section16bK. - years ago(a Find the decline rate 2.107(b...

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MATH 119 Sample B Key (Sectons 1.6, 1.7) NAME: Class ID #: 1. You open an IRA account with an initial deposit of $10,000 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? $ 14,918.25 b) How long does it take your initial investment to triple? 27.47 years 2. If 500 people have a personal computer in a town of 10,000 employees. If the number of PC was growing at 20% a year and the population at 10% per year. How long will it take to have PC per person? (assume continuous growth) 29.96 years 3) The population of a certain town is declining exponentially. If the population now is 10% less than it was 5
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Unformatted text preview: years ago. (a) Find the decline rate. 2.107% (b) When will the population be 50% of the original? (find the half-life) 32.89 years 4) How long does it take amount to double at 8.5% compounded: a) annually b) continuously a) t = 8.496 b) t = 8.154 5) If the quantity of a certain radioactive substance is decreases by 5% in 10 hours, find the half-life. t = 135.13 hours 6) The population of a certain town is declining exponentially due to immigration. If only 80% of the original population are still in town after 10 years: a) Find the decline rate. 2.23% b) How long will it take for the population to be half what it was? 31.06 years...
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