . 0 2000 ) ( = a) How many trout left after 6 months
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Unformatted text preview: 1637 b) At what time will there be 200 of the original trout left? 5.76 years 4) At what interest rate, when compounded continuously, will an investment double in 5 years? 13.86% 5) It is determined that the value of a certain computer declines exponentially. A computer purchased 2 years ago for $5,000 is worth only $2,500 today. What will the value of the computer be 2 years from now? $ 1250 6) The half-life of a certain radioactive substance is 10 days. If there are 8 grams initially: a) Find the rate b) when will the substance be reduced to 2 grams? a) rate = 6.93% b) t = 20 days 7) a) Convert the function t e P 04 . 5000 = to the form t a P P o = b) Convert the function t P ) 03 . 1 ( 100 = to the form t e P P o = a) t P ) 0408 . 1 ( 5000 = b) t e P 0296 . 100 =...
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